Answers
The table that represents a linear function is Table 1. Thus, the correct option is A.
What is a linear equation?A linear equation is an equation in which each term has at max one degree. Linear equation in variable x and y can be written in the form y = mx + c.
Linear equation with two variables, when graphed on a cartesian plane with axes of those variables, give a straight line.
We know that, slope m= (y2-y1)/(x2-x1)
Table 1:
Put (x1, y1)=(1, 5) and (x2, y2)=(2, 9) in slope formula
That is, (9-5)/(2-1)
= 4
Similarly, the slope between last two points is (9-5)/(4-1)
=4
Table 2:
Put (x1, y1)=(1, -5) and (x2, y2)=(2, 10) in slope formula
That is, (10+5)/(2-1)
= 15
Similarly, slope between last two points (20+15)/(4-3)
=35
Hence, the table that represents a linear function is Table 1. Thus, the correct option is A.
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Related Questions
3.21. a causal lti system has the following system function:(2(a) what is the roc for h(z)? (b) determine if the system is stable or not. (e) determine the difference equation that is satisfied by the input x[n) and the output yin. (d) use a partial fraction expansion to determine the impulse response h[n].
Answers
The ROC essentially specifies the parameters under which the system's impulse response, h(n), will converge.
What is meant by the roc for h(z)?When applying the z-transform on the sequence h, the ROC concept is applied to the function H(z) (n). The ROC essentially specifies the parameters under which the system's impulse response, h(n), will converge. Neither X(z), the input, nor Y(z), the output, are involved in the ROC.
The region (regions) where the z-transform converges is known as the region of convergence (ROC). We can uniquely determine the inverse z-transform thanks to ROC. Let's first think about some examples. The unit sample δ(n)has z-transform 1 , hence ROC exists all the z plane .
The Registrar of Companies assigns the company registration number, or CIN number as it is known in India (ROC). The Ministry of Corporate Affairs oversees the ROC, which is present in several Indian states. It is utilized to locate the essential information for every firm that is registered in India.
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A small square has an area of 40 inches squared. A large square has sides that are 8 times longer than the small square. What is the area of the large square?
Answers
Solution
Given that
Area f small square = 40 inches squared.
[tex]\begin{gathered} a=40 \\ \\ \text{ since a}=l^2 \\ \\ \Rightarrow40=l^2 \\ \\ \Rightarrow l=\sqrt{40} \end{gathered}[/tex]Let the side of the large square be L
Since the large square has sides that are 8 times longer than the small square
=> L = 8l
[tex]\begin{gathered} \Rightarrow L=8l \\ \\ \Rightarrow L=8(\sqrt{40}) \end{gathered}[/tex]Hence, the area of Large square is;
[tex]A=L^2=(8\sqrt{40})^2=64\times40=256[/tex]Hence, the area of the large square is: 256 inches squared.
8/13 x 3 =
SHOW YOUR WORKl
Answers
13 x 3 = 39
Answer: 24/39
8/13 x 3/1 = 24/13
24 - 13 =11
So, simplified answer is 1 11/13 or 24/13
Hope this helps!
A population grows according to an exponential growth model. The initial population is P0=9, and the growth rate isr=0.4.Then:P1 = P2 = Find an explicit formula for Pn. Your formula should involve NPn = Use your formula to find P9=Give all answers accurate to at least one decimal place
Answers
Answer:
From the question,
[tex]\begin{gathered} P_0=9 \\ r=0.4 \end{gathered}[/tex]The formula for the growth rate will be calculated using the formula below
[tex]\begin{gathered} F=P(1+r)^n \\ F=\text{future value} \\ P=present\text{ value} \\ r=\text{growth rate} \\ n=nu\text{mber of times per period} \end{gathered}[/tex]In,
[tex]\begin{gathered} P_0,n=0 \\ P_1,n=1 \\ P_2,n=2 \\ P_9,n=9 \end{gathered}[/tex]Given that
[tex]\begin{gathered} P_0=9 \\ F=P(1+r)^n \\ P_0=9(1+0.4)^0 \\ P_0=9\times1 \\ P_0=9 \end{gathered}[/tex][tex]\begin{gathered} F=P(1+r)^n \\ P_1=9(1+0.4)^1 \\ P_1=9\times1.4 \\ P_1=12.6 \end{gathered}[/tex]Hence,
P1 = 12.6
Also, we will have P2 to be
[tex]\begin{gathered} F=P(1+r)^n \\ P_2=9(1+0.4)^2 \\ P_2=9\times1.4^2 \\ P_2=17.64 \\ P_2\approx1\text{ decimal place} \\ P_2=17.6 \end{gathered}[/tex]Hence,
P2 = 17.6
Therefore,
The formula for Pn will be represented below as
[tex]\begin{gathered} P_n=9(1+0.4)^n \\ P_n=9(1.4)^n \end{gathered}[/tex]The explicit formula for Pn will be
[tex]P_n=9(1.4)^n[/tex]To figure out the values of P9. we will substitute the value of n=9 in the equation below
[tex]\begin{gathered} P_n=9(1.4)^n \\ P_9=9(1.4)^9 \\ P_9=185.9 \end{gathered}[/tex]Hence,
P9 = 185.9
the vertex of the function shown below is located at?
