Answer:
x = -9
Step-by-step explanation:
First rearrange the terms.
-6x - 6x +3 = 111
Add like terms
-12x + 3 = 111
Subtract 3 from both sides
-12x = 108
Divide -12 on both sides
x = -9
A the slope of the line is 1
to calculate the slope m , use the ' gradient formula '
m = ( y₂ - y₁ ) /( x₂ - x₁ )
where (x₁, y₁ ) = 6, 3) and (x₂, y₂ ) = (9, 6)
m =
=
= 1
Answer:
20
Step-by-step explanation:
Number of paperback books = 4
Percentage of total books that were paperbacks = 20%
Let total number of books = x
Hence,
20% of total books = paperback books
20% of x = 4
0.2 * x = 4
0.2x = 4
0.2x / 0.2 = 4 / 0.2
x = 20
Total number of books = 20
Answer: B) neither
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Let's isolate y in the first equation. This way we can find the slope.
x-2y = 4
-2y = 4-x
-2y = -x+4
y = (-x+4)/(-2)
y = -x/(-2) + 4/(-2)
y = (1/2)x - 2
This matches with y = mx+b form with m = 1/2 being the slope.
The slope of y = 2x-2 is m = 2
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The slope of the first line is 1/2 and the slope of the second line is 2.
Since the two slopes (1/2 and 2) are not equal, this means the lines are not parallel.
Also, the two slopes do not multiply to -1, so the lines aren't perpendicular either.
This leads to B) neither as the final answer.
P = 25h + 600.
This is because even if he works no overtime, he still gets his 600.