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3 years ago

HELP ME PLZ ASAP 80 POINTS

Mathematics

1 answer:

KiRa [710]3 years ago

5 0

Answer:

Slope:-1/3

y-intercept: (0,2)

x y

0 2

6 0

Hope this helps a little

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Doss [256]

Answer:

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3 years ago

A ball is thrown into the air from a height of 4 feet at time t = 0. The function that models this situation is h(t) = -16t2 + 6

katrin2010 [14]

Answer:

Part a) The height of the ball after 3 seconds is $49\ ft$

Part b) The maximum height is 66 ft

Part c) The ball hit the ground for t=4 sec

Part d) The domain of the function that makes sense is the interval

[0,4]

Step-by-step explanation:

we have

$h(t)=-16t^{2} +63t+4$

Part a) What is the height of the ball after 3 seconds?

For t=3 sec

Substitute in the function and solve for h

$h(3)=-16(3)^{2} +63(3)+4=49\ ft$

Part b) What is the maximum height of the ball? Round to the nearest foot.

we know that

The maximum height of the ball is the vertex of the quadratic equation

Convert the function into a vertex form

$h(t)=-16t^{2} +63t+4$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$h(t)-4=-16t^{2} +63t$

Factor the leading coefficient

$h(t)-4=-16(t^{2} -(63/16)t)$

Complete the square. Remember to balance the equation by adding the same constants to each side

$h(t)-4-16(63/32)^{2}=-16(t^{2} -(63/16)t+(63/32)^{2})$

$h(t)-(67,600/1,024)=-16(t^{2} -(63/16)t+(63/32)^{2})$

Rewrite as perfect squares

$h(t)-(67,600/1,024)=-16(t-(63/32))^{2}$

$h(t)=-16(t-(63/32))^{2}+(67,600/1,024)$

the vertex is the point (1.97,66.02)

therefore

The maximum height is 66 ft

Part c) When will the ball hit the ground?

we know that

The ball hit the ground when h(t)=0 (the x-intercepts of the function)

$h(t)=-16t^{2} +63t+4$

For h(t)=0

$0=-16t^{2} +63t+4$

using a graphing tool

The solution is t=4 sec

see the attached figure

Part d) What domain makes sense for the function?

The domain of the function that makes sense is the interval

[0,4]

All real numbers greater than or equal to 0 seconds and less than or equal to 4 seconds

Remember that the time can not be a negative number

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3 years ago

On his fifth birthday, Pual was 42 inches tall on his seventh birthday he was 48 inches tall.<br> ]

ASHA 777 [7]

Answer:

On his 6th birthday, he was 45 inches tall

Step-by-step explanation:

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3 years ago

tina wants to give away 6 bundles of thyme from her herb garden. if she has 1/2 pound of thyme, how much will each bundle weigh

Musya8 [376]

(1/2)/6 = 1/12

Each bundle will weigh 1/12 pound, about $1 \frac{1}{3}$ ounces.

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3 years ago

This isn't urgent but I need help and I will give Brainliest Promise!

nirvana33 [79]

rate of change as in the gradient??
if yes then the formula would be rise over run, so y over x, therefore 1/3

3 0

3 years ago

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