Answers
Given the graph of the parabola
AS shown in the figure
The coordinate of the vertex is the point (2.5, 2.25)
so, the answer will be:
the vertex of the function shown below is located at (2.5, 2.25)
PLEASE HELP ASAP GIVING 20
Answers
Answer:
I agree with your answer.
Step-by-step explanation:
How is 6 divided by (-3) equals -2
Answers
Since a positive number divide or multiplies a negative number
Then the answer will be a negative number
So:
6 / -3 = -2
6 is a positive number and it's being divide by -3 which is a negative number
So the answer is -2
how many 1/5 inch pieces can be cut from a piece of ribbon 7/20 of an inch long.
Answers
1) Gathering the data
1/5 inch
7/20 inches long
2) Let's them divide, 7/20 by 1/5 inches
When divide fractions, we multiply the reciprocal of the second fraction
and if possible we can simplify
find angle x giving your answer to one decimal place
Answers
⇒I will use the trig ratios to find the value x.
[tex]\frac{sin(x)}{11cm}=\frac{sin( 38)}{8} \\[/tex]
⇒Moving on solving I will use the cross multiplication
[tex]8sin(x)=11sin(38)\\sin(x)=\frac{11sin(38)}{8} \\x=sin^{-1} (\frac{11sin(38)}{8} )\\x=57,8[/tex]
∴ x=57,8°
Goodluck!!
P(x) = -0.3x² + 75x - 2000, where x represents the selling price.
1. At what price should the stands be sold to earn the maximum profit?
2. According to the function given, what is the maximum profit that the company can make?
3. What are the break-even points (the selling prices for which the profit is 0)? Give the answer to the nearest cent.
Answers
Answer:
Below in bold.
Step-by-step explanation:
P(x) = -0.3x² + 75x - 2000
Convert this to vertex form:
p(x) = -0.3(x^2 - 250)^2 - 2000
= -0.3[(x - 125)^2 - 125^2] - 2000
= -0.3[(x - 125)^2 - 15625] - 2000
= -0.3(x - 125)^2 + 4687.5 - 2000
= -0.3(x - 125)^2 + 2687.5
2687.5 is the maximum value of the profit.
1. This corresponds to a selling price of $125 for the stands.
2. Maximum profit is $2687.5.
3. At the breaking points P(x) = 0:
-0.3(x - 125)^2 + 2687.5 = 0
(x - 125)^2 = 2687.5 / -0.3 = 8958.33
x - 125 = +/- sqrt( 8958.33)
x = 125 +/- sqrt( 8958.33)
x = 30.352, 219.648,
So, the breaking even points are $30.35 and $219.65 to nearest cent.
Dog food comes in two different sized bags. The 40 lb bag sells for $24 while the 10 lb
bag sells for $7. Which is cheaper and by how much? (compare unit rates)
Answers
Answer:
The 40 lb bag is cheaper by $4
Step-by-step explanation:
10 x 4 = 40
7 x 4 = 28
If you bought the 10 lb bag 4 times, you'd spend more money than just buying the 40 lb bag once.
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the length and width of a rectangle are consecutive integers. the area of the rectangle is 210 square meters. find the length and width of the rectangle
Answers
The length and the width of the rectangle are 14 and 15 meters, respectively
How to determine the dimension of the rectangle?From the question, the statement is given as
Length and width are consecutive integers
Where
Area = 210 square feet
Represent the dimensions with x and y
Where Length = x and Width = y
And also, we have
y = x + 1
The area of a rectangle is
Area = Length x width
Mathematically, this can be represented as
Area = x * y
So, we have
x * y = 210
Substitute y = x + 1 in x * y = 210
x * (x + 1) = 210
Express 210 as 14 * 15
x * (x + 1) = 14 * 15
This means that
x = 14
Substitute x = 14 in y = x + 1
y = 14 + 1
Evaluate
y = 15
So, we have
x = 14 and y = 15
Hence, the length and the width are 14 and 15 meters
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The cost of entering a carnival and riding rides is given by the linear equation, c(r) = 1.25r + 6.00, where c(r) is the total cost of attending the carnival and r is the number of rides. the slope of the linear equation represents the response area .
Answers
Answer: Cost per rides
Step-by-step explanation:
Use the order of operations to find the value of the expression.12÷2*3-(7-5)O A.0O B.6O C.16O D.19
Answers
Given:
given expression is
[tex]12\div2\ast3-(7-5)[/tex]Find:
The main objective is to evaluate the expression.
Explanation:
we will use BoDMAS formula for evaluating the expression.
[tex]\begin{gathered} 12\div2\ast3-(7-5)=12\div2\ast3-2 \\ =6\ast3-2 \\ =18-2 \\ =16 \end{gathered}[/tex]Conclusion:
Therefore, correct option is C.16
HELP ME PLEASE ASAP!!!
2. Use the space provide to respond to each statement concerning the given graph of a radical function.
a.) State the domain of the function.
b.) State the range of the function.
c.) Identify the end behavior of the function.
d.) Identify the y – intercept. Write as an ordered pair.
e.) Explain how you know this function is increasing?
Answers
Part a
The domain is the set of x-values, which is [tex](-\infty, \infty)[/tex].
Part b
The range is the set of y-values, which is [tex](-\infty, \infty)[/tex].
Part c
As [tex]x \to \infty[/tex], [tex]y \to \infty[/tex], and as [tex]x \to -\infty[/tex], [tex]y \to -\infty[/tex].
Part d
The y-intercept is when x=0, which is [tex](0, 1)[/tex].
Part e
The function is increasing when y increases as x increases, which is true for this function.
Given f(x) = -x - 2, find f(-6).
Answers
Answer:
f( -6) = 4
Step-by-step explanation:
f(x) = -x -2 You will replace x with -6
f(-6) - -(-6) -2
f(-6) = 6 - 2
f(-6) = 4
Please help ASAP starting to fall behind! This equation really confuses me and if someone could help that would be amazing!
Given the function:
f(x) = x² - 4x - 2
Find the following values.
a) f(2)
f(2)=
b) f(4)
f(4)=
c) f(-3)
f(-3)=
Answers
f(4) = 4^2 - 4*4 - 2 = 16 - 16 - 2 = -2
f(-3) = (-3)^2 - 4*-3 - 2 = 9 + 12 - 2 = 19
Avery is in the business of manufacturing phones. She must pay a daily fixed cost to rent the building and equipment, and also pays a cost per phone produced for materials and labor. The labor and materials cost $100 for each phone manufactured, and the total cost of producing 3 phones in a day would be $600. Write an equation for C, in terms of p, representing total cost, in dollars, of producing pp phones in a given day.
Answers
If Avery is in the business of manufacturing phones. The equation for C, in terms of p, representing total cost, in dollars, of producing pp phones in a given day is: 100p + 300.
Determining the equation for total costGiven data:
Labor and materials cost = $100
Numbers of phones = 3
Total cost = $600
Where,
P = Total cost
The equation for C in terms of p is:
100p + 300
Now let determine the total cost
Total cost = $600 + ( 3 × $100)
Total cost = $600 $300
Total cost =$600
Therefore 100p + 300 is the equation.
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Prealgebra- Write an equation of the line that passes through the points(Question in photo) (Can only attach one photo at time, so for graphing part of question, i will send the photo)
Answers
Given:
Point 1 → (-5, 0.6)
Point 2 → (5, -2.4)
Find: the equation of the line and its graph
Solution:
To help us determine the equation of the line passing through the given points, let's use the Two-Point Form formula.
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]Let's plug into the formula above the coordinates of the two points.
[tex]y-0.6=\frac{-2.4-0.6}{5-(-5)}(x-(-5))[/tex]Then, solve.
[tex]y-0.6=\frac{-3}{10}(x+5)[/tex]Multiply -3/10 by the terms inside the parenthesis.
[tex]y-0.6=-\frac{3}{10}x-1.5[/tex]Add 0.6 on both sides of the equation.
[tex]y-0.6+0.6=-\frac{3}{10}x-1.5+0.6[/tex][tex]\begin{gathered} y=-\frac{3}{10}x-0.9 \\ or \\ y=-0.3x-0.9 \end{gathered}[/tex]Hence, the equation of the line passing through the given points in slope-intercept form is y = -0.3x - 0.9.
In the equation, the slope is -3/10 while the y-intercept is -0.9.
Since the slope is negative, the line must be leaning to the left. Since the y-intercept is -0.9, the line must cross the y-axis or the vertical line at -0.9. Hence, the graph of the equation is:
What is (3 x 10^7) (3 x 10^8)?
Answers
[tex] = 3 \times 3 \times {10}^{7} \times 10^{8} \\ = 9 \times {10}^{7 + 8} \\ = 9 \times {10}^{15} \\ [/tex]
NOTE YOU CAN WRITE IT IN FULL BUT I CHOSE NOT TO BECAUSE IT'S LARGE .
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Point T is located at (2, 5). Point A is located at (-3, 1.5). Point A is the midpoint of segment TB.
Point B is the midpoint of segment TY. What are the coordinates of point Y?
Answers
Using the midpoint, the coordinates of point Y in the line segment TY is (-18, -9).
How to use midpoint to find coordinates?Point T is located at (2, 5). Point A is located at (-3, 1.5). Point A is the midpoint of segment TB.
Therefore, the mid point formula can be represented as follows:
(xₙ, yₙ) = (x₁ + x₂ / 2, y₁ + y₂ / 2)
Hence, let's find the coordinates of point B.
(-3, 1.5) = (2 + x₂ / 2 , 5 + y₂ / 2)
2 + x₂ / 2 = - 3
cross multiply
2 + x₂ = -6
x₂ = -6 -2
x₂ = - 8
1.5 = 5 + y₂ / 2
3 = 5 + y₂
y₂ = 3 - 5
y₂ = -2
Therefore, the coordinates of B is (-8, -2)
Hence, let's find the coordinate of point Y. The coordinates of point B is the mid point of segment TY.
(-8, -2) = (2 + x₂ / 2 , 5 + y₂ / 2)
(-8, -2) = (2 + x₂ / 2 , 5 + y₂ / 2)
2 + x₂ / 2 = - 8
-16 = 2 + x₂
x₂ = -18
-2 = 5 + y₂ / 2
-4 = 5 + y₂
-4 - 5 = y₂
y₂ = -9
Therefore, the coordinates of y is (-18, -9)
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A public storage company charges new customers an initial fee of $35.00. Each month of storage costs $18.75. The company uses the formula T = 35.00 + 18.75m to calculate the total charges, where T is the total charges, and m is the number of months of storage. How many months of storage would cost a new customer $260.00?
Answers
Answer:
12 months
Explanation:
Given the function that models the total chacrge of a company as T = 35.00 + 18.75m where;
T is the total charges,
m is the number of months of storage
Given
T = $260.00
we are to find the value of m
Substitute
260 = 35 + 18.75m
18.75m = 260 - 35
18.75m = 225
m = 225/18.75
m = 12
Hence it will take 12 months to cost a new custimer $260.00
3. Jackson's soccer coach filled the teams' water container with 40 quarts of
water. Since 32 ounces equal 1 quart, how many times can a soccer player fill a
16-ounce water bottle before using all the water?
