3 years ago

#1 What is the difference between an expression and an equation?

1 answer:

3 0

An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An equation is made up of two expressions connected by an equal sign.

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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

Find the mean of the integers -21,-34,-37,-52,-52

andriy [413]

Answer: -39.2

Step-by-step explanation:

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3 years ago

Deshaun and his wife are each starting a saving plan. Deshaun will initially set aside $750 and then add $135 every month to the

Bumek [7]

If A=750+135N; and B=485N, then A+B=
750+135N+485N=750+620N
T=620N+750
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3 years ago

Read 2 more answers

154 mi/h = ▪️ in./s I think I did this wrong I got 81,312

Vinil7 [7]

I thin the answer is 8,9785

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3 years ago

PLEASE HELP ME I ONLY HAVE 10 MINS TO FINISH ALL MY ASSIMENTS, WILL GIVE BRAINLIEST AND 15 POINTS

faltersainse [42]

Answer:

8100 square feet

Step-by-step explanation:

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3 years ago