Mr. Kimball receives a $3000 annual salary
increase on the anniversary of his hiring if he receives
a satisfactory performance review. His starting salary
was $41,250. Write an equation to show k, Mr.
Kimball's salary after t years at this company if his
performance reviews are always satisfactory.

Answers

Answer 1

Answer:

OK so he gets 3000 a year

so 3000t is what we need. thats 3000 times the number of years.

His starting salary is 41250, so we would add that on.  

K = 3000t + 41250.

Step-by-step explanation:


Related Questions

Please help
Select the correct choices that make the statement true.
Look at image

Answers

For the given image, the value of iota (i) is -i and 1.  

What does the arithmetic term "iota" mean?

Thus, the development of complex numbers has given rise to imaginary roots. The sign I which stands for Iota, is used to represent -1. (Imaginary number). In essence, I refers to the imaginary component, often known as the iota. I's value is -1. A square root with a negative value represents an imaginary value. Imaginary numbers can be calculated using any of the standard arithmetic operators. An imaginary number has a negative value when squared.

Complex numbers are expressed using the imaginary unit number, where I is defined as imaginary or unit imaginary. Here, we'll go over the chart and principles for imaginary numbers that are employed in mathematical computations.

The value of iota (i²) = -1

The given expressions can be represented in the following way -

= i² × i = -1 × i = -i

i⁸ = i² × i² × i² × i² = -1 × -1 × -1 × -1 = 1

To learn more about iota(i) from given link

https://brainly.com/question/29369374

#SPJ1

integrate both sides of the differential equation you found for dp to obtain an equation for p . your equation should then include a constant that depends on initial conditions. determine the value of this constant by assuming that the pressure at some reference height y0 is p0 .

Answers

The value of this constant, by assuming that the pressure at some reference height y₀ is p₀, is p - p₀ = p.g(y₀ - y).

dp = -pg dy

At height y = y₀ and p = p₀

∫dp = ∫-pg dy

⇒p = -pgy + C        Eqn(1)

Where c is the constant of integration

We know that y = y₀ and p = p₀

⇒p₀ = -pgy₀ + C

⇒C = p₀ + pgy₀

Put the value of C in Eqn(1)

⇒p = -pgy + p₀ + pgy₀

⇒p - p₀ = -pgy + pgy₀

⇒p - p₀ = pg(y₀ - y)

To know more about pressure, here

https://brainly.com/question/30244346

#SPJ4

solve this system of equations by using the elimination method.
2x+4y=8 2x+3y=4

Answers

Hey there!

Solution:Point Form: [tex](-4,4)[/tex]Equation Form: [tex]x=-4,y=4[/tex]

Hope this helps!

The volume of a rectangular box is 2x(2x + 5)(2x- 3). (Drawing is not to
scale.)
Height 2x - 3
Length 2x + 5
Width 2x
Which statement about the volume of the box is true?
O A. The volume is the product of the length, 2x 5, and the width, 2x.
O B. The volume is the sum of the length, 2x + of 5, the width, 2x, and the
height, 2x - 3
• C. The volume does not depend on the height, 2x - 3.
D. The volume is the product of the area of the base, 2x(2x + 5), and

Answers

The volume is the product of the area of the base, 2x(2x+5), and the height, 2x-3.

What is Volume?

A measurement of three-dimensional space is volume. It is frequently expressed quantitatively using SI-derived units, as well as several imperial or US-standard units. Volume and the notion of length are connected.

What is Area?

The size of a patch on a surface is determined by its area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.

Given that;

Height= 2x - 3

Length= 2x + 5

Width= 2x

We have the following equation for the rectangular box in this instance:

2x(2x + 5)(2x- 3)

We may come up with an equivalent formula for the volume by using the distributive property of multiplication.

We have then ;

[tex](4x^2+10x)(2x-3)[/tex]

Once more writing, we have:

[tex](8x^3+20x^2)+(-12x^2-30x)[/tex]

Including related terms, we have:

8x^3+8x^2-30x

To learn more about Volume click here:

https://brainly.com/question/24284033

#SPJ1

If log5 125 = x, then x =

Answers

Answer:

X=3

Step-by-step explanation:

If you enter log5(125)= x into your calculator that should be your answer

P= a+b+c
solve for b​

Answers

Refer to the attached image.

