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Alexus [3.1K]
3 years ago
11

Which is the best thing to do as a first step in using substitution to solve the system of equations?

Mathematics
1 answer:
Mnenie [13.5K]3 years ago
3 0
Hey there !

Check the attachment.
Hope it helps you :)

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Todd orders pictures from a photographer. Each picture costs $7.50. A one-time shipping fee of $3.25 is added to the cost of the
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2 years ago
Look at picture <br>y=_<br><br>the height of the baseball after 5 seconds is ___ feet​
Wittaler [7]

Answer:

  • y = -2(x -3)² +24
  • 16 feet

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)

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  a = -2 . . . . . . . . divide by 8

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  b = 22 -a = 22 -(-2) = 24

So, our equation for y is ...

  y = -2(x -3)² +24

__

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.

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