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zmey [24]
3 years ago
15

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]3 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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Find he measure of Angle A
Yuliya22 [10]

Answer:

25

Step-by-step explanation:

I'm not really sure if this correct its just a guess but here goes.

So as 26x+5 is a vertically opposite angle. So the top angle would be 25x+5.

then we know angles in a triangle add up to 180 degrees so we would add all the angles together. 26x+5+6x-5+20=180. 26x+6x=32x. -5+5=0. 32x+20=180

180-20=160

140/32=5

6×5=30

30-5=25 so angle A is 25?

Please let me know if this is correct and if its not I'm sorry.

4 0
2 years ago
Houa has an action figure collection. She keeps some in a display case and the rest on the wall. 82 of her action figures are on
Law Incorporation [45]

Answer:

u just 82 + 59% = 130.38

Step-by-step explanation:

8 0
3 years ago
Which equation results from taking the square root of both sides of (x 9)2 = 25? x 3 = ±5 x 3 = ±25 x 9 = ±5 x 9 = ±25.
kow [346]

The equation which is results from taking the square root of both sides of the provided equation is,

(x+9)=\pm5\\

<h3>What is the square root?</h3>

A square root of a number is the value which is when multiplicand by itself gives the same value as the number posses.

Let a number is <em>a. </em>Then this number in the form of square root can be written as,

a=\sqrt{a}\times \sqrt{a}

The given algebraic equation in the problem is,

(x+ 9)^2 = 25

Take the square root, in both sides,

\sqrt{(x+ 9)^2} = \sqrt{25}\\\sqrt{(x+ 9)^2} = \sqrt{5^2}

Cancel out the square root with the square of the number as,

(x+9)=\pm5\\

Hence, the equation which is results from taking the square root of both sides of the provided equation is,

(x+9)=\pm5\\

Learn more about the square root of number here;

brainly.com/question/664132

7 0
2 years ago
Plz help due 2morrow 14 and 15
lions [1.4K]

Answer:

14 length of the side is 3x-7

and 15 length of side is 2x+6

6 0
3 years ago
Please help on number 3 part 1 and part 2 pretty please thanks
Goryan [66]
For the first part you need to find 85% of 16,000. its 13,600. you get this by multiplying .85 by 16,000.

for part two, i don't know how to show the work, but 816 is 96% of 850.

sorry about that, but i hope it helps
7 0
3 years ago
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