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kolbaska11 [484]
3 years ago
14

Determine the value of x when y= 14, if y=7 when x=8

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
7 0

Answer:

x=16

Step-by-step explanation:

since y=7 when x=8 and your trying to find what x is when y=14. Your really just taking the y value which is 7 then multiplying it by 2 which is 14. then since you multiplied the first y value by 2 you then just multiply the 8 by 2 and that is 16.

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An item is regularly priced at $94. It is now priced at a discount of 30% off the regular price.
Vedmedyk [2.9K]
30% off an item would make that item valued at 70% of its original price

94 times 0.7 = 65.8

$65.80
4 0
3 years ago
Read 2 more answers
How do you do this question?
ElenaW [278]

x*y' + y = 8x

y' + y/x = 8 .... divide everything by x

dy/dx + y/x = 8

dy/dx + (1/x)*y = 8

We have something in the form

y' + P(x)*y = Q(x)

which is a first order ODE

The integrating factor is u(x) = e^{\int P(x)dx} = e^{\int (1/x) dx} = e^{\ln(x)} = x

Multiply both sides by the integrating factor (x) and we get the following:

dy/dx + (1/x)*y = 8

x*dy/dx + x*(1/x)*y = x*8

x*dy/dx + y = 8x

y + x*dy/dx = 8x

Note the left hand side is the result of using the product rule on xy. We technically didn't need the integrating factor since we already had the original equation in this format, but I wanted to use it anyway (since other ODE problems may not be as simple).

Since (xy)' turns into y + x*dy/dx, and vice versa, this means

y + x*dy/dx = 8x turns into (xy)' = 8x

Integrating both sides with respect to x leads to

xy = 4x^2 + C

y = (4x^2 + C)/x

y = (4x^2)/x + C/x

y = 4x + Cx^(-1)

where C is a constant. In this case, C = -5 leads to a solution

y = 4x - 5x^(-1)

you can check this answer by deriving both sides with respect to x

dy/dx = 4 + 5x^(-2)

Then plugging this along with y = 4x - 5x^(-1) into the ODE given, and you should find it satisfies that equation.

6 0
3 years ago
Find −914+27. Write your answer as a fraction in simplest form.
vfiekz [6]

Answer:

- +=_

914-27=887

887 answer this fraction

5 0
3 years ago
Answer this question for me please cause idk it
Greeley [361]

H=-4.9t^2+25t 0=t(-4.9t+25) T=25÷4.9 T= approx 5.1 which is closes to 5.0  So answer will be 5.0

8 0
2 years ago
Five more than n is equal to 9
dedylja [7]

n+5=9 is the answer for this

4 0
3 years ago
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