Can somebody explain the question and the answer i’m so, so lost in this unit.

Undefined

Step-by-step explanation:

1. In order to even begin to answer this question, we'll need to find the definition of a few terms:

Coefficient: A constant quantity placed before a variable in an equation.

The expansion of an equation is the unfactored version of an equation.

2. Based on these definitions, the question is asking:

"What number is in front of of x^3 in the expanded version of (6x + 5y)^4?"

It still sounds super confusing, but at least its comprehensible.

3. Now that we know what we're being asked for, we can begin to solve... but how? Expanding (6x + 5y)^4 seems like it would take forever right?

This is when it gets complicated. You'll to have a couple concepts in your mind:

If what I'm doing right now seems confusing, look up how to, "Find the Coefficient of an Expansion." I checked and there are videos on this.

4. Here is the order of how we solve this problem from this point forward:

5. We are given two different variables to expand. (6x) and (5y). The question is asking for the coefficient in front of x^3, so our format is (6x)^3(5y)^0. The 5y should still be shown although its exponent is 0.

I'm going to have to again stress looking for videos on what exactly I'm doing. I'm sorry that I can't properly teach Combinations. From this point on you may have trouble understanding what's going on.

Math:

Change into the format of the Combination Formula

Now plug this back into our equation

There is no term containing x^3 based on the fact that is undefined.

I hope that you can figure out Combinations. I remember learning about them, but it is a very conceptual concept. Once you do figure out how they work though, they become very easy to use. Good luck on your math.

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'.