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Marizza181 [45]

4 years ago

7

Jean put 1/8 cup of yogurt on top of each bowl of fruit she made she made 10 bowls of fruit written expression that shows the am

ount and cups of yogurt that Jean put on all 10 bowls of fruit?

2 answers:

musickatia [10]4 years ago

8 0

1/8×10/1=10/8

10/8 simplified is 1 2/8
1 2/8 simplified is 1 1/4

hope this helped

Neko [114]4 years ago

6 0

$\frac{10}{8}$ = 1 $\frac{2}{8}$ = 1 $\frac{1}{4}$

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2 years ago

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:

<u><em>Step(i):-</em></u>

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

⇒ $x = \frac{5}{4}$

<em> The rocket hit the ground at </em> $x = \frac{5}{4}$ <em></em>

<u><em>Step(ii):</em></u>-

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

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

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

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

<em>The maximum height of the rocket = 12.468 feet</em>

4 0

3 years ago