Question

Rewrite the following equation as a function of x 2x^(4)-625-500=0

Answer 1

Answer:

Option (D) is true.

Step-by-step explanation:

Given the equation

25x⁴ - 625y - 500 = 0

solving in terms of y as a function of x

$25x^4\:-\:625y\:-\:500\:=\:0$

Step 1: Add -25x⁴ to both sides

$25x^4\:-\:625y\:-\:500\:+\:\left(-25x^4\right)=0+\left(-25x^4\right)$

$-625y-500=-25x^4$

Step 2: Add 500 to both sides

$-625y-500\:+500=-25x^4\:+500$

$-625y=-25x^4\:+500$

Step 3: Divide both sides by -625

$\frac{-625y}{-625}=\frac{\left(-25x^4\:+500\right)}{-625}$

$\:\:y=\:\frac{1}{25}x^4-\frac{4}{5}$

Therefore,

$\:f\left(x\right)=\:\frac{1}{25}x^4-\frac{4}{5}$

Thus, option (D) is true.

Answer 2

Correct choice is D! :)