Answer:
2
(
6
x^
3
−
30
x
^2
+
2
x
−
1
)
Step-by-step explanation:
Answer:
29
Step-by-step explanation:
Answer:
x = 1
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define Equation</u>
3(4x - 5) - 4x + 1 = -6
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute 3: 12x - 15 - 4x + 1 = -6
- Combine like terms: 8x - 14 = -6
- Isolate <em>x</em> term: 8x = 8
- Isolate <em>x</em>: x = 1
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 3(4(1) - 5) - 4(1) + 1 = -6
- Multiply: 3(4 - 5) - 4 + 1 = -6
- Subtract: 3(-1) - 4 + 1 = -6
- Multiply: -3 - 4 + 1 = -6
- Subtract: -7 + 1 = -6
- Add: -6 = -6
Here we see that -6 does indeed equal -6.
∴ x = 1 is the solution to the equation.
Slope is 5
Step-by-step explanation:
- Step 1: The equation of the line is y - 3 = 5(x - 2). Find the slope.
y - 3 = 5x - 10
Slope intercept form is y = mx + b, where m is the slope.
y = 5x - 10 + 3
y = 5x - 7
m = 5
Answer:
A t-score of 1.701 should be used to find the 95% confidence interval for the population mean
Step-by-step explanation:
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 29 - 1 = 28
Now, we have to find a value of T, which is found looking at the t table, with 28 degrees of freedom(y-axis) and a confidence level of 0.95(
). So we have T = 1.701.
A t-score of 1.701 should be used to find the 95% confidence interval for the population mean
