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love history [14]
3 years ago
12

The function h is given by h ( t ) = ( 1 − t ) ( 8 + 16 t ) models the height of a ball in feet, t seconds after it is thrown.

Mathematics
1 answer:
Elena-2011 [213]3 years ago
7 0

9514 1404 393

Answer:

  • zeros: t = 1, t = -1/2
  • no: the domain of the function is t ≥ 0
  • 8 feet

Step-by-step explanation:

The zeros are the values of t that make the factors zero.

  1 -t = 0   ⇒   t = 1

  8 +16t = 0   ⇒   t = -8/16 = -1/2

The equation is used to model height after the ball is thrown. We don't expect it to be a good model before the ball is thrown (t < 0), so the zero in that region is extraneous.

Only the positive zero is in the function's domain, so that is the only one that is meaningful.

__

When t = 0 (at the time the ball is thrown), the function value is ...

  h(0) = (1 -0)(8 +0) = 8

The ball is thrown from a height of 8 feet.

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Pyramid A is a square pyramid with a base side length of 7 inches and a height of 6 inches. Pyramid B has a volume of 3,136 in?.
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Answer:

WE HAVE FIND HOW MUCH MAY TIME BIGGER IS THE VOLUME OF PYRAMID B THAN PYRAMID A.

The answer is 32 times

Step-by-step explanation:

Volume of Pyramid B = 3136 in³

Volume of Pyramid A = ?

We have to find volume of Pyramid A. As Pyramid is a square pyramid, its volume is given as:

V=\frac{(b^2)(h)}{3}

where b = base = 7  and h = height = 6. Substitute the values:

V=\frac{7^2\cdot6}{3}\\V=98\\

Volume of Pyramid A = 98 in³

To find how many time B is bigger than A, divide volume of B by A:

\frac{3136}{98}=32

So, volume of Pyramid B is 32 times bigger than volume of Pyramid A

6 0
3 years ago
You move down 6 units. You end at (10, 4). Where did you start?
Alexandra [31]

Answer:

(10,10)

Step-by-step explanation:

coordinates are (x,y)

x is horizontal(left and right), y is vertical (up and down)

going down 6 means subtracting 6 from the second number

lets reverse that to go up and add 6 back

4+6=10

so the original point was (10,10)

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2 years ago
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