Answer + Step-by-step explanation:
case 1: x ≥ 6 → f(x) = 5x - 28
5(6) - 28 = 30 - 28 = 2
Then
the point A(6 ,2) lie on the graph (line) of f
5(7) - 28 = 35 - 28 = 7
Then
the point B(7 ,7) lie on the graph (line) of f
<u><em>Graphing : </em></u>
When x ≥ 6 ,the graph of f is the ray [AB) (just connect the points A and B)
case 2: x ≤ 6 → f(x) = -5x + 32
-5(6) +32 = -30 + 32 = 2
Then
the point A(6 ,2) lie on the graph (line) of f
-5(5) +32 = -25 + 32 = 7
Then
the point C(5 ,7) lie on the graph (line) of f
<u><em>Graphing : </em></u>
When x ≤ 6 ,the graph of f is the ray [AC) (just connect the points A and C)
What is the solution to the following inequality?
|4x -81 > 32
- I don't know if you meant, 4x - 81 > 32 OR 14x - 81 > 32. So, I've provided the answers for both.
<h3><u>1) 4x - 81 > 32</u></h3>
Add 81 to both sides.
Add 32 and 81 to get 113.
Divide both sides by 4. As 4 is >0, the inequality direction remains the same.
__________________
<h3><u>2) 14x - 81 > 32</u></h3>
Add 81 to both sides.
Add 32 and 81 to get 113.
Divide both sides by 14. As 14 is >0, the inequality direction remains the same.
If I understand your question well, I suppose you mean
Answer:
9/16 inches long
Step-by-step explanation:
45/64 inches long. 1/5 of that is 9/64. multiply by 4 you get 9/16 inches long i believe