Answer: 7
Step-by-step explanation:
They are alternate interior angle
2x + 5 = 3x -2
2x = 3x -7
-x = -7
x = 7
The ordered pair that is a solution of the system is (-2, 8).
<h3>Which ordered pair is included in the solution set to the following system?</h3>
Here we have the system of inequalities:
y > x² + 3
y < x² - 3x + 2
To check which points are solutions of the system, we can just evaluate both inequalities in the given points and see if they are true.
For example, for the first point (-2, 8) if we evaluate it in the two inequalities we get:
8 > (-2)² + 3 = 7
8 < (-2)² - 3*(-2) + 2 = 12
As we can see, both inequalities are true. So we conclude that (-2, 8) is the solution.
(if you use any other of the 3 points you will see that at least one of the inequalities becomes false).
If you want to learn more about inequalities:
brainly.com/question/18881247
#SPJ1
The algebraic expression for the mathematical statement given as 4 more than the difference of 12 and a number j is 4 + 12 - j
<h3>How to determine the arithmetic expression?</h3>
The mathematical statement is given as:
4 more than the difference of 12 and a number j
4 more than means 4 +.
So, we have:
4 + the difference of 12 and a number j
the difference of 12 and a number j means 12 - j
So, we have
4 + 12 - j
Hence, the algebraic expression for the mathematical statement given as 4 more than the difference of 12 and a number j is 4 + 12 - j
Read more about algebraic expression at
brainly.com/question/4344214
#SPJ1
Answer: Phase Shift, Period Change
Step-by-step explanation:
