Answer:
Step-by-step explanation:
Answer:
y = 7/8x + 1
Step-by-step explanation:
According to y = mx + b, whereas b is the y-intercept
so if b is positive, b has to be larger than 0
A non-proportional graph is a straight line that does not go through the origin so
The #1 and #4 are wrong because they are proportional
The #2 and #4 are wrong because they have negative y-intercept
Answer:
x = -7/4
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
5x + 3 - 2x = 12 + 7x - 2
<u>Step 2: Solve for </u><em><u>x</u></em>
- Combine like terms: 3x + 3 = 7x + 10
- [SPE] Subtract 3x on both sides: 3 = 4x + 10
- [SPE] Subtract 10 on both sides: -7 = 4x
- [DPE] Divide 4 on both sides: -7/4 = x
- Rewrite: x = -7/4
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 5(-7/4) + 3 - 2(-7/4) = 12 + 7(-7/4) - 2
- Multiply: -35/4 + 3 + 7/2 = 12 - 49/4 - 2
- Add: -23/4 + 7/2 = 12 - 49/4 - 2
- Add: -9/4 = 12 - 49/4 - 2
- Subtract: -9/4 = -1/4 - 2
- Subtract: -9/4 = -9/4
Here we see that -9/4 does indeed equal -9/4.
∴ x = -7/4 is the solution to the equation.
-4x-24=8
So you move the -24 to the other side.
-4x=32
Divide both sides by -4.
x=-8
Answer:
4
Step-by-step explanation:
The number of shelves must be a factor of the number of books from each category. (Because you are using multiple shelves). You are looking for the greatest amount, so you need to greatest, common factor (GCF) from each bunch of books.
GCF of 12, 16, 32 is 4.