Answer:
y = 2x + 2
Step-by-step explanation:
The equation ofa line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 2x + 4 ← is in slope- intercept form
with m = 2
Parallel lines have equal slopes , thus
y = 2x + c ← is the partial equation
To find c substitute (3, 8) into the partial equation
8 = 6 + c ⇒ c = 8 - 6 = 2
y = 2x + 2 ← equation of parallel line
9/10. make the bottom numbers the same to add fractions. you can do that by multiplying 7/10 by 10/10.
70/100 + 20/100 = 90/100
90/100 = 9/10
you can also reduce 20/100 to 2/10.
7/10 + 2/10 = 9/10
$4/3=$1.33 per pound.
$9/8 = $1.13 per pound.
The second one is cheaper.
answer is 11/3.
HOPE THIS HELPS
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Answer:
x = - 2, x = 6
Step-by-step explanation:
Given f(x) = 18 we require to solve
3 | x - 2 | + 6 = 18 ( subtract 6 from both sides )
3 | x - 2 | = 12 ( divide both sides by 3 )
| x - 2 | = 4
The absolute value function always returns a positive value, however, the expression inside can be positive or negative, thus
x - 2 = 4 ( add 2 to both sides )
x = 6
OR
- (x - 2) = 4
- x + 2 = 4 ( subtract 2 from both sides )
- x = 2 ( multiply both sides by - 1 )
x = - 2
As a check substitute these values into the left side of the equation and if equal to the right side then they are the solutions
x = 6 → 3|6 - 2| + 6 = 3|4| + 6 = 3(4) + 6 = 12 + 6 = 18 ← True
x = - 2 → 3|- 2 - 2| + 6 = 3|-4| + 6 = 3(4) + 6 = 12 + 6 = 18 ← True
Hence solutions are x = - 2, x = 6
