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4 years ago

H(x)=1/8x^3-x^2 Over which interval does h have a positive average rate of change?

Mathematics

1 answer:

lara31 [8.8K]4 years ago

6 0

Answer:

$(-\infty,0)\cup(\frac{16}{3},\infty)\\That \ is x\frac{16}{3}$

Step-by-step explanation:

$h(x)=\frac{1}{8}x^{3} -x^{2} \\\\Differentiate \ h(x) \ with \ respect \ to \ x\\h'(x)=\frac{3}{8}x^{2} -2x$

For positive rate of change $h'(x)>0$

$\frac{3}{8} x^{2} -2x>0\\x(\frac{3}{8}x-2)>0\\\\ When \ x0 \ (multiplication \ of \ two \ positives \ is \ positive)\\\\h'(x)>0 \ when \ x\frac{16}{3} \\\\$

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Charlie owns many different types of jeans 12 pairs of jeans are dark denim jeans 5 are black 4 are white what is the percent of

kaheart [24]

Answer:

57.14% of Charlie's jeans are denim.

Step-by-step explanation:

Charlie has 12 + 5 + 4 = 21 pairs of jeans total.

12 of those jeans are denim jeans.

So to get a fraction, we put the denim over the total:

12/21 = .5714 on the calculator.

To change this to a percentage, we move the decimal back two places.

.5714 -> 57.14% of Charlie's jeans are denim.

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4 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

Joy needed 4/5 pint of milk for a recipe. Her friend asha said she should use 2/5 cup of milk. Joy said she should use 1 3/5 cip

Mumz [18]

Answer:

Joy is correct

Step-by-step explanation:

we know that

1 cup=1/2 pint

step 1

Convert pint to cups

Divide 4/5 pint by 1/2 to convert to cups

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step 2

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Joy is correct

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4 years ago

What is the length of side angle AB of parrellelogram ABCD ?

zavuch27 [327]

$\boxed{x=4cm}$

<h2>Explanation:</h2>

A parallelogram is a quadrilateral that has two pair of opposite sides and each pair measure the same. In order to illustrate this problem, see the figure below. Here we know some facts: