Assume that y varies directly with x. If y=−4 when x=2, find y when x=−6. Enter in any fractions using a / (e. g. "1/2" is the same as 1^/2).

Hence, The value of y = 12 when x = -6.

Given that , Y varies directly with x .

If y=−4 when x=2,

Find y when x=−6.

According to the question,

This is a direct variation , y = kx

If,

y = −4  when x=2,

y = kx

-4 = 2k

k = -2

To find ;

y when x = −6

y = kx

y = (-2) (-6)

y = 12

Hence, The value of y = 12 when x = -6.

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12

Step-by-step explanation:

This is a direct proportion and we use the formula:

y = kx

If y = −4 when x=2, we need to find the constant of proportionality. This will be:

y = kx

-4 = 2k

k = -4/2

k = -2

To find y when x=−6 guess this:

y = kx

y = -2 × -6

y = 12

the answer is c

step-by-step explanation:

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!