Answer:

[tex]b = P - a - c[/tex]

Step-by-step explanation:

Notice that there are 3 terms on the right hand side. You want to isolate b in order to solve for it.

I find it less confusing to place term containing the variable you want on the left hand side. (As long as it is positive).

[tex]a + b + c = P[/tex]

To isolate b subtract a and c from both sides

[tex]b = P -a - c[/tex]

please help with math

Answers

Answer:-3

Step-by-step explanation:

The y-intercept is where the line crosses the y-axis so in this case it is -3.

4. Find the area of the irregular shape. Round to the nearest tenth. 8 cm 5 cm
90.2 cm²
241 cm²
65.1 cm²
72.3 cm²​

Answers

Answer:  Total area = 40 cm² + 25.12 cm² = 65.12 cm²

Step-by-step explanation:

https://brainly.com/question/925961

Answer:65.1

Step-by-step explanation:

15. Reasoning The Annual Mug Race is the
longest river sailboat race in the world. The
event is run along the St. Johns River, which
is 310 miles long. About how many times as
long as the race is the river?

Answers

Using expression {River=x(race)} River's length is 7.38 times the race's length, approximately.

What are expressions?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division. For example, x + y is an expression, where x and y are terms having an addition operator in between. In math, there are two types of expressions, numerical expressions - that contain only numbers; and algebraic expressions- that contain both numbers and variables.

e.g. A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression. Mathematical expressions are used to solve complicated puzzles.

We know that

The river is 310 miles long.

The race is 42 miles long.

So, if we want to know know how many times as long as the race is the river, we just need to use this expression

River=x(race)

Where x represents the factor that expresses the ratio between both, solving for x we have

x=river/race=310/42≈7.38

Therefore,

            River's length is 7.38 times the race's length, approximately.

To know more about expressions visit the link

https://brainly.com/question/13947055?referrer=searchResults

#SPJ1

Right question:-

The Annual Mug Race 42 mile is the

longest river sailboat race in the world. The

event is run along the St. Johns River, which

is 310 miles long. About how many times as

long as the race is the river?

select the proper inverse operation to check the answer to 14+17=31

Answers

Answer:

31-17=14

Step-by-step explanation:

When you reverse it it equals the same answer

Answer:

31-14=17

Step-by-step explanation:

When We Reverse It,Will Be it Self.

The population of a small town increased from 25,056 people in 2002 36,720 in 2010 what is the percentage change in the population

Answers

well, we know in 2002 it was 25,056, then it ballooned to 36,720 in 2010, the difference is really 36720-25056 = 11664.

now, if we take 25,056(origin amount) to  be the 100%, what's 11664 off of it in percentage?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 25056 & 100\\ 11664& x \end{array} \implies \cfrac{25056}{11664}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{ 58 }{ 27 } ~~=~~ \cfrac{ 100 }{ x }\implies 58x=2700\implies x=\cfrac{2700}{58} \implies x\approx \stackrel{\%}{46.55}[/tex]

Write y=1/2x +8 in standard form using integers

Answers

Answer:  x-2y = -16

Work Shown:

y = (1/2)x+8

2y = 2*( (1/2)x+8 )

2y = x + 16

2y - 16= x

-16= x-2y

x-2y = -16

Side note: I multiplied both sides by 2 in the second step to clear out the fraction.

The answer x-2y = -16 is in standard form Ax+By = C

A = 1, B = -2, C = -16

Answer:
x-2y = 16
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C (A is a positive integer and B, C are
integers)
Given y=#x-8
Multiply through by 2 to clear the fraction 2y =x-16 ( subtract 2y from both sides )
0 = x-2y - 16 ( add 16 to both sides )
16 = × - 2y, that is
X- 2y = 16 ~ in standard form

A bag contains 6 red marbles and 4 blue marbles. If two marbles are drawn at random and not replaced, what is the probability that two red marbles are drawn?

Answers

If two marbles are drawn at random and not replaced, the probability that two red marbles are drawn is; 1/3

What is the probability of selection?

The parameters given for marbles in the bag are;

Number of red marbles = 6

Number of blue marbles = 4

Thus;

Total number of marbles = 6 + 4

Total number of marbles = 10 marbles

Now, probability of first selection being red marble = 6/10

Probability of second marble being red if first was not replaced = 5/9

Thus;

P(first two being red marbles) = (6/10) * (5/9)

= 1/3

Read more about Probability of selection at; https://brainly.com/question/251701

#SPJ1

what is the inequality for 3<-5n+2n

Answers

Answer:

n< -1

Step-by-step explanation:

1. Rewrite so n is on the left side of the inequality.

−5n+2n>3

2.Add 5n and 2n

-3n >3

3. Divide each term then simplify.

Find the slope of the line described in the table. (Please help)

Answers

Answer:

-1/2

Step-by-step explanation:

use any difference in Y

divided by the difference in X.

ΔY = 3-2 = 1

ΔX=-4-(-2)=-2

1/(-2) = slope

write the abbreviation for each of the following: match the words in the left column to the appropriate blanks in the sentences on the right. make certain each sentence is complete before submitting your answer.

Answers

1. The abbreviation for femtogram is - fg.

2. The abbreviation for decimeters is - dm.

3. The abbreviation for microliter is - μL or ul.

4. The abbreviation for femtosecond is - fs.

1. Femtogram (fg): A unit of mass measurement in the International System of Units (SI). It is equal to [tex]10^{-15}[/tex] grams and is commonly used to measure the mass of small particles or atoms.

2. Decimeter (dm): A unit of length measurement in the International System of Units (SI). It is equal to 0.1 meters and is commonly used to measure small distances.

3. Microliter (μL or ul): A unit of volume measurement in the International System of Units (SI). It is equal to [tex]10^{-6}[/tex] liters and is commonly used to measure very small volumes of liquids.

4. Femtosecond (fs): A unit of time measurement in the International System of Units (SI). It is equal to [tex]10^{-15}[/tex] seconds and is commonly used to measure very short periods of time, such as in atomic and molecular physics, chemistry, and photonics.

Read more about Units:

brainly.com/question/141163

#SPJ4

The complete question is -

write the abbreviation for each of the following: match the words in the left column to the appropriate blanks in the sentences on the right. make certain each sentence is complete before submitting your answer.

1. The abbreviation for femtogram is -

2. The abbreviation for decimeter is -

3. The abbreviation for microliter is -

4. The abbreviation for femtosecond is -

The ball thrown upwards hit the roof and returns back to the ground.The upward moment is given with : s= -t2+3t+4
and downward :s= - 2t2+t+7

How high is the roof from the ground ?

Answers

The height of the roof will be 10.75 units.

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is to find the height of the roof.

The upward motion is modelled by the equation -

S = - t² + 3t + 4

The height of the roof is equal to maximum height attained. For the maximum height attained -

dS/dt = 0

d/dt (- t² + 3t + 4) = 0

- 2t + 3 = 0

2t = 3

t = 3/2                                                    .... Eq(1)

The  height of the roof will be -

S(max) = - t² + 3t + 4

S(3/2) = - (3/2)² +(3 x 3/2) + 4

S(3/2) = 9/4 + 9/2 + 4

S(3/2) = 2.25 + 4.5 + 4

S(3/2) = 10.75 units.

Therefore, the height of the roof will be 10.75 units.

To solve more questions on algebraic expressions, visit the link below -

brainly.com/question/1041084

#SPJ1

Y=-2x-4 y=1/2x +6 what is the solution of the system of equation

Answers

Answer:

Step-by-step explanation:

Answer is ( -4, 4 )

Step by step

y = -2x -4 ➡️equation 1
y= 1/2x + 6 ➡️equation 2

Using substitution method, substitute the value of y from equation 1 in for y in equation 2 and solve for x

-2x -4 = 1/2x + 6
Subtract 1/2x from both sides to combine x

-2x -1/2x -4 = 1/2x - 1/2x + 6
Simplify

-2 1/2x -4 = 6
Add 4 to both sides to combine constants

-2 1/2x -4 +4 = 6 + 4
Simplify

-2 1/2x = 10
Divide both sides by -2 1/2 to solve for x

-2 1/2 / -2 1/2 x = 10 / -2 1/2

x = -4

Now substitute -4 for x in the first equation

y = -2(-4) -4
y = 8 - 4
y = 4

So your solution is ( -4, 4)

b) Five thousand three hundred and forty-five plus eight hundred and six in number​

Answers

Answer:

I'm not sure if this is what you meant but 5,345 + 806 = 6,151

Step-by-step explanation:

Answer:6151

Step-by-step explanation:

5345 + 806 = 6151

List all real values of xx such that f(x)=0. If there are no such real x, type none in the answer blank. If there is more that one real xx, give a comma separated list (e.g. 1,2).
f(x)=19x2+10x
x =

Answers

The all the real values of x , such that for the function f(x) = 19x² + 10x satisfies f(x) = 0 are 0 , -10/19  .

The function is  ⇒ f(x) = 19x² + 10x  ;

taking x common from both terms and writing it in factor form ,

we get ;

⇒ x(19x + 10) = 0  ;

we know that the product of any two number is zero only when one of them is 0 ,

that means ;

⇒ x = 0   or   19x + 10 = 0   ;

⇒ x = 0   or   19x = -10  ;

⇒ x = 0   or  x = -10/19  .

Therefore , all the real values of x such that f(x) = 0 are 0 , -10/19 .

The given question is incomplete , the complete question is

List all real values of x such that the function f(x)=0. If there are no such real x, type none in the answer blank. If there is more that one real x, give a comma separated list (e.g. 1,2).

f(x) = 19x² + 10x .

Learn more about Functions here

https://brainly.com/question/29159787

#SPJ4

Question 16 of 25
Simplify 67 +63
OA. 610
OB. 6-4
O C. 364
O D. 64

Answers

The simplification of the given expression after addition = 130.

What is addition?

Addition is defined as one of the arithmetic operations that is used for the combination of two of more values.

The given values from the question above;

67 + 63 = 130

Learn more about addition here:

https://brainly.com/question/25421984

#SPJ1

Please help
2 (x- 5) =9 - 3x + 6 + 8 + 3x + 7

Responses
x=10

x-20

x=40

x=80

Answers

Answer:

Step-by-step explanation:

2(x-5)=9-3x+6+8+3x+7

2x-10=9-3x+14+3x+7                  {Adding the constant no.s +6 and +8}

2x-10=30-3x+3x                          {Adding all the constants +14 , +7, +9}

2x-10=30-0                                 {+3x and -3x cancels out}

2x-10=30                                    

2x=30-10                              {coefficient with variable i.e 2x on one side}

2x=20                         {20 divides by 2 if we bring coefficient 2 to right side}

x=10 Ans

The answer should be 20. He has made it in the right way. But there is a mistake in the previous answer. It should be corrected like this, 2x = 30 + 10

So the answer is x=20

Briefly explain the three lines of evidence for the Earth's relative age. Write your answer in the essay box below.
WILL GIVE BRAINLIEST

Answers

Answer:

There are several lines of evidence that scientists use to determine the relative age of the Earth and its various features. These include:

Stratigraphy: This refers to the study of rock layers and the sequence in which they were formed. Scientists use stratigraphy to determine the relative ages of different rock layers and the fossils they contain. The principle of superposition states that in any undisturbed sequence of rocks, the oldest rock layers will be at the bottom and the youngest will be at the top.

Fossil record: Fossils are the remains of plants and animals that lived in the past. By studying the fossils in rock layers, scientists can determine the relative ages of different rock formations and the organisms that lived in them. Fossils of extinct species found in lower rock layers are older than those found in higher rock layers.

