Answer:
x = 1.02564
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>
Step-by-step explanation:
<u>Step 1: Define</u>
35 + 0.8x = 43 - 7x
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Addition Property of Equality] Add 7x on both sides: 35 + 7.8x = 43
- [Subtraction Property of Equality] Subtract 35 on both sides: 7.8x = 8
- [Division Property of Equality] Divide 7.8 on both sides: x = 1.02564
The answers are that the number can equal -4 or 1.
You can find this by setting the number equal to x.
x^2 (The square of a number) + 3x (three times a number) = 4
x^2 + 3x = 4 ---> subtract 4 from each side
x^2 + 3x - 4 = 0
Then you can factor this to find the answers
(x - 4)(x + 1) = 0
Set both equal to 0 and solve.
1 mile = 1,760 yards
2 miles = 3,520 yards.
plus 20 more = <u>3,540 yards</u>
3x^2 + 2x - 6 if x = -2
=3(-2)^2 + 2(-2) - 6
=12 - 4 - 6
= 2
5x^2 + 6x - 2 if x = -2
=5(-2)^2 + 6(-2) - 2
=20 - 12 - 2
= 6
-2x^3 + 2x^2 if x = 2
= -2(2)^3 + 2(2)^2
= -16 + 8
= -8