Given that y2 is directly proportional to the cube of x and y is always positive. Find the value of. when x = 3 if y = 18 when x =4

A) 27 B) 11.67 C) 29

11.69

Step-by-step explanation:

Given that y2 is directly proportional to the cube of x and y is always positive. then;

y² = kx³

if y = 18 when x =4

18² = k4³

324 = 64k

k  = 324/64

k = 5.0625

To get y when x = 3

Recall

y² = kx³

y² = (324/64)3³

y² = 324/64 * 27

y² = 136.6875

y = √136.6875

y = 11.69

Hence the value of y is 11.69

value of. when x = 3 if y = 18 when x =4

A) 27 B) 11.67 C) 29

option: d is correct

step-by-step explanation:

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .