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Fiesta28 [93]
3 years ago
8

If y varies inversely as the square of x, and y = 1/8 when x = 1, find y when x = 5.

Mathematics
1 answer:
Kisachek [45]3 years ago
6 0
Y = k / x² ( y varies inversely as the square of x ) 
y = 1/8 when x = 1:
1/8 = k / 1²
8 k = 1
k = 1/8
For x = 5:
y = 1/8  / 5² = 1/8 : 25 = 1/8 · 1/25 = 1/200
Answer: A ) 1/200


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What are the solutions of the quadratic equation 0 = 4(x - 3)2 - 16?
erastovalidia [21]

Answer:

 x = 5, x = 1

Step-by-step explanation:

The quadratic equation 0 = 4(x - 3)2 - 16.

Using binomial theorem, (a - b)2 = a2 - 2ab + b2 to expand (x - 3)2.

0 = 4(x2 - 6x + 9 ) - 16.

Using distributive property to multiply 4 by x2 - 6x + 9.

0 = 4x2 - 24x + 36 - 16.

Subtract 16 from 36 to get 20.

0 = 4x2 - 24x + 20.

4x2 - 24x + 20 = 0.

Divide both sides by 4.

x2 - 6x + 5 = 0.

To solve the equation, factor and rewrite as x2 + ax + bx + 5

a + b = -6, ab = 1(5) = 5.

a = -5, b = -1.

Rewriting x2 - 6x + 5 as

(x2 - 5x) + (-x + 5)

Factor x in the first and -1 in the second group.

x(x - 5) - (x - 5)

Factor out common term

(x - 5)(x - 1)

By solving the above, we get

x = 5, x = 1

8 0
2 years ago
Anyone good at explaining surface area and volume in 9th grade geometry ?
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4 0
3 years ago
-2m=7<br> whats the solution as a decimal
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3 years ago
Maria cut a pizza into 8 equal pieces she put each slice on 3 plates what is the measure of the angle for the slices that are le
spayn [35]
A circle has a total number of 360 degrees, so you would divide 360 by 8, and that would tell you how many degrees each slice is:
360 / 8 = 40
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which you would then multiply by 40 because each slice is 40 degrees, so you would get an answer of
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7 0
3 years ago
When the price is $ 40 per radio, a producer will supply 90 radios each month for sale. For each $4 increase in price the produc
SVEN [57.7K]

Price for a radio = $ 40 for supply 90 radios in a month.

Ratio of increase in price to the number of radios supplies in a month 4:8 that is 1:2.

New unit price given  = $76.

Difference in unit price given in starting and New unit price = 76-40=$36

So, increase in unit price = $36.

Let us assume number of supplied increased  = x radios for increase in unit price $36.

So, we can setup a perportion as,

1/2 = 36/x.

On cross multiplication, we get

1*x = 2*36

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So, 72 is the increased number of radios in 90 radios.

That is 72+90 = 162 radios each month.

Therefore, 162 radios are supplied if their per unit price is $76.

5 0
3 years ago
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