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Olin [163]
3 years ago
7

If y varies inversely with the square of x, and y=6 when x=4, find y when x=0.1

Mathematics
1 answer:
sergejj [24]3 years ago
8 0

Answer:

9600

Step-by-step explanation:

y varies inversely with the square of x

y=k/(x^2)

for some non-zero constant k

y=6 when x=4

6=k/(4^2)

k=96

y=96/(x^2)

x=0.1

y=96/(0.1^2)

y=9600

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set equations equal

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Justin’s baby brother weighs 10 pounds. How much does Justin’s baby brother weigh in kilograms?
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What is the average rate of change of the function on the interval from x = 0 to x = 5?
crimeas [40]

Answer:

Average rate of change =\frac{1}{8}

Step-by-step explanation:

Given interval are from x=0\ to\ x=5

Also,=\frac{1}{2^3}x=\frac{1}{8}x

Average rate of change=\frac{f(b)-f(a)}{b-a}\ for\ given\ interval\ [a,b]

Here given intervals are a=0\ and\ b=5

Plugging these value in formula, we get.

Average rate of change=\frac{\frac{1}{8}(5)-\frac{1}{8}(0)}{5-0}\\\\=\frac{\frac{1}{8}(5)-0}{5-0}\\ \\=\frac{\frac{1}{8}(5)}{5}\\\\=\frac{1}{8}

4 0
3 years ago
15. What polynomial must be added to .x^2-2x+ 6 so that<br> the sum is 3x^2+ 7x ?
jeyben [28]

Answer:

2x^2+9x-6

Step-by-step explanation:

Just subtract the two because x + y = z and z-x = y

3x^2+7x-(x^2-2x+6) = 3x^2+7x-x^2+2x-6\\\\=2x^2+9x-6

You can test this by adding this expression back to the original.

x^2-2x+6+(2x^2+9x-6) = 3x^2+7x

8 0
3 years ago
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