3 years ago

Which is a true statement ??MATH HELP

Mathematics

1 answer:

Burka [1]3 years ago

7 0

Second one, and can I have brainelist,please, and thanks

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Amelia launched her science fair rocket, and then backed away. The path of the rocket is given by the equation below, where y is

Mamont248 [21]

Answer:

1)The rocket hit the ground at $x = \frac{5}{4}$

2)The maximum height of the rocket = 12.468 feet

Step-by-step explanation:

Step(i):-

Given equation

y = -2 x² + 5 x + 7 ...(i)

Differentiating equation (i) with respective to 'x' , we get

$\frac{dy}{dx} = -2( 2x) +5(1) = -4x +5$

Equating zero

$\frac{dy}{dx} = 0$

⇒ -4 x +5 =0

⇒ -4 x = -5

⇒ $x = \frac{5}{4}$

The rocket hit the ground at $x = \frac{5}{4}$

Step(ii):-

$\frac{dy}{dx} = -4x +5$ ...(ii)

Again differentiating equation (ii) with respective to 'x' , we get

$\frac{d^{2} y}{dx^{2} } = - 4(1)$

The maximum height at x = $\frac{-5}{4}$

y = -2 x² + 5 x + 7

$y = -2 (\frac{5}{4})^{2} + 5 (\frac{5}{4} ) + 7$

$y = \frac{-2(25)+ 25 (16)+7(64)}{64}$

$y = \frac{798}{64} = 12.468 feet$

The maximum height of the rocket = 12.468 feet

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3 years ago

A bag contains 5 green marbles and 8 blue marbles. A dice is rolled, then a marble is chosen at random from the bag .

kolezko [41]

What is the question?

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3 years ago

Louise measured the perimeter of her rectangular scrapbook to be 156 cm. If the scrapbook is 43 cm wide, how long is the scrapbo

Montano1993 [528]

Answer:

L=35cm

Step-by-step explanation:

Perimeter is 2(L+w)

156cm=2*(43+L)

L=35cm

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3 years ago

What is 87+56-78=?? if u know the answer plz give it to me right k

PilotLPTM [1.2K]

It equals to 65 for the exact answer

4 0

3 years ago

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Evaluate the expression if x = 3 and y = 6. 4x + 3y

mylen [45]

Here, Just substitute their values,
4x + 3y
= 4(3) + 3(6)
= 12 + 18
= 30

In short, Your Answer would be 30

Hope this helps!

3 0

3 years ago

Read 2 more answers