Answer:
4
Step-by-step explanation:
= ± 4
The principal root is the positive one, that is 4
Answer:
6 in.
Step-by-step explanation:
Answer: b = 1850 - 120w
Step-by-step explanation:
Let w represent the number of weeks for which the books are purchased.
They are being purchased at a steady rate of 120 books per week. This means that the number of books purchased after w weeks would be 120w.
The total number of algebra textbooks that she had initially is 1850
If b represents the number of books left after w-weeks of sales, then the linear function that models the number of books left after w weeks would be
b = 1850 - 120w
y = mx + b
Subtract mx from both sides
y - mx = b
b = y - mx
Answer:
(32/5, -48/5)
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
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
- Terms/Coefficients
- Coordinates (x, y)
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
-4x + 16 = y
2x - 32 = 2y
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 2x - 32 = 2(-4x + 16)
- Distribute 2: 2x - 32 = -8x + 32
- [Addition Property of Equality] Add 8x on both sides: 10x - 32 = 32
- [Addition Property of Equality] Add 32 on both sides: 10x = 64
- [Division Property of Equality] Divide 10 on both sides: x = 32/5
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: -4x + 16 = y
- Substitute in <em>x</em>: -4(32/5) + 16 = y
- Multiply: -128/5 + 16 = y
- Add: -48/5 = y
- Rewrite/Rearrange: y = -48/5
