Answers
Answer:
Just plug-in the variable associated with the question.
Step-by-step explanation:
2) w(n) = n² + 5n --> replace the n with 6
4) w(x) = 3x - 1 --> replace the x with -8
6) k(n) = 3n² - 1 --> replace the n with 4
8) g(a) = -2a² + 5 --> replace the a with 9
For example, for number 8, the answer would be -157 if you plug in the value.
g(9) = -2(9)² + 5
= -2(81) +5
= -165 + 5
= -157
Related Questions
2) At a bake sale there were 48 raisin cookies sold. If the ratio of raisin cookies sold to
oatmeal cookies sold was 8: 5, what is the combined amount of raisin and oatmeal cooki
sold?
Answers
Answer: The combined amount of raisin and oatmeal cookies sold=80. Step-by-step explanation: Let x be the combined amount of raisin and oatmeal cookies sold.
Step-by-step explanation: i really hope this helps but lmk if i am wrong have a good day/night (: <3
Find the area of a rectangle that has a length of (x + 5) and a width of (x-3)
Answers
Answer:
(x^2+2x-15) units
Step-by-step explanation:
Area=LW
=(x+5)(x-3)
=x^2-3x+5x-15
(x^2+2x-15) units
The function f is given below. Find f-¹(z) and evaluate f-¹(-6).
Answers
Answer:
find the formula of the inverse function of a given function. For example, find the inverse of f(x)=3x+2.
Step-by-step explanation:
2 10 points
Sutton's cellphone plan calculates her bill by using the function, b (z) = 0.05x+75, where x is the number of minutes she uses the phone. What is her bill if she uses her
phone for 10000 minutes?
Answers
If she uses its phone for 10000 minutes, her cost will be $575.
What is linear equation:The typical form for two-variable linear equations is Ax+By=C. For example, 2x+3y=5 is a common linear equation. It is rather simple to find both intercepts when an equation is stated in this way (x and y).
According to the given data:The function b (z) = 0.05x+75,
value of x = 10000 minutes
Now putting the value of x into the equation we get:
b (z) = 0.05x+75,
b (z) = 0.05(10000)+75,
b (z) = 0.05(10000)+75,
= 500 + 75
b (z) = 575
The bill if she uses her phone for 10000 minutes = 575.
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Help me please !!!!
Answers
Meera works at the zoo's information desk. The total amount of time she spends giving directions is equal to 4 times the total amount of time she spends answering phone calls plus twice the amount of time she spends answering the phone and responding to emails. Which simplified expression represents the amount of time Meera spends giving directions?
A. 12a + r
B. 8s + r
C. 4a + 2 (a + r)
D. 6a + 2r
Answers
The simplified expression represents how much Meera spends giving directions is D. 6a + 2r.
What is a simplified expression?A simplified expression is a mathematical expression that has completed the mathematical operations of adding, subtracting, multiplying, and dividing with the known values.
Given a simplified expression, the work left would be to fill in the independent variables.
Data and Calculations:The total time spent answering phone calls = a
The total time spent responding to emails = r
The total time spent giving directions = 4a + 2(a + r) = 6a + 2r
Thus, we can conclude that Meera spends six times the amount she spends answering the phone and two times the time she spends responding to emails to give directions.
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HELLPPPP!!!!!! If the parent function f(x) = |x| is transformed to h(x) = |x| + 2, what transformation occurs from f(x) to h(x)? How are the vertex and range of h(x) affected?
Answers
h(x) is a translation upwards of 2 units of f(x), and the new range of the function h(x) will be [2, ∞)
What transformation is applied to f(x)?
We know that f(x) is the parent absolute value function:
f(x) = |x|
It is transformed so we get:
h(x)= |x| + 2
Remember that a vertical translation of N units is written as:
h(x) = f(x) + N
if N > 0, the translation is upwards.if N < 0, the translation is downwards.Then h(x) is a translation upwards of 2 units of f(x), and the new range of the function h(x) will be [2, ∞)
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(ECSEPTEMBER 2019) QUESTION 8 8.1 8.2 Determine f'(x) from first principles if f(x) = 3 - 2x² Determine: 8.2.1 D₂[x(x-2)²] 8.2.2 dx MATHEMATICS PI if y = ax 2x √x +3
Answers
After differentiating the function f(x)=3 - 2 x ², we get the result as d y / d x = - 4 x
Differentiation is a process applied to a function which finds the function's rate of change compared to the rate of change of the independent variable.
