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

23, 34, 27, 7, 30, 26, 28, 31, 34 What number is an outlier for the given data? A) 7 B) 23 C) 31 D) 34

marin [14]

An outlier for a data set is a number which stands out, meaning it is not close to the rest of the numbers. It can either be greater OR less than the rest of the numbers.

23, 34, 27, 7, 30, 26, 28, 31, 34

Which number stands out from this data set?

Yep! 7. This is because it is not close to the other numbers, whereas the other numbers are closer to each other.

A) 7.

7 0

3 years ago

Read 2 more answers

Sidneys made $38 more than 3 times Casey’s weekly salary. If x represents Casey’s weekly salary , write an expression for sidney

Harrizon [31]

y=3x+38 is the expression for Sidney's weekly salary.

Step-by-step explanation:

Given,

Casey's weekly salary = x

Let,

y be the weekly salary of Sidney's.

According to given statement;

Sidney makes $38 more than 3 times Casey's weekly salary.

Sidney's weekly salary = 3 times Casey's weekly salary + $38

$y=3x+38$

y=3x+38 is the expression for Sidney's weekly salary.

Keywords: variable, addition

Learn more about variables at:

#LearnwithBrainly

8 0

3 years ago