The graph of the equation is attached in the figure below
Step-by-step explanation:
We need to make the graph of the equation: 
Solving the equation:
Applying absolute rule: |u|<a, a>0 then -a<u<a
So,
The graph of the equation is attached in the figure below.
Keywords: Solving inequalities by Graphs
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The only option that fits is E, because:
f(10)=4×10+10=50
The answers to the questions
f(x) = x² + 5x - 2
f(x) + 2 = x² + 5x - 2 + 2
f(x) + 2 = x² + 5x
f(x) + 2 = x(x) + x(5)
f(x) + 2 = x(x + 5)
f(x) = x(x + 5) - 2
(h, k) = (-5, 2)
Answer:
Step-by-step explanation:
y = -x + 7 -------------(II)
Plugin y = -x + 7 in equation (I)
2(-x + 7) =x² - 6x + 9
-2x + 14 =x ² - 6x + 9
x² - 6x + 9 = -2x + 14
x² - 6x + 9 + 2x - 14 = 0
x² - 4x - 5 = 0
x² -5x + x - 5 = 0
x(x - 5) + 1(x - 5) = 0
(x -5)(x + 1) = 0
x- 5 = 0 ; x + 1 = 0
x = 5 ; x = -1
When x = 5 ⇒ y = -5 + 7 = 2
When x = -1 ⇒ y = -(-1) + 7 = 1 + 7 = 8
Solution (5 , 2) & (-1 , 8)
