$\bf y=\cfrac{2x^2-10x}{\sqrt{x}}\implies y=\cfrac{2x^2-10x}{x^{\frac{1}{2}}} \\\\\\ \cfrac{dy}{dx}=\stackrel{\textit{quotient rule}}{\cfrac{(4x-10)(\sqrt{x})~~-~~(2x^2-10x)\left( \frac{1}{2}x^{-\frac{1}{2}} \right)}{\left( x^{\frac{1}{2}} \right)^2}} \\\\\\ \cfrac{dy}{dx}=\cfrac{(4x-10)(\sqrt{x})~~-~~(2x^2-10x)\left( \frac{1}{2\sqrt{x}} \right)}{\left( x^{\frac{1}{2}} \right)^2} \\\\\\ \cfrac{dy}{dx}=\cfrac{(4x-10)(\sqrt{x})~~-~~\left( \frac{2x^2-10x}{2\sqrt{x}} \right)}{x}$

$\bf\cfrac{dy}{dx}=\cfrac{(4x-10)(\sqrt{x})~~-~~\left( \frac{2x^2-10x}{2\sqrt{x}} \right)}{x} \\\\\\ \cfrac{dy}{dx}=\cfrac{ \frac{(4x-10)(\sqrt{x})(2\sqrt{x})~~-~~(2x^2-10x)}{2\sqrt{x}}}{x} \\\\\\ \cfrac{dy}{dx}=\cfrac{(4x-10)(\sqrt{x})(2\sqrt{x})~~-~~(2x^2-10x)}{2x\sqrt{x}}$

$\bf \cfrac{dy}{dx}=\cfrac{(4x-10)2x~~-~~(2x^2-10x)}{2x\sqrt{x}}\implies \cfrac{dy}{dx}=\cfrac{8x^2-20x~~-~~(2x^2-10x)}{2x\sqrt{x}} \\\\\\ \cfrac{dy}{dx}=\cfrac{8x^2-20x~~-~~2x^2+10x}{2x\sqrt{x}} \implies \cfrac{dy}{dx}=\cfrac{6x^2-10x}{2x\sqrt{x}} \\\\\\ \cfrac{dy}{dx}=\cfrac{2x(3x-5)}{2x\sqrt{x}}\implies \cfrac{dy}{dx}=\cfrac{3x-5}{\sqrt{x}}$

8 0

2 years ago

The football coach bought enough sports mix to make 60 L of a sports drink.

Ilya [14]

the coach makes a total volume of 60 L of a sports drink

we have to find the number of cups he can fill with the drink

1 cup is equivalent to 0.5 pints

so we have to first convert L to pints

1 L = 2.11 pt

then 60 L = 126.6 pt

the volume of sports drink made is 126.6 pt

so 0.5 pt make - 1 cup

then 126.6 pt make - 1 / 0.5 x 126.6 = 253.2 cups

he can make 253 full cups and 0.2 of a cup

answer is 253.2 cups

4 0

2 years ago

Read 2 more answers

MATH PLEASE HELP MAD POINTS

Zinaida [17]

All the points should be plotted when doing a scatter plot. This way you will know if there is an outlier, etc.

So the answer is 6

3 0

2 years ago

What dose data set mean

ipn [44]

By definition it means, <span>a collection of related sets of information that is composed of separate elements but can be manipulated as a unit by a computer. Basically it's all the numbers.

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3 0

2 years ago