Answer:
x = -11
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
<u>Algebra I</u>
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
Terms/Coefficients
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify.</em>
-3(x + 2) = 16 - x
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Distributive Property] Distribute -3: -3x - 6 = 16 - x
- [Addition Property of Equality] Add <em>x</em> on both sides: -2x - 6 = 16
- [Addition Property of Equality] Add 6 on both sides: -2x = 22
- [Division Property of Equality] Divide -2 on both sides: x = -11
Answer:
2
Step-by-step explanation:
The shape expanded in size by a factor of 2. So the dilation scale factor is 2
Answer:
4^x - 2^(x+1) = 48
x=3
Step-by-step explanation:
Answer:
Step-by-step explanation:
Since population std deviation is not known, we use t critical value for testing of hypothesis.
a) 90% conf level when n =28
df = 27, t critical = 1.706
b) 95% 28
df =27 and t critical = 2.052
c) 90% and 15
df =14 and t critical = 1.761
d) 95% and n =15
df =14: t critical = 2.145
Here are the combinations:
1x18 = 18
18x1 = 18
9x2 = 18
2x9 = 18
6x3 = 18
3x6 = 18