We are given the function as:
f(x)=3 - 2 x ²
We need to find d y / d x
For this we need to differentiate the function with respect to x.
Differentiating the function with respect to x, we get that:
d y / d x = ( 0 ) - 2 ( 2 x ) ( 1 )
d y / d x = 0 - 4 x
d y / d x = - 4 x
Therefore, after differentiating the function f(x)=3 - 2 x ², we get the result as d y / d x = - 4 x
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In order to solve the equation −3x + 6 = 5, the first step is to
Answers
And subtract 6 from the 5 on the right making it now -1
the equation is now -3x = -1
The value of X is represented with a point 4 unit to the left of 0
Answers
The x coordinate will be -4 for the expression "a point 4 unit to the left of 0".
We are given an expression:
" a point 4 unit to the left of 0 "
We need to find the value of x coordinate for this expression.
In geometry, a coordinate system is a system that makes use of one or extra numbers, or coordinates, to uniquely decide the placement of the factors or different geometric factors on a manifold which include Euclidean space.
We can write the expression as:
4 unit to the left of 0 will be - 4
So the point becomes:
( - 4 , 0)
So, the x coordinate becomes,
x = - 4
Therefore, the x coordinate will be -4 for the expression "a point 4 unit to the left of 0".
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does the function f(x)=(0,68)^x represent exponential growth, decay ,or neither
Answers
The given function represents exponential decay.
In mathematics, exponential decay refers to the process of decreasing an amount at a constant percentage rate over time.If a quantity diminishes at a rate proportionate to its present value, it is susceptible to exponential decay.The given function is f(x) = (0.68)^xFor the numbers between 0 and 1, with an increase in the power of the number, the final value decreases.In the given function, 0.68 is greater than 0 but less than 1.As we increase the value of its power, i.e., "x", the value of the function decreases.A graph of the function has been attached below for better visualisation.To learn more about functions, visit :
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1
A=h(B+b); A = 39, B = 8, b = 5
Answers
Solution,
Given,
A = 39
B = 8
b = 5
A = h(B+b)
Now,
A = h(B+b)
Putting the given values,
39 = h(8+5)
or, 39 = h×13
or, 39÷13 = h
or, 3 = h
or, h = 3
Therefore,the value of h is 3
HELP PLSSS
THE CORDINATE OF POINT T ARE (2,-14). The midpoint of segment ST is (2,-8). Find the coordinates of point s
Answers
Answer: f xc
Step-by-step explanation:
fff eeffffff
Jesse has 414 inches of ribbon for making bows. She uses 3 inches of ribbon for each bow. How many bows can she make?
Write a division expression that can be used to answer this question.
Answers
Answer:
414/3
Step-by-step explanation:
If she has 414 inches of ribbon and uses 3 inches for each bow then that means that you would have to divide 414 by 3 in order to find the amount of bows that Jesse could make
Ebony earned scores of 70 , 72 , 89 , 92 , 89 and 80 on six math tests. Determine her score on the seventh test if her average for the seven tests was 80? Enter your answer as a whole number
Answers
Answer:
70
Step-by-step explanation:
2. In the number 928,547,136, which digit is in the hundred thousands place?
Answers
Answer:
5.
Step-by-step explanation:
5 is in the hundred thousand place because starting from the right it goes ones, tens, hundreds, thousands, then thousands, and hundred thousand meaning 5 would be in that place.
The Chen family and the Aoki family each used their sprinklers last summer. The water output rate for the Chen family's sprinkler was 40L per hour. The water output rate for the Aoki family's sprinkler was 25L per hour. The families used their sprinklers for a combined total of 65 hours, resulting in a total water output of 2000L. How long was each sprinkler used?
