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3 years ago

Simplify and write without negative exponents

Mathematics

1 answer:

Inessa05 [86]3 years ago

4 0

$\bf \left( \cfrac{3x^{\frac{3}{2}}y^3}{x^2y^{-\frac{1}{2}}} \right)^{-2}\implies \left( \cfrac{3y^3y^{\frac{1}{2}}}{x^2x^{-\frac{3}{2}}} \right)^{-2}\implies 
\left( \cfrac{3y^{3+\frac{1}{2}}}{x^{2-\frac{3}{2}}} \right)^{-2}\implies \left( \cfrac{3y^{\frac{7}{2}}}{x^{\frac{1}{2}}} \right)^{-2}
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\left( \cfrac{x^{\frac{1}{2}}}{3y^{\frac{7}{2}}} \right)^{+2}\implies \cfrac{x^{\frac{1}{2}\cdot 2}}{3^2y^{\frac{7}{2}\cdot 2}}\implies \cfrac{x^1}{9y^7}\implies \cfrac{x}{9y^7}$

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Answer:

Emily: 13, Peter: 9, Joshua: 18

Step-by-step explanation:

Emily = x

Peter = Emily - 4 = x - 4

Joshua = 2(Peter) = 2(x - 4)

Total = 40 = Emily + Peter + Joshua = (x) + (x - 4) + 2(x - 4)

40 = 2x - 4 + 2x -8

40 = 4x - 4 - 8

40 = 4x - 12

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MAVERICK [17]

Answer:

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2. 6.25 feet

3. 1 feet

4. 6 feet

Step-by-step explanation:

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1. The diving board is where Kendra dives off. Here, the horizontal distance, x from the diving board is 0.

So, substituting x = 0 in the equation, we get

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So, the diving board is 6 feet above the surface of the water.

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It is the minimum height which represents the depth Kendra dives into the water.

So the $x$ coordinate of the vertex is = $\frac{-b}{2a}$

Here, a and b are the coefficients of linear term and the quadratic terms in the equation. Therefore,

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Now substituting to find f(x),

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The first x intercept represents the points where Kendra dives into the water.

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