Y varies inversely with x if y = 7 when x =-4, find y when x = 5

Mathematics

1 answer:

marysya [2.9K]2 years ago

3 0

Answer:

y = - $\frac{28}{5}$

Step-by-step explanation:

Given y varies inversely with x then the equation relating them is

y = $\frac{k}{x}$ ← k is the constant of variation

To find k use the condition y = 7 when x = - 4, then

7 = $\frac{k}{-4}$ ( multiply both sides by - 4 )

- 28 = k

y = $\frac{-28}{x}$ ← equation of variation

When x = 5 , then

y = $\frac{-28}{5}$ = - $\frac{28}{5}$

You might be interested in

Which technique is most appropriate to use to solve each equation? Drag the name of the technique into the box to match each equ

NemiM [27]

For the first equation, the answer is C) completing the square.
For the second equation, the answer is B) zero product property.

For the first equation, we can easily complete the square by finding half of b and squaring it; then we can take the square root of both sides and solve the equation.

For the second equation, since it is already factored, we use the zero product property to solve it.

7 0

3 years ago

Leonardo da vinci took out A simple interest loan at 12.75% interest for 12 months. His previous balance is % 942.36. What is hi

makkiz [27]

Answer:

A = 2,384.1708

Step-by-step explanation:

A = P(1 + rt)

P = 942.36

r = 12.75%

t = 12 months

A = 942.36(1 + 12.75/100(12))