Answers
Answer:
Chen family used the sprinklers for 25 hours
Aoki family used the sprinklers for 40 hours
Step-by-step explanation:
Let C be the number of hours the Chen family used the sprinklers and let A be the number of hours the Aoki family used the sprinklers
Total hours used
=> C + A = 65 (1)
Total water usage for Chen family = 40C (40 L per hour x no. hour)
Total water usage for Aoki family = 25C (25 L per hour x no. hours)
Total used by both families = 2000 L
So
40C + 25A = 2000 (2)
Therefore we have two equations in 2 variables which can be solved simultaneously
Multiply (1) by 25:
==> 25C + 25A = 25 x 65
==> 25C + 25A = 1,625 (3)
Subtract (3) from (2) to eliminate the A term:
(2) - (3) ==>
40C + 25A - (25C + 25A ) = 2000 - 1625
40C + 25A - 25C - 25A = 375
40C - 25C = 375
15C = 375
C = 375/15
C = 25
So the Chen family used the sprinklers for 25 hours
Since C + A = 65
A = 65 - C
==> A = 65 - 25
A = 40
The Aoki family used the sprinklers for 40 hours
What is the missing table value?
A. 9.4
B. 9.84
C. 10.16
D. 11.2
Answers
Answer: the answer is C. 10.16
Step-by-step explanation: on the right each value is going up by 2.54 cm so for the forth row on the right you just need to multiply 2.54 x 4 which equals 10.16
hope this helps
FIND THE ERROR Grant read the following axioms for a video game he is playing.
. There are four keys hidden on each level.
Each level ends when the player collects the third key.
.
• The game has 10 levels.
.
From these axioms, Grant concluded:
• to complete the game, he will need to find 30 keys.
.
. there are 40 keys in the game.
• he can collect all 40 keys in the game.
Are Grant's conclusions correct? Explain your reasoning.
Answers
Step-by-step explanation:
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what is the arctan (-1)?
B. [tex]-\frac{\pi }{4}[/tex]
Answers
Answer:
Option B. is correct.
Step-by-step explanation:
arctan(y) = tan - 1(y) = x+ kπ
for k = {...,-2,-1,0,1,2,...}
➫ e.g tan(45°) = 1
➫ and that would mean the arctangent of 1 is 45 degrees(We represent this in π/? form)
arctan(1) = tan-1(1) = 45° = -π/4
Hope this helps!
Martín y Paulina realizan una inversión en acciones con la misma cantidad de dinero. Martín ganó
$ 8.000 y Paulina perdió $ 6.000; de tal manera que la cantidad que le quedó a Paulina es la tercera
parte de lo que le quedó a Martín.
Determine una expresión algebraica que represente la situación planteada.
Answers
i said right foot creep owww walking with that heat walk walking around stay low make sure that don't see
A
Consider the two functions.
f(x) = 4 +6
g(x) = 4²-6
If g (x) = f(x) + k
what is the value of k?
Answers
Check out the attached photo
How many sophomores do not do homework
Answers
Answer:
25%???
Step-by-step explanation:
A washer and a dryer cost $565 combined. The washer costs $85 less than the dryer. What is the cost of the dryer?
Answers
Idrissa collected pennies in a fundraiser. He measured the mass of all the pennies he collected to be 2,400 grams. Two pennies put together have a mass of 5 grams. How much money did Idrissa raise in this fundraiser?
Answers
Answer: Idrissa collected 240 pennies
Step-by-step explanation:
2400/5=480
Data was collected on salaries of compliance specialists in corporate accounting firms. The salaries ranged from $58,000 to $238,000
If these values are grouped into six class intervals, indicate the class boundaries.
What class interval width was chosen?
What are the six class midpoints?
Answers
The class boundaries are:
1 58000 but less than 88,000
2 88,000 but less than 118,000
3 118,000 but less than 148,000
4 148,000 but less than 178,000
5 178,000 but less than 208,000
6 208,000 but less than 238,000
The class interval width for the distribution that we have here is given as $30000.
The six midpoints and the class boundaries are:
73000103,000133,000163000193000223000How to solve for the class boundary238,000 - 58,000= 180000
180000 / 6 = 30000
Class Boundaries1 58000 but less than 88,000
2 88,000 but less than 118,000
3 118,000 but less than 148,000
4 148,000 but less than 178,000
5 178,000 but less than 208,000
6 208,000 but less than 238,000
What is the class interval width?238,000 - 58,000= 180000
180000 / 6 = 30000
width = 30000
The six class midpoints58000 + 88000 / 2 = 7300088000 + 118000 / 2 = 103,000118000 + 148000 / 2 = 133,000148000 + 178000 / 2 = 163000178000 + 208000 / 2 = 193000208000 + 238000 / 2 = 223000Read more on class intervals here;
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*
A company has learned that by pricing a newly released toy at $7, sales will reach 1500 per day. Raising the price to $9 will cause the sales to fall to 1000 per day. Assume that the
ratio of change in price to change in daily sales is constant and let x be the price of the toy and y be the number of sales
a. Find the linear equation that models the price-sales relationship for this toy. (Hint: The line must pass through (7,1500) and (9,1000)]
b. Use this equation to predict the daily sales of the toy if the price is set at $8.50
a. Find the linear equation that models the price-sales relationship for this toy
(Simplify your answer)
b. Predict the daily sales of the toy if the price is set at $8.50.
toys
Answers
(a) The linear equation that models the price-sales relationship for this toy is y = -250 x + 3250 .
(b) The daily sales of the toy if the price is set at $8.50 will be $1125
Slope for two points is given by m = y₂ -y₁ / x₂ - x₁ where ( x₁, y₁) are the coordinate of first point and (x₂, y₂) are the coordinate of second point.The most common variety of linear equations is in slope-intercept kind, that is pictured as y = mx + b where, m is that the slope of the road, b is that the y-intercept , x and y are the coordinates .An equation may be a statement, that has AN equal sign (=) between the pure mathematics expression. Linear equations are the equations of degree one.
(a) Let "x " be the price of the toy and "y" be the number of sales.
Then equation is given by y = mx + c .......(1)
It is given that ($7, 1500 sales/day) and ($9,1000 sales/day).
Using slope formula , for these two points , we get
m = 1000 - 1500 / 9 -7
= -500 / 2
= -250
Putting x = 7 and y = 1500 and m = -250 in equation (1) , we get
1500 = (-250)(7) + c
1500 = - 1750 +c
c = 3250
Putting c = 3250 and m = -250 in equation (1) , we get
y = -250 x + 3250 ........(2)
(b) Put x = 8.50 in equation (2) , we get
y = -250(8.50) + 3250
= -2125 + 3250
= $ 1125
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3. An arithmetic sequence a begins 11, 7,...
a. Write a recursive definition for this sequence using function notatio
b. Sketch a graph of the first 5 terms of a
Answers
We get the function notation as aₙ = 15 - 4 n for the arithmetic sequence beginning with 11, 7,...
We are given an arithmetic sequence:
11, 7, …
We get from the sequence that:
a = 11 ( initial term )
d = 7 - 11 = - 4 ( common difference )
Now the nth term will be given as:
aₙ = a + (n - 1) d
aₙ = 11 + (n - 1) ( - 4 )
aₙ = 11 - 4 n + 4
aₙ = 15 - 4 n
Third term = 7 - 4 = 3
Fourth term = 3 - 4 = - 1
Fifth term = - 1 - 4 = - 5
Therefore, we get the function notation as aₙ = 15 - 4 n for the arithmetic sequence beginning with 11, 7,...
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Armando’s home insurance has
a $2,500 deductible per incident. This means that he
pays $2,500 and the insurance company will pay all
costs beyond $2,500. If Armando files a claim for
$19,400.
a. how much will he pay?
b. how much will the insurance company pay?
Answers
Answer:
a. Armando pays 2500
b The insurance pays 16900
Step-by-step explanation:
Armando has to pay 2500 always and the insurance company will pay all thats left to pay is what i understand by the question and the total payment both have to do is 19400.
19400
2500 = 16900
You are building a model of a new roller coaster with a scale factor of 1/51. The model is 4ft yall. How tall is the actual roller coaster?
Answers
The actual roller coaster is 204 ft tall.
Given that, the length of the model roller coaster is 4 ft and the scale factor is 1/51.
What is a scale factor?The scale factor is defined as the number or the conversion factor which is used to change the size of a figure without changing its shape. It is used to increase or decrease the size of an object.
Let the length of the actual roller coaster be x.
We know that Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.
Now, 1/51 = 4 / x
⇒x=204 ft
Therefore, the actual roller coaster is 204 ft tall.
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