Answer: d
Step-by-step explanation:
Using the linear equation y=mx+b, you are given m (the slope) and b (the y-intercept). m=2 and b=-8. Therefore, y=2x-8
Since there is a $5 delivery charge, Valerie will surely spend those money.
Also, since a salad costs $7, and Valerie buys 3 of them, she will spend 21 more dollars.
So, salads and delivery charge sum up to 
This means that Valerie has
dollars left. A drink costs $3, so she can buy
drinks.
Answer:
20 minutes
Step-by-step explanation:
x is 0 in the graph and y is 20
so 20 is your answer if 0 is x
Answer:
Step-by-step explanation:
We expect the equation for y to be quadratic. Since the table is obviously symmetrical about x=3, we can start with the vertex form ...
y = a(x -3)² +b
Filling in the values from the first two table points, we get
For (x, y) = (0, 6):
6 = a(0 -3)² + b ⇒ 9a +b = 6
For (x, y) = (2, 22):
22 = a(2-3)² +b ⇒ a +b = 22
Subtracting the second equation from the first gives ...
(9a +b) -(a +b) = (6) -(22)
8a = -16 . . . . . . collect terms
a = -2 . . . . . . . . divide by 8
The second equation above tells us ...
b = 22 -a = 22 -(-2) = 24
So, our equation for y is ...
y = -2(x -3)² +24
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The value of y for x=5 is ...
y = -2(5 -3)² +24 = 16
The height of the ball after 5 seconds is 16 feet.
Answer:
Step-by-step explanation:
Factor top and bottom.
The numerator is a difference of two squares, and the denominator is a quadratic.
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If x does not equal -1 and does not equal 4, we can cancel the common factors in italics to give
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