Let the speed of Brian = X
Brian drove at X miles per hour for 4 hours
Jake drove at X-15 for 4 hours
Set up an equation to get:
4x + 4(x-15) = 500 miles
Simplify:
4x + 4x -60 = 500
8x - 60 = 500
Add 60 to both sides:
8x = 560
Divide both sides by 8:
X = 560/8
X = 70
Brian's speed was x = 70 miles per hour.
Jake's speed was x - 15 = 70-15 = 55 miles per hour.
<span>Simplifying
4x + 20 = 6x + -10
Reorder the terms:
20 + 4x = 6x + -10
Reorder the terms:
20 + 4x = -10 + 6x
Solving
20 + 4x = -10 + 6x
Move all terms containing x to the left, all other terms to the right.
Add '-6x' to each side of the equation.
20 + 4x + -6x = -10 + 6x + -6x
Combine like terms: 4x + -6x = -2x
20 + -2x = -10 + 6x + -6x
Combine like terms: 6x + -6x = 0
20 + -2x = -10 + 0
20 + -2x = -10
Add '-20' to each side of the equation.
20 + -20 + -2x = -10 + -20
Combine like terms: 20 + -20 = 0
0 + -2x = -10 + -20
-2x = -10 + -20
Combine like terms: -10 + -20 = -30
-2x = -30
Divide each side by '-2'.
x = 15
Simplifying
x = 15</span>
Answer:
x<-1/3
Step-by-step explanation:
-2(3x+2)>-8+6
Distribute
-6x -4 > -8+6
Combine like terms
-6x-4> -2
Add 4 to each side
-6x +4-4 >-2+4
-6x>2
Divide by -6, remembering to flip the inequality
-6x/-6 < 2/-6
x <-1/3
Answer:
Step-by-step explanation:
The given expression is
We split the middle term to obtain;
We factor to obtain;
We factor further to obtain;