Answer:
x = 1 or x = -5
Step-by-step explanation:
Solve for x over the integers:
8 abs(x + 2) - 6 = 5 abs(x + 2) + 3
Subtract 5 abs(x + 2) - 6 from both sides:
3 abs(x + 2) = 9
Divide both sides by 3:
abs(x + 2) = 3
Split the equation into two possible cases:
x + 2 = 3 or x + 2 = -3
Subtract 2 from both sides:
x = 1 or x + 2 = -3
Subtract 2 from both sides:
Answer: x = 1 or x = -5
Answer:
A
Step-by-step explanation:
Solving for x:
-3x + 8 ≥ 14
-3x ≥ 6
x ≤ -2
Notice the sign gets reversed when you divide or multiply by a negative number.
The only option less than -2 is -3, A.
Here's a tip: on multiple choice questions, sometimes it's faster to try each answer instead of solving the equation. This can save time on tests like the SAT or ACT.
Let's try it:
-3(-3) + 8 = 9 + 8 = 17
-3(-1) + 8 = 3 + 8 = 11
-3(0) + 8 = 0 + 8 = 8
-3(3) + 8 = -9 + 8 = -1
So you can see the answer is A.
Given equation is y=2x+7 and 
Let's simplify the 2nd equation before we can start graph so that calculation will be easy
multiply both sides by 2 to cancel out fractions
y=2x+7
which is exactly same as the first equatoin so graph of both will be exactly same and solution will be infinitely many solutions.
y=2x+7 has y-intercept 7 so first point will be (0,7). Slope is 2 so rise 2 unit up then 1 right and graph the new point.
7 days in a week, 3 days a rotation.
multiples of 7: 7, 14, 21, 28
multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24
the LCM is 21, because it is the smallest multiple of both numbers. there will be 21 more days until you take dance class on Mondays
The answer would be 15.7142857143
You can get the answer by calculating (5/7) × 22
