Answer:
x=16
Step-by-step explanation:
First, minus 80 from 180 because the sum of all the angles in a triangle is 180. Then use linear equations. 100=(4x-4)+(0.5x+32)
After that, you will get 100=4.5x+28
x=16
The given inequality is y ≥ |x + 2| -3.
This inequality may be written two ways:
(a) y ≥ x + 2 - 3
or
y ≥ x - 1
(b) y ≥ -x -2 - 3
or
y ≥ -x - 5
A graph of the inequality is shown below. The shaded region satisfies the inequality.
Answer: A shaded region above a solid boundary line.
Answer:
D) y = 1/3-x
Step-by-step explanation:
The average rate of changes for each of the functions between 0 and 1 is 8, 3, 1, and 2. The average rate of change of y = 3x is 2. Therefore the same average rate of change is 2, which is the function y = 1/3-x
ANSWER:
Both functions have the same slope
The linear equation does not have a y-intercept
The table and the grahp express an equivalent function
STEP-BY-STEP EXPLANATION:
In order to compare, we must calculate the slope of the table, knowing that the equation in its slope and intercept form is the following:

The formula to calculate the slope is the following:

The points are (-6, -9/2) and (4,3), replacing:

The slope is 3/4
Now, for b
x = 4
y = 3
m = 3/4
replacing:

The equation is:

Therefore, the true statements are:
• Both functions have the same slope
,
• The linear equation does not have a y-intercept
,
• The table and the grahp express an equivalent function
Answer:
68/9
Step-by-step explanation:
34 ÷ (14 − 5) × 2
PEMDAS
Parentheses first
34 ÷ (9) × 2
We have no Exponents so
Multiply and Divide from left to right
34/9 *2
68/9