Radiometric dating: This is a method that uses the decay of radioactive isotopes in minerals to determine the absolute age of rocks and minerals. Scientists can use radiometric dating to determine the age of a rock or mineral, and by comparing the ages of different rocks and minerals, they can determine the relative ages of different rock formations and the Earth's surface features.

A researcher reports that a sample of workers with high-stress careers slept significantly less than workers in the general
population, t(49)-2.5, p<.05.
• Compute eta-squared for this one-sample t test.
• Classification of effect.
(Privitera, 2019, p. 233, Learning check 3, #4, modified)

Answers

Eta-squared is a small effect size that means the difference between the sample of workers with high-stress careers and the general population is statistically significant, but not clinically meaningful.

What is eta-squared?

Eta-squared is a proportion of variation explained by a statistical model or an experimental design. It is used in ANOVA and other types of regression analysis to determine how much of a dependent variable's variation may be attributable to the independent variable (s).

In the given question, Eta-squared is computed by taking the square of the t-value (2.5 in this example) and dividing it by the sum of the t-value and degrees of freedom squares (49 in this case). The result is an eta-squared value of 0.050.

This eta-squared value corresponds to a modest impact size. This suggests that the gap between the sample of high-stress employees and the overall population is minor but statistically significant. In other words, high-stress professionals may sleep less than the general population, but the difference is not significant enough to be clinically significant.

To know more about eta-squared, visit

brainly.com/question/14298919

#SPJ1

Which is the area, A
A
, of this triangle, using the formula A=12ab⋅sin(C)
A
=
1
2
a
b
·
sin
C
?

Answers

The area of triangle, using the formula A is 146.9 in^2

How to find a area of triangle using trigonometry?

Trigonometry is a branch of mathematics that deals with the relationships between the angles and sides of triangles. It can be used to calculate the area of a triangle by using the length of its sides.

The most commonly used formula to calculate the area of a triangle is known as Heron's formula. This formula uses the lengths of the triangle's three sides, known as a, b, and c. Then use the formula A = 1/2 x[tex]\sqrt{(a + b+ c)(-a + b + c)(a - b + c)(a + b -c)}[/tex] to calculate the area of the triangle.

To calculate the area of a triangle using Heron's formula, first measure the length of each side of the triangle. Then use the lengths of the sides to calculate s using the formula above. Once you have calculated s, plug the values for a, b, and c into Heron's formula to calculate the area of the triangle.

A = 1/2ab⋅sin(C)

= 1/2(21 in. )(14 in.)⋅sin(88)

= 1/2(294 in.2 )⋅sin(88)

= 1/2(294 in.2 )⋅0.9945

A = 146.9 [tex]in^{2}[/tex]

To learn more about area of triangle, visit

brainly.com/question/17335144

#SPJ1

Find an equation for the line below. ​

Answers

Answer: - 4/5x + 1.8

Step-by-step explanation:

"-":  because the slope is negative

"4/5": because its the slope

"x": because it is part of 'mx + b'

"1.8": because it's the y-intercept that fits this equation

Answer:

y = -4/5x + 1.8

Step-by-step explanation:

1st find the slope, m,  using these 2 points:  (-4,5) and (6,-3)

m = (-3-5) / (6--4) = -8/10 = -4/5

Now use the point (-4, 5) in the the point-slope form to find b:

y - 5 = -4/5(x - -4)

y - 5 = -4/5(x + 4)

y - 5 = -4/5x - 16/5

y = -4/5x -16/5 + 25/5 = -4/5x + 9/5

Now write the equation in slope-intercept form:

y = -4/5x + 1.8

what does the equation y=x^2 represent as a curve in R^2

Answers

The equation y = x² represents a parabola as a curve

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The equation y = x² represents a parabola as a curve

The equation is given as:

y = x²

The above equation has a degree of 2

Polynomials that have a degree of 2 are referred to as quadratic equations

The curve of a quadratic equations are called parabola

Hence, the equation y = x² represents a parabola as a curve

Read more about parabola at:

brainly.com/question/4061870

#SPJ1

In a wind tunnel experiment; the force on a projectile due to air resistance was measured at different velocities: Velocity (100 ftlsec) 0 2 4 6 8 10Force (100 Ib) 0 2.8 14 38. 74.4 128Find an interpolating polynomial for these data It is highly recommended that you use software or a calculator. F(v) = ____ Use the polynomial to estimate the force on the projectile when it is traveling at 750 ftlsec:

Answers

The estimated force on the projectile when it is traveling at 750 ft/sec is approximately 696.7 lbs.

