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Mathematics

1 answer:

Gekata [30.6K]3 years ago

6 0

c.
greater than and less than signs have dotted lines.
greater than or equal to and less than or equal to have solid lines.

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

lara31 [8.8K]

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 $h'(x)>0$

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

6 0

3 years ago

What is the median of this set of data: 593, 588, 540, 434, 420, 398, 390, 375

Anna [14]

C. 427

The median is the middle number of all the data

Since there is an even number of data points the median is in between the middle two data points (434 and 420)

To find this: 434-420=14
14/2=7
434-7=427
420+7=427

8 0

3 years ago

Place is highest to lowest 3/4 84% 1/3 0.82

sesenic [268]

ANSWER

84%,0.82,¾,⅓

EXPLANATION

Convert everything to decimals.

$\frac{3}{4} = 0.75$