You know this when the two values (x and y) are inversely proportional to each other by their product being constant (always remaining the same). This means when x increases y will decrease.

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8 0

2 years ago

PLEASE HELP

Studentka2010 [4]

Answer:

Step-by-step explanation:

6 0

2 years ago

A point moves along the curve y = √ x in such a way that the y-component of the position of the point is increasing at a rate of

Eduardwww [97]

Answer:

The value of x component changes at a rate of $\frac{dx}{dt}=4\sqrt{x}$ units per second

Step-by-step explanation:

We are given that $y=x^{\frac{1}{2}}$

Differentiating on both sides with respect to time we get

$\frac{dy}{dt}=\frac{d\sqrt{x}}{dt}\\\\\frac{dy}{dt}=\frac{1}{2}x^{\frac{-1}{2}}(\frac{dx}{dt})\\\\\frac{dy}{dt}=\frac{1}{2\sqrt{x}}\frac{dx}{dt}$

It is given that $\frac{dy}{dt}=2units/sec$

Solving for $\frac{dx}{dt}$ we get

$\frac{dx}{dt}=\frac{dy}{dt}\times 2\sqrt{x}\\\\\frac{dx}{dt}=4\sqrt{x}$

5 0

2 years ago

Beth poured the same amount of juice into 10 glasses. She used 2 quarts of juice. How much juice is in each glass?

tia_tia [17]

Answer:

6.4 ounces

Step-by-step explanation:

If you divide 2 quarts by 10 you get 0.2 quarts per glass. That converts to 6.4 ounces.

5 0

2 years ago

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