The Possible Interpolating Polynomial

One possible interpolating polynomial for these data points is a polynomial of degree 3, also known as a cubic polynomial. Using software or a calculator to fit a cubic polynomial to the data points, the resulting equation is:

F(v) = -0.00000016v³ + 0.0004v² - 0.08v + 0.4

To estimate the force on the projectile when it is traveling at 750 ft/sec, we can substitute 750 for v in the equation above:

F(750) = -0.00000016(750³) + 0.0004(750²) - 0.08(750) + 0.4

F(750) ≈ 696.7

The estimated force on the projectile when it is traveling at 750 ft/sec is approximately 696.7 lbs.

Learn more about The Possible Interpolating Polynomial here:

https://brainly.com/question/13427238

#SPJ4

NO LINKS!!!

Please help me with #53.

Answers

Answer:

53

a. Graph of equation attached

b.
Domain:
[tex]-\infty \: < x < \infty \:[/tex]
Interval notation: [tex]\left(-\infty \:,\:\infty \:\right)[/tex]

Range:
[tex]f(x) > 1\\\\[/tex]

Interval notation: [tex]\left(1,\:\infty \:\right)[/tex]

c. See explanation below and on attached graph

d. See explanation below

Step-by-step explanation:

53

The function to be used for answering questions is
[tex]f(x) = 8\left(\dfrac{1}{4}\right)^{x+4}+1[/tex]

a. Graph

Graph is plotted using online graphing tool. 2 points identified are (-4, 9) and (-3, 3)

b. Domain and Range

First let's understand what domain and range are

Definition of domain

The domain of a function, y = f(x),  is the set of input(x)  values for which the function is real and defined

The function has no undefined points nor domain constraints.  You can see that the graph goes to infinity for negative and positive x values Therefore,  the domain is :

[tex]-\infty \: < x < \infty \:[/tex]

which can be expressed in interval notation as:

[tex]\left(-\infty \:,\:\infty \:\right)[/tex]

Definition of range

The range of a function y = f(x) is the set of values for y over the domain for which the function is defined

As [tex]x \rightarrow \infty[/tex], [tex]y \rightarrow 1[/tex]

y never quite reaches 0 but its value approaches 1 and therefore the range is
[tex]f(x) > 1\\\\[/tex]

In interval notation:
[tex]\left(1,\:\infty \:\right)[/tex]

c. End Behavior

The end behavior of a function  f(x)  refers to how the function behaves when the variable x  increases or decreases without bound. In other words, the end behavior describes the ultimate trend in the graph of f(x) as [tex]x \rightarrow \pm \infty[/tex]

In this particular function we see that as [tex]x\to \:+\infty \:,\:f\left(x\right)\to \:1\\[/tex]

and as [tex]x\to \:-\infty \:,\:f\left(x\right)\to \:\infty\\[/tex]

d. Point (-3, 3)
By pure chance I chose this point as one of the points asked for in part a because I was looking for integer values I don't think it matters that there is repetition

(-3, 3) is plotted on the graph as point A

3. Evaluate f(-3)
We have
[tex]f(x) = 8\left(\dfrac{1}{4}\right)^{x+4}+1[/tex]

To find f(-3) substitute -3 for x in the above function:

[tex]f(-3) = 8\left(\dfrac{1}{4}\right)^{-3+4}+1\\\\= 8\left(\dfrac{1}{4}\right)^1} + 1\\\\\\= 8\left(\dfrac{1}{4}\right) + 1\\\\= 2 + 1 \\\\= 3[/tex]

So f(-3) = 3

Answer:

a)  See attachment 1.

b)  Domain: (-∞, ∞)

     Range: (1, ∞)

c)  As x → -∞, f(x) → ∞

    As x → ∞, f(x) → 1⁺

d)  See attachment 2.

e)  See below.

