Answer:
x=38/5
Step-by-step explanation:
distribute
Add 2 to both sides of the equation
Simplify
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Answer:

Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis) - Parallel lines always have the same slope and different y-intercepts
<u>1) Determine the slope (m)</u>

Rearrange this equation into slope-intercept form (this will help us find the slope)
Subtract x from both sides

Divide both sides by -2

Now, we can identify clearly that the slope of the given line is
since it's in the place of m. Because parallel lines always have the same slopes, the line we're currently solving for would therefore have a slope of
as well. Plug this into
:

<u>2) Determine the y-intercept (b)</u>

Plug in the given point (-6,-8)

Add 3 to both sides to isolate b

Therefore, the y-intercept is -5. Plug this back into
:

I hope this helps!
Answer:
T(2, -7) = (4, -10)
Step-by-step explanation:
T(x, y) = (x + 2, y - 3)
T(2, -7) = (2 + 2, -7 - 3)
T(2, -7) = (4, -10)
Answer:
C. Elizabeth wants to estimate the mean vacation days of coworkers at her company. She collects data by selecting a random group of coworkers within her department.
Step-by-step explanation:
Sampling Bias is case, in which some section of population have higher or lower chance of being selected in sample than others.
'Elizabeth wants to estimate the mean vacation days of coworkers at her company. She collects data by selecting a random group of coworkers within her department'. This case is of Convenience Sampling, where person selects sample only as per his/ her convenience.
Elizabeth has conveniently chosen sample workers from her department, so they have higher chance of being in sample, others have lesser chance. Hence, this is Sampling Bias