Answer:
<h2>x = 7</h2>
Step-by-step explanation:
Simplifying
x + 20 = 5x + -8
Reorder the terms:
20 + x = 5x + -8
Reorder the terms:
20 + x = -8 + 5x
Solving
20 + x = -8 + 5x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5x' to each side of the equation.
20 + x + -5x = -8 + 5x + -5x
Combine like terms: x + -5x = -4x
20 + -4x = -8 + 5x + -5x
Combine like terms: 5x + -5x = 0
20 + -4x = -8 + 0
20 + -4x = -8
Add '-20' to each side of the equation.
20 + -20 + -4x = -8 + -20
Combine like terms: 20 + -20 = 0
0 + -4x = -8 + -20
-4x = -8 + -20
Combine like terms: -8 + -20 = -28
-4x = -28
Divide each side by '-4'.
x = 7
Simplifying
x = 7
Every function is a rule which tells you how to associate inputs and outputs. The input, also known as independent variable, is often indicated with the letter 
, while the output, also known as dependent variable, is often indicated with the letter 
.
With this notation, we write 
, read "y is a function of x", in the sense that the value of the variable y depends on the value of the variable x, and f is the function that tells you how y depends on x.
In your example, you have 
, which means "subtract four times the input (4x) from 2"
So, it doesn't matter which input you chose (i.e. the value for x), because you will always have to behave this way:
- Pick an input value, x
- Multiply it by four to get 4x
- Subtract this number from 2: 2-4x
Here are some examples of explicit calculations: if I choose 
and input, the workflow will be
- Pick an input value, 2
- Multiply it by four to get 8
- Subtract this number from 2: 2-8=-6
So, if the input is 2, the output is -6
Similarly, if we choose 
as input, we have:
- Pick an input value, 0
- Multiply it by four to get 0
- Subtract this number from 2: 2-0=2
So, if the input is 0, the output is 2. And so on: for every possible value for x you have the correspondant value for y, with the function f telling you how to associate one with the other.
Answer:
B:2/15
Step-by-step explanation:
Divide both sides by 3
x=2/15
Hope this helped!
:)
Step-by-step explanation:
To calculate the volume of a pyramid with a rectangular base, find the length and width of the base, then multiple those numbers together to determine the area of the base. Next, multiply the area of the base by the height of the pyramid. Take that result and divide it by 3 to calculate the pyramid's volume!
Answer:
Step-by-step explanation:
