Type the correct answer in each box. spell all words correctly, and use numerals instead of words for numbers. if necessary, use/for fraction bar(s) the function below has an input, x, and produces a specific output, c, f(x)=4x^3=c solve for and complete the equation and statements below. x=[ ]

To produce "c" as output, x must be=\sqrt[3]{\frac{c}{4} }

Step-by-step explanation:

You are asked to find what "x" value renders "c" as answer when applied to the given function.

So we need to basically solve for "x" in the equation: , that is isolate "x" on one side of the equal sign.

We do such by first dividing both sides of the equation by "4" so we isolate the cubic root that contains "x". Then, we apply the cubic root on both sides:

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .