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ipn [44]
3 years ago
14

At the beginning of the summer, Paul has $76. During the summer, he earns money by mowing lawns. The table shows the total amoun

t of money Paul has after mowing the given number of lawns.
Number of lawns mowed Total amount of money ($)
0 76
2 100
4 124
6 148


Select from the drop-down menus to make an equation in slope-intercept form that gives the total amount of money, y, Paul has after mowing x lawns.
Mathematics
1 answer:
san4es73 [151]3 years ago
3 0
y<span> = 12x+76 is the answer to your question i know it was a little late but at least other people who would like to know can see it.</span>
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What does the equation inverse of the function found in part b represent in the contract of the problem ? explain your answer .
gavmur [86]

Answer:

f^{-1}(x) =\frac{x}{3} - 5

The inverse function is to calculate the number of rides; given the amount paid

Step-by-step explanation:

Given

Admission = 15

Ride = 3 per ride

Required

Explain the inverse function

First, we calculate the function

Let x represents the number of rides

So:

f(x) = Admission + Ride * x

f(x) = 15 + 3 * x

f(x) = 15 + 3x

For the inverse function, we have:

y = 15 + 3x

Swap x and y

x = 15 + 3y

Make 3y the subject

3y = x - 15

Make y the subject

y =\frac{x}{3} - 5

Replace y with the inverse function

f^{-1}(x) =\frac{x}{3} - 5

The above is to calculate the number of rides; given the amount paid

5 0
3 years ago
A $3000 loan has an annual interest rate of 6.6% on the amount borrowed. How much time has elapsed if the interest is now $1386?
san4es73 [151]

Answer:

7

Step-by-step explanation:

time=<u>interest</u>

           P*R

time=<u>1386*</u>100

   6.6 * 3000

<u>time=7</u>

7 0
2 years ago
A cylinder has a radius of 10 inchunits s and a height of 6 inches. About what is it’s volume in cubic inches? Use 3.14
kotykmax [81]

Given: A cylinder with radius = 10 inches and height = 6 inches.

We have to determine the volume of the cylinder.

Volume of a cylinder with radius 'r' and height 'h' is given by the formula \pi r^2 h

Substituting the value of 'r' and 'h', we get

Volume = 3.14 \times (10)^2 \times 6

Volume = 314 \times 6

Volume = 1884 cubic inches.

Therefore, the volume of the cylinder is 1884 cubic inches.

4 0
3 years ago
How do you simplify -3 1/2- -12 1/4
astraxan [27]

To make the problem simpler, turn it to an improper fraction.

-7/2--49/48

-7/2+49/48

They have to have same dnominator to add.

-168/48+49/48

-119/48

8 0
3 years ago
(4x^2y^3+2xy^2-2y)-(-7x^2y^3+6xy^2-2y)
Rasek [7]

Answer:

x y^2 (11 x y - 4)

Step-by-step explanation:

Simplify the following:

4 x^2 y^3 + 2 x y^2 - 2 y - (-7 x^2 y^3 + 6 x y^2 - 2 y)

Factor y out of -7 x^2 y^3 + 6 x y^2 - 2 y:

4 x^2 y^3 + 2 x y^2 - 2 y - y (-7 x^2 y^2 + 6 x y - 2)

-y (-2 + 6 x y - 7 x^2 y^2) = 2 y - 6 x y^2 + 7 x^2 y^3:

4 x^2 y^3 + 2 x y^2 - 2 y + 2 y - 6 x y^2 + 7 x^2 y^3

Grouping like terms, 4 x^2 y^3 + 2 x y^2 - 2 y + 2 y - 6 x y^2 + 7 x^2 y^3 = (4 x^2 y^3 + 7 x^2 y^3) + (2 x y^2 - 6 x y^2) + (2 y - 2 y):

(4 x^2 y^3 + 7 x^2 y^3) + (2 x y^2 - 6 x y^2) + (2 y - 2 y)

x^2 y^3 4 + x^2 y^3 7 = 11 x^2 y^3:

11 x^2 y^3 + (2 x y^2 - 6 x y^2) + (2 y - 2 y)

x y^2 2 + x y^2 (-6) = -4 x y^2:

11 x^2 y^3 + -4 x y^2 + (2 y - 2 y)

2 y - 2 y = 0:

11 x^2 y^3 - 4 x y^2

Factor x y^2 out of 11 x^2 y^3 - 4 x y^2:

Answer:  x y^2 (11 x y - 4)

7 0
3 years ago
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