The function f(x)=x^3-3x^2+2x rises as x grows very small.

a. true
b. false

Explanation:

The phrasing "x grows very small" is the same as saying "x gets more negative". So it starts off with x = -1, then goes to x = -2, then to x = -3, etc etc

Visually x is moving to the left

As you move to the left along this curve, you'll eventually go downhill at some point and keep going downhill. So overall, y is getting more negative as well. This means the function is falling as you move to the left.

We can see this numerically. If x = 0, then y = 0 after plugging it into y = x^3-3x^2+2x

Then plug x = -1 into that same equation and you should get y = -6

Plug x = -2 into that equation and you should get y = -24

The progression from y = 0 to y = -6 to y = -24 shows y getting more larger in the negative direction.

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 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.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

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

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.