Answer:
u = -5/9
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
-3(u + 2) = 5u - 1 + 5(2u + 1)
<u>Step 2: Solve for </u><em><u>u</u></em>
- Distribute: -3u - 6 = 5u - 1 + 10u + 5
- Combine like terms: -3u - 6 = 15u + 4
- Add 3u to both sides: -6 = 18u + 4
- Subtract 4 on both sides: -10 = 18u
- Divide 18 on both sides: -10/18 = u
- Simplify: -5/9 = u
- Rewrite: u = -5/9
<u>Step 3: Check</u>
<em>Plug in u into the original equation to verify it's a solution.</em>
- Substitute in <em>u</em>: -3(-5/9 + 2) = 5(-5/9) - 1 + 5(2(-5/9) + 1)
- Multiply: -3(-5/9 + 2) = -25/9 - 1 + 5(-10/9 + 1)
- Add: -3(13/9) = -25/9 - 1 + 5(-1/9)
- Multiply: -13/3 = -25/9 - 1 - 5/9
- Subtract: -13/3 = -34/9 - 5/9
- Subtract: -13/3 = -13/3
Here we see that -13/3 does indeed equal -13/3.
∴ u = -5/9 is a solution of the equation.
Answer:
36
Step-by-step explanation:
Hello,
If it becomes
and
So,
a = 1
b = 1
c = 17
d = 17
e = 0
Then a + b + c + d + e = 36
Thanks
<h2>
Answer:</h2>
If the line is parallel to the one given, their slopes are the same, so we need to find the y-intercept, then we can determine the slope-intercept form parallel to the given line.
Now that we have the y-intercept, we can create the equation.
We can prove this by graphing both lines, like so.
Answer:
Step-by-step explanation:
Sampling distribution of the sample proportion :
The sampling distribution of the sample proportion has mean = and standard deviation = .
Given : The proportion of left handed people in the population is about 0.10.
i.e. p=0.10
sample size : n= 300
Then , the sampling distribution of the sample proportion will be :-
(approx)
Hence, the sampling distribution of the sample proportion is