Answer:
x = - 6 or x = 2
Step-by-step explanation:
The absolute value function always returns a positive value. However, the expression inside can be positive or negative.
Given
| 2x + 4 | - 1 = 7 ( add 1 to both sides )
| 2x + 4 | = 8, thus
2x + 4 = 8 ( subtract 4 from both sides )
2x = 4 ( divide both sides by 2 )
x = 2
OR
-(2x + 4) = 8
- 2x - 4 = 8 ( add 4 to both sides )
- 2x = 12 ( divide both sides by - 2 )
x = - 6
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 = 2 → | 4 + 4 | - 1 = | 8 | - 1 = 8 - 1 = 7 ← True
x = - 6 → | - 12 + 4 | - 1 = | - 8 | - 1 = 8 - 1 = 7 ← True
Hence the solutions are x = - 6 or x = 2
Answer:
408 bags of dog foods were sold
Step-by-step explanation:
145 bags of beef flavored dog food
+
263 bags of cheese flavored dog food
=
408 bags of dog foods were sold.
Answer:
First one is 25/2
Step-by-step explanation:
12×2+1=25/2
9×4+1=36/4
cross multiply and you get
100/
divide both by 2 and you get 50/4 then you divide both by 2 again and you get 25/2 because you can't reduce it anymore
Answer: D
Step-by-step explanation:
A quadratic function has a degree of 2 so there will be two roots. The statement says the function does NOT CROSS THE X-AXIS so there are no real roots. That means both roots must be imaginary (complex).
-8/5 is a rational number because in order to be a rational number it must be able to be written as a fraction. -8/5 is a fraction; therefore, the negative does not affect it.
