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kotegsom [21]
3 years ago
5

The function h(t) = –16t^2 + 16t + 32 models the height of a ball t seconds after it was thrown into the air. How long does it t

ake for the ball to hit the ground?
Mathematics
1 answer:
storchak [24]3 years ago
4 0
When the ball hits the ground, h will be 0 so set up the equation
-16t^2+16t+32=0
divide all by -16 to simply the equation
t^2-t-2=0
(t-2)(t+1)=0
t=2 t=-1
you can’t have -1 second
so the answer is it takes 2 seconds for the ball to hit the ground
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Answer:

we conclude that the function is one-to-one.

Step-by-step explanation:

A function will a one-to-one function if it

  • passes the vertical line test to make sure it is indeed a function, and
  • also a horizontal line test to make sure it is it one-to-one.

In other words,

The function will be one-to-one if it passes the vertical line test, and also if the horizontal line only cuts the graph of the function in one place.

The reason is that there must be only one x-value for each y-value.

Given the function

h\left(x\right)\:=\:x^3\:+\:7

Have a look at the attached graph.

  • The red portion represents the graph of the function h\left(x\right)\:=\:x^3\:+\:7.
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  • The blue line represents the graph of y=9, which is basically a horizontal line test. Horizontal line indicates that it cuts the cuts the graph of the function in one place. So it is clear that h\left(x\right)\:=\:x^3\:+\:7 is a one-to-one function, as there is only one x-value for each y-value.

Therefore, we conclude that the function is one-to-one.

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The circumference of the smaller circle is 30% of the circumference of the larger circle. Find the circumference of the larger c
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The circumference of the larger circle is 94.2 inches.

Step-by-step explanation:

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Sarah.
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