Step-by-step explanation:

Given exponential function:

[tex]f(x)=8\left(\dfrac{1}{4}\right)^{x+4}+1[/tex]

Part a

To find the y-intercept, input x = 0 and solve for y:

[tex]\implies f(0)=8\left(\dfrac{1}{4}\right)^{0+4}+1[/tex]

[tex]\implies f(0)=8\left(\dfrac{1}{4}\right)^{4}+1[/tex]

[tex]\implies f(0)=8\left(\dfrac{1}{256}\right)+1[/tex]

[tex]\implies f(0)=\dfrac{1}{32}+1[/tex]

[tex]\implies f(0)=\dfrac{33}{32}[/tex]

[tex]\implies f(0)=1.03125[/tex]

Therefore, the y-intercept is (0, 1.03125).

Substitute x = -2 into the function to find a second point on the curve:

[tex]\implies f(-2)=8\left(\dfrac{1}{4}\right)^{-2+4}+1[/tex]

[tex]\implies f(-2)=8\left(\dfrac{1}{4}\right)^{2}+1[/tex]

[tex]\implies f(-2)=8\left(\dfrac{1}{16}\right)+1[/tex]

[tex]\implies f(-2)=\dfrac{1}{2}+1[/tex]

[tex]\implies f(-2)=\dfrac{3}{2}[/tex]

[tex]\implies f(-2)=1.5[/tex]

Therefore, a second point on the curve is (-2, 1.5).

Part b

The domain of a function is the set of all possible input values (x-values).  

The domain of the given function is unrestricted:

Interval notation: (-∞, ∞)

The range of a function is the set of all possible output values (y-values).

As the exponential part of the function is always positive, the range of the given function is restricted:

Interval notation: (1, ∞)

Part c

As x approaches negative infinity, the function approaches positive infinity:

As x → -∞, f(x) → ∞

As x approaches positive infinity, the function approaches f(x) = 1.

As x → ∞, f(x) → 1⁺

Part d

See attachment 2.

Part e

Substitute x = -3 into the function:

[tex]\implies f(-3)=8\left(\dfrac{1}{4}\right)^{-3+4}+1[/tex]

[tex]\implies f(-3)=8\left(\dfrac{1}{4}\right)^{1}+1[/tex]

[tex]\implies f(-3)=8\left(\dfrac{1}{4}\right)+1[/tex]

[tex]\implies f(-3)=2+1[/tex]

[tex]\implies f(-3)=3[/tex]  

The point (-7, 0) is on the graph of the function y = f(x). Which point cannot be on the graph of y=f(x) ?

a. (0,0)

b. (0, -7)

c. (-7, -7)

d. (7, 0)

Answers

In the end, the following is an illustration of a point that cannot appear on the graph of y = f(x): (-7, 1).

what is function ?

Substances and their modifications, equations and surrounding structures, objects and their placements, and locations where they can be found are all included in the study of mathematics. The relationship between a group of inputs, each of which produces related output, is referred to as a "function." A function is a relationship between both inputs and outputs where each input produces a single, unique result. Every function has a domain and a codomain, often known as a scope. F is typically used to denote functions (x). An x is the input. Based on the following criteria, there are four primary categories of functions that are available: on functions, yet another functions, many-to-one functions, within functions, and on functions.

given

The task's purpose makes it clear that the point on the graph of y = f(x) that cannot be found.

The definition of a function, f(x), states that it is a relation that assigns just one value of y to each value of x.

As a result, the statement above suggests that the x-value -7 can only be given one y-value, which is 0, if the point (-7, 0) is on the graph of the function y = f(x).

In the end, the following is an illustration of a point that cannot appear on the graph of y = f(x): (-7, 1).

To know more about function visit:

https://brainly.com/question/28193995

#SPJ1

Answer:

(-7, -7) you cannot have the same x

example:

The point (6,0) is on the graph of the function y=f(x) . Which point cannot be on the graph of y=f(x)?

