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3 years ago

For number 7 I need an explanation with steps for why is true or false Thank you

Mathematics

1 answer:

BaLLatris [955]3 years ago

3 0

Answer:

Part 1) The statement is false

Part 2) The statement is false

Part 3) The statement is true

Step-by-step explanation:

Let

h(t)-----> the height of an object launched to the air

t ----> the time in seconds after the object is launched

we have

$h(t)=-16t^{2} +72t$

<em>Verify each statement</em>

case 1) The factored form of the equation is h(t)=-16(t-4.5)

The statement is false

Because

The factored form is equal to

$h(t)=-16t(t-4.5)$

case 2) The object will hit the ground at t=72 seconds

The statement is false

Because

we know that

The object will hit the ground when h(t)=0

substitute in the equation and solve for t

$0=-16t(t-4.5)$

$(t-4.5)=0$

$t=4.5\ sec$

case 3) The t-value for the maximum of the function is 2.25

The statement is true

Because

Convert the quadratic equation in vertex form

$h(t)=-16t^{2} +72t$

$h(t)=-16(t^{2} -4.5t)$

$h(t)-81=-16(t^{2} -4.5t+2.25^{2})$

$h(t)-81=-16(t-2.25)^{2}$

$h(t)=-16(t-2.25)^{2}+81$ ---> quadratic equation in vertex form

The vertex is a maximum

The vertex is the point (2.25,81)

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4 years ago

Gina's curtain company is making curtains for a local hotel. She wants each curtain to be 36 inches long. At the fabric store, f

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Answer:

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Step-by-step explanation:

Gina's curtain company is making curtains for a local hotel. She wants each curtain to be 36 inches long. At the fabric store, fabric is sold by the foot.

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3 years ago

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Answer:

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Step-by-step explanation:

Population density is found by dividing the population by the area of the state.

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The second statement had the method backward for Oregon, so it is not correct.

The third statement is that the population density for Hawaii is larger than the one for Florida; this is not true, as Hawaii's is 216.77 and Florida's is 358.22.

The fourth statement is that the state with the smallest population density is Oregon; this is not true, since Montana's is 6.91 and Oregon's is 40.62. Montana's is the smallest, so the last statement is true.

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4 years ago

Read 2 more answers