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.
The amount of drinks is a linear function of the number of drinks. The maximum amount that can be purchased is 100 soft drinks.
Let
amount of drinks
number of drinks
For drinks not more than 50

For drinks more than 50.

For a purchase of $85, it means that:

So, we solve for x in both equations.


Collect like terms


Divide through by 0.8

--- approximated


Collect like terms


Divide by 0.7

By comparing both values:



Hence, the maximum amount that can be purchased is 100
Read more about functions at:
brainly.com/question/20286983
Answer:
the answer is c.840
Step-by-step explanation:
you multiply 15 4 times and multiply it with 14 that would give us 840
This would be 5^2 because you have to subtract the exponents.