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alina1380 [7]
3 years ago
15

What is the image of (8,1) after a reflection over the y-axis

Mathematics
1 answer:
AysviL [449]3 years ago
7 0

Answer: -8, 1

Step-by-step explanation: on the y axis you go to where the side is opposite so in this case 8,1 in on the right do u go to the left of the y axis and the is a negative x axis and positive y so u get -8,1

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A baseball is thrown with an upward velocity of 32 feet per second. The equation h=-16t^2+32t gives the height of the ball t sec
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Answer:

The function of height has a maximum value.

Step-by-step explanation:

Maximum or Minimum:

A given function f(x).

  1. Find out f'(x) and f''(x)
  2. Then set f'(x)=0 which gives x=a.
  3. f''(a) > 0 , then at x=a , f(x) has minimum value.
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Given that, a baseball is thrown with with an velocity of 32 feet per second.

The equation of height is

h=-16t^2+32t

Differentiating with respect to t

h'=-32 t+32

Again differentiating with respect to t

h''=-32

Next, we set h'=0

-32 t+32=0

\Rightarrow 32t=32

\Rightarrow t=1

Now h''|_{t=1}=-32

Since at t=1, h''<0.

The function of height has a maximum value.

The maximum of h is = -16.(1)²+32

                                     = -16+32

                                     =16 feet

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