Answer:
x = -17/4
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
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>
<em>Identify</em>
3x + 5(2 + x) = 4x - 7
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Distributive Property] Distribute 5: 3x + 10 + 5x = 4x - 7
- [Addition] Combine like terms: 8x + 10 = 4x - 7
- [Subtraction Property of Equality] Subtract 4x on both sides: 4x + 10 = -7
- [Subtraction Property of Equality] Subtract 10 on both sides: 4x = -17
- [Division Property of Equality] Divide 4 on both sides: x = -17/4
Answer: 3
Step-by-step explanation:
You can answer this question by using the equation
(8+x)(7+x)=110
The x represents the width, as we do not know the area. If you simplify the equation, it becomes 56+15x+x2=110.
If you move all the terms to the left side, and rearrange it, it can become x^2+15x-54=0
This can be simplified into (x-3)(x+18)=0
This equation makes it so that x is either 3 or -18. It is not possible for a width to be -18, so the width must be 3.
Answer: B
Step-by-step explanation:
It is one sided test of R-squared being zero versus being greater than zero.
These are the steps of the test.
1. State the null and alternative hypothesis: ...
2. Compute the test statistic: ...
3. Find a (1 - 0.05)×100% confidence interval for the test statistic. ...
4. Decide whether to accept or reject the null hypothesis: 5.991 ∉ [0, 2.28], so reject H 0 .
5. Determine the p-value.