Answers
40 times 32 = 1280
40 quarts = 1280 ounces of water
1280 ounces of water divided by 16 ounce water bottle = 80 refills
10m +6 < 76 or -6 - 10m s≤ -86
Answers
Answer:
m < 7 or m ≥ 8Step-by-step explanation:
Given system10m + 6 < 76 or- 6 - 10m ≤ - 86Solve each inequality:
10m + 6 < 7610m < 76 - 610m < 70m < 7or
- 6 - 10m ≤ - 86- 10m ≤ - 86 + 6- 10m ≤ - 80m ≥ 8The answer is: m < 7 or m ≥ 8
7+3(p-1)=64 how to solve
Answers
Answer:
p = 20
Step-by-step explanation:
7 + 3(p - 1) = 64 ( subtract 7 from both sides )
3(p - 1) = 57 ( divide both sides by 3 )
p - 1 = 19 ( add 1 to both sides )
p = 20
How can you show two figures are congruent?
O Use the Third Angles Theorem.
O Use rigid transformations.
O Confirm they have the same symmetries.
Answers
If at least two sides and one angle of two triangles are similar, then the triangles are congruent.
What in mathematics is the congruent?
It is claimed that two figures are "congruent" if they can be positioned exactly over one another. Both the shape and size of the bread slices are same if you lay one slice on top of the other. Congruent refers to having precisely the same form and size.Use the Third Angles Theorem for two figures are congruent.
When two of a triangle's angles match up with two of another triangle's angles, the third angle must likewise match up.
If at least two sides and one angle of two triangles are similar, then the triangles are congruent.
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An online furniture store sells chairs and tables. Each day, the store can ship no more than 19 pieces of furniture. Write an inequality that could represent the possible values for the number of tables sold, t, and the number of chairs sold, c, that would satisfy the constraint.
Answers
An inequality that could represent the possible values for the number of tables sold, t, and the number of chairs sold, c, that would satisfy the constraint is (c + t) ≤ 19
In this question, we have been given the online furniture store can ship not more than 19 pieces of chairs and tables each day.
If the possible number of chairs they can ship each day is represented by c and the possible number of tables they can ship each day is represented by t, then the inequality equation can be written as
(c + t) ≤ 19
Therefore, an inequality that could represent the possible values for the number of tables sold, t, and the number of chairs sold, c, that would satisfy the constraint is (c + t) ≤ 19
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HELPPppppp PLS AOUHF
Answers
As per the given three coordinate of the triangle, the area of the triangle is 9.5 square units.
Area of triangle:
In the triangle ABC as with vertices or coordinates are A(x1, y1), B(x2, y2), and C(x3, y3), has the area,
Area(ΔABC) = (1/2){x1(y2 − y3) + x2(y3 − y1) + x3(y1 − y2)}
As the area is always positive.
Given,
Here we have the triangle VWX,
And their coordinates are V (-9,-7), W(-4,-5), and X(-6,-2).
Now we have to find the area of the triangle.
To find the area of the triangle, let us consider the coordinates (x1,y1) as v(-9,-7), (x2,y2) as W(-4,-5) and (x3,y3) as X(-6,-2).
Now, we have to apply the values on the formula, in order to get the area of the triangle,
=> A = 1/2 |(-9 [-5-(-2)] + (-4)[-2 - (-7)] + (-6)[-7 - (-5)]|
When we expand the terms, then we get,
=> A = 1/2 |(-9)[-3] + (-4)[5] + (-6)[-2]|
Further simplify the expression will gives you the following,
=> A = 1/2 |27 - 20 + 12|
=> A = 1/2 |19|
Therefore, the area of the triangle is 9.5 square units.
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An elevator in a skyscraper rises 240 feet in 15 minute. What is the
elevator’s rate in feet per minute?
Answers
Answer:
Step-by-step explanation:
answer is 16
For a diving event, the highest and the lowest of seven scores are discarded. Next, the total of the remaining scores is multiplied by the degree of difficulty of the dive. That value is then multiplied by 0.6 to determine the final score. Find the final score for the dive.
A drawing of a score board of the event, 3-meter springboard. It shows the scores of the 7 judges as Judge 1, 80; judge 2, 75; judge 3, 90; judge 4, 70; judge 5, 80; judge 6, 85; judge 7, 75. The difficulty level is marked as 3.1.
Answers
Answer: 734.7
Step-by-step explanation:
We get rid of 90 and 70 since they are the highest and lowest scores.
80+75+80+85+75 = 395
395 * 3.1 = 1224.5
1224.5*0.6 = 734.7