So, we have to solve two different equations, depending of the possible range for the variable. We have to remember about these ranges when we decide to accept or discard the solutions:

Suppose that $p+2\geq 0 \iff p \geq -2$

In this case, the absolute value doesn't do anything: the equation is

$p+2 = 10 \iff p = 10-2 = 8$

We are supposing $p \geq -2$ , so we can accept this solution.

Now, suppose that $p+2 < 0 \iff p < -2$ . Now the sign of the expression is flipped by the absolute value, and the equation becomes

$-p-2 = 10 \iff -p = 12 \iff p = -12$

Again, the solution is coherent with the assumption, so we can accept this value as well.

3 0

3 years ago

The Smith family went out to eat at Applebees. The total for their meal was $58.25. If they want to leave a 20%, how much tip sh

Len [333]

Answer:

$11.65

Step-by-step explanation:

20% of 58.25, "of" in math means multiplication. So you multiply it.

To get 20% as a fraction you move the decimal 2 places to the left, and it's .2 or .20 so you get this equation:

.20 * 58.25

So your answer is, $11.65.

To find the total of the bill including the tip it would just be

11.65 + 58.25 = 69.90

4 0

2 years ago

Write without the absolute value sign. |x-3| if x>4

lisabon 2012 [21]

If x>4, then the quantity x-3 inside the absolute value symbol is already positive. So, in this case, |x-3| => x-3, and x-3 is all you need to write.

6 0

2 years ago