9514 1404 393
Answer:
9. ±1, ±2, ±3, ±6
11. ±1, ±2, ±3, ±4, ±6, ±12
Step-by-step explanation:
The possible rational roots are (plus or minus) the divisors of the constant term, divided by the divisors of the leading coefficient.
Here, the leading coefficient is 1 in each case, so the possible rational roots are plus or minus a divisor of the constant term.
__
9. The constant is -6. Divisors of 6 are 1, 2, 3, 6. The possible rational roots are ...
±{1, 2, 3, 6}
__
11. The constant is 12. Divisors of 12 are 1, 2, 3, 4, 6, 12. The possible rational roots are ...
±{1, 2, 3, 4, 6, 12}
_____
A graphing calculator is useful for seeing if any of these values actually are roots of the equation. (The 4th-degree equation will have 2 complex roots.)
Answer:
x = 14
Step-by-step explanation:
Answer:
m∠8 = 123°
Step-by-step explanation:
<em>∠1 and ∠8 are alternate exterior angles</em>, and since lines A and B are parallel, then <em>they must be congruent</em>.
So, m∠1 = m∠8
Substitute: 123 = m∠8
Answer:
n = 34.4
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
- Subtraction Property of Equality<u>
</u>
Step-by-step explanation:
<u>Step 1: Set Up</u>
Let's let our number be set by variable <em>n</em>.
We add 7 to it: n + 7
We then double that entire expression: 2(n + 7)
That expression is equal to 82.8: 2(n + 7) = 82.8
<u>Step 2: Solve for </u><em><u>n</u></em>
- [Division Property of Equality] Divide 2 on both sides: n + 7 = 41.4
- [Subtraction Property of Equality] Subtract 7 on both sides: n = 34.4
∴ Caroline's original number is 34.4.
