Math

QuestionFind yy for x=2x=-2 in the equation y=3x34y=3x^{3}-4.

Studdy Solution

STEP 1

Assumptions1. The equation is y=3x34y=3 x^{3}-4 . We are asked to find the value of yy when x=x=-

STEP 2

We need to substitute x=2x=-2 into the equation to find the value of yy.y=(2)4y =(-2)^{} -4

STEP 3

Now, calculate the cube of 2-2.
(2)3=8(-2)^{3} = -8

STEP 4

Substitute (2)3=8(-2)^{3} = -8 back into the equation.
y=3(8)4y =3(-8) -4

STEP 5

Calculate the multiplication of 33 and 8-8.
3(8)=243(-8) = -24

STEP 6

Substitute 3(8)=243(-8) = -24 back into the equation.
y=244y = -24 -4

STEP 7

Finally, calculate the value of yy.
y=244=28y = -24 -4 = -28The value of yy when x=2x=-2 in the equation y=3x34y=3 x^{3}-4 is 28-28.

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