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ZanzabumX [31]
3 years ago
15

The local skating rink pays Mary a fixed rate per pupil plus a base amount to work as a skating instructor. She earns $90 for

Mathematics
1 answer:
baherus [9]3 years ago
5 0

Answer:The expressions for the payment made to Mary are,

        (Monday)      90 = 15m + b

        (Tuesday)     62 = 8m + b

where m and b are the fee per student and the base fee, respectively. Solving for m and b, the values are 4 and 30.

The equation that represents Mary's earning is

                                   y = 4x + 30

For 20 students,

                                   y = 4(20) + 30 = 110

For Lisa's earnings,

                                    y = 8x + 15

Substituting 20,

                                   y  =8(20) + 15 = 175

Thus, Lisa would earn more than Mary by $65.

Read more on Brainly.com - brainly.com/question/1560980#readmore

Step-by-step explanation:

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Mashcka [7]

Answer:

C. The vertical distance of a roller coaster from the ground changes with respect to its horizontal distance from the beginning of the ride.

Step-by-step explanation:

See how the graph is in a "U" shape? That tells us that it first decreases and then goes back up at some point.

The way you would find this answer is to go through each scenario (A, B, C, and D) and think about which thing would make sense to go down and then up.

5 0
3 years ago
Find (f/g) (x) for the functions provided: ƒ(x) = x3 − 27, g(x) = 3x − 9
AnnZ [28]

Answer:

(\frac{f}{g})(x)=\frac{1}{3}(x^2+3x+9)

Step-by-step explanation:

We have been given that

f(x)=x^3-27,g(x)=3x-9

We can use the formula for difference of cubes to simplify the function f(x)

difference of cubes -  a^3-b^3=(a-b)(a^2+ab+b^2)

f(x)=x^3-27\\\\=x^3-3^3\\\\=(x-3)(x^2+3x+9)

And g(x) can be written as

g(x)=3x-9\\=3(x-3)

Thus, we have

(\frac{f}{g})(x)=\frac{(x-3)(x^2+3x+9)}{3(x-3}

On cancelling the common factors, we get

(\frac{f}{g})(x)=\frac{1}{3}(x^2+3x+9)

5 0
3 years ago
Solve |p + 2|= 10<br> (-12)<br> {-8. 8)<br> {-12, 8)
Firdavs [7]

Answer:

i belive p= 8

Step-by-step explanation:

10-2= 8

8+2 is 10 so p +2 woyld =10

3 0
3 years ago
Brenda considers geometric figures and concepts that are related to lines. Which terms are considered undefined?
Umnica [9.8K]

Answer:

A, C, F

Step-by-step explanation:

4 0
4 years ago
Solve 3(x-5)-4(x+3)=​
Wittaler [7]

3(x-5)-4(x+3)

Multiply the first bracket by 3

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(3)(-5)=-15

(-4)(x)=-4x

(-4)(3)=-12

3x-15-4x-12

3x-4x-15-12 ( combine like terms)

Answer: -x-27

5 0
3 years ago
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