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3 years ago

If y varies inversely as x, and y = 4 as x = 8, find y for the x-value of 2.

Mathematics

2 answers:

alexira [117]3 years ago

8 0

y = k/x

We want to find k first.

4 = k/8

4(8) = (k/8)(8)

32 = k

We now need to find y knowing that k = 32 and x = 2.

y = k/x

y = 32/2

y = 16

Did you follow?

cricket20 [7]3 years ago

6 0

Answer:

Step-by-step explanation:

Inverse variation follows this equation:

y = k/x

We know one point, so we input x and y, and solve for k.

4 = k/8

k = 32

The inverse variation equation is

y = 32/x

Now we let x = 2, and use our equation to find y.

y = 32/2

y = 16

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Answer:

a.P.I= $\frac{e^{3x}}{11}+\frac{1}{2}(x^3-3x)$

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We are given that a linear differential equation

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P.I= $\frac{e^{3x}}{3^2+2}+\frac{1}{2} x^3(1+\frac{D^2}{2})^{-2}$

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3 0

3 years ago

Thirty-two cyclists make a seven-day trip. Each cyclist requires 8.33 kilograms of food for the entire trip. If each cyclist wan

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Answer:

76.16 kilograms of food

Step-by-step explanation:

Number of cyclist = 32

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Days of the trip = 7 days

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how many kilograms of food will the group be carrying at the end of Day 5?

5 days out of 7 days = 2 days

Each cyclist will have to carry = 2 × 1.19 kg of food for the remaining two days

= 2 × 1.19

= 2.38 kilograms of food for two days

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The group will be carrying 76.16 kilograms of food at the end of Day 5

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