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vagabundo [1.1K]
2 years ago
7

Jonathan makes a weekly allowance of $25. He also makes $9.50 an hour at his job. Because of his age, he can work no more than 2

0 hours a week.
a) Write a function for the amount of money he makes each week based on the amount of hours, h, he works.
b) What is the domain of the function for this situation?
c) Sketch the graph of the function over the domain you chose.
Mathematics
1 answer:
Molodets [167]2 years ago
7 0
C. Normally when you are talking about money and how much he makes an hour plus allowance they want you to draw a graph so C is your answer.
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Answer:

Coordinates of Q (x_2,y_2) \:are\: \mathbf{(7,16)}

Option D is correct option.

Step-by-step explanation:

We are given:

K is the midpoint of PQ

Coordinates of P = (-9,-4)

Coordinates of K = (-1,6)

We need to find coordinates of Q  (x_2,y_2)

We will use the formula of midpoint: Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

We are given midpoint K and x_1,y_1 the coordinates of P we need to find x_2,y_2 the coordinates of Q.

Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\\(-1,6)=(\frac{-9+x_2}{2},\frac{-4+y_2}{2})\\

Now, we can write

-1=\frac{-9+x_2}{2}, 6=\frac{-4+y_2}{2}\\Simplifying:\\-2=-9+x_2\:,\: 12=-4+y_2\\-2+9=x_2\:,\: 12+4=+y_2\\x_2=7\:,\:y_2=16

So, we get coordinates of Q (x_2,y_2) \:are\: \mathbf{(7,16)}

Option D is correct option.

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3 years ago
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