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3 years ago

I need help please.

Mathematics

1 answer:

timama [110]3 years ago

8 0

Answer:

Step-by-step explanation:

transform the expression

simplify the expression

transform the expression

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Simplify the following expression to an answer with only positive exponents.

yulyashka [42]

Answer:

The correct answer is (edit: b).

Step-by-step explanation:

$\frac{(2x^5y^7)(-5x^4z^{-5})}{y^{12}z^6}\\\\\frac{-10x^9y^7z^{-5}}{y^{12}z^6}\\\\\frac{-10x^9}{y^5z^{11}}$

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A parallel line must have the same slope. The only one it can be is A

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a motorcycle cost $12,000 when it was purchased. the value of a motorcycle decreases by 6% each year. find the rate of decay eac

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There's 12 months in a year so if the value decreases by 6% each year that would be 6 ÷ 12 which is 0.5%. Therefore the decay each month is -0.5%.

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3 years ago

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riadik2000 [5.3K]

Answer:

Step-by-step explanation:

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3 years ago

Read 2 more answers

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