(6, 3)

(4,6)

(3,8)

(4,8)

you cannot choose (6, 3)

Other Questions
In each of the following situations, identify which of the twelve economic principles is at work. d. craigslist allows departing students to sell items such as used books, appliances, and furniture rather than giving them away as they formerly did. based on the data, which type of cell would be best suited for the lining the alveoli of the lungs, where diffusion of carbon dioxide and oxygen must occur very rapidly? on the surface, digital photography can seem simpler than film photography. because digital photography does not require access to chemicals or a darkroom. which of the following divisions would you invest in heavily? cargo inspection freight forwarding railroad loading shipping on november 1, year 2, davis co. discounted, with recourse, a $20,000, 10%, one-year, interest-bearing note receivable. the note is scheduled to mature on january 31, year 3, and the bank's discount rate is 12%. what amount, if any, must davis disclose as a contingent liability for the year ended december 31, year 2? compare the quantity in column a with the quantity in column b. choose the best answer. column a column b the volume of a cone with base radius The image of a trapezoid is shown.An isosceles trapezoid with a short base of 3 meters and a height of 5 meters. The portion of the large base from the left vertex to the perpendicular is 4 meters. The portion of the large base from the right vertex to the perpendicular is 7 meters.What is the area of the trapezoid? Baumgartner, Prosser, and Crowell are grading a calculus exam. There is a true-false question with ten parts. Baumgartner notices that one student has only two out of the ten correct and remarks, "The student was not even bright enough to have fipped a coin to determine his answers. " "Not so clear," says Prosser. "With 340 students I bet that if they all ?ipped coins to determine their answers there would be at least one exam with two or fewer answers correct. " Crowell says, "Im with Prosser. In fact, I bet that we should expect at least one exam in which no answer is correct if everyone is just guessing. " Who is right in all of this? which strengthened conservative opposition to the new deal in 1937? for each of the indefinite integrals below, choose which of the following substitutions would be most helpful in evaluating the integral. enter the appropriate letter (a,b, or c) in each blank. when working on opportunities sales representative at universal containers need to understand how their peershave Gordon irons some shirts for staff at a hotel. The total weight of these shirts is 9. 5 kg. Each shirt weighs 190 g. Gordon charges 38 to iron these shirts. He sees this advert for ironing in a newspaper. Ironing Palace Shirts 90p each Gordon thinks he charges less to iron these shirts than the Ironing Palace would charge. Is Gordon correct? Learning Task 4: This time, you will be prompted to draft an argumentative essayessay. Write your arfor a given topic. Provide the key elements using the template given. Do this isyour notebook. used bonds to issue new mortgages to families currently in default and to prevent foreclosure. Tu es en quelle catters class 3. Contureaz imaginea iernii din secvenele propuse: Students in a high school Marine Science class are learning about the scientific process. Four students were asked to write a testable prediction about deep-sea vents found in the ocean. Their responses are shown in the chart. Student Response Jin Deep-sea vents are too deep. Elizabeth Deep-sea vents are more interesting than caves. Carly Interest in deep-sea vents will decrease in the future. Raymond Ocean surface temperatures are warmer than water at deep-sea vents. Which student's prediction is the most testable using the scientific process? Jin Elizabeth Carly anyone know this? 8th grade math greenwood industries reports the following amounts at the end of the year: cash $ 47,500 service revenue $ 96,500 building 43,000 salaries expense 54,000 accounts payable 7,100 equipment 64,400 interest expense 2,900 accounts receivable 4,600 advertising expense 8,900 notes payable 22,600 in addition, the company had common stock of $71,000 at the beginning of the year and issued an additional $6,200 of common stock during the year. the company also had retained earnings of $23,500 at the beginning of the year and paid dividends of $1,600 during the year. required: 1. calculate net income. 2. prepare the statement of stockholders' equity. 3. prepare the balance sheet. Explain why, if the human population is growing exponentially we have not outstripped food production when there is a finite amount of arable land.