Answer:
x < -4 ∪ x > 4
Step-by-step explanation:
The absolute value function is shifted down 3 units. The solution space is values of x where y = |x|-3 is greater than 1. The solution is shown in red in the attachments, and the left and right (dashed) sides of the inequality are shown in blue.
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I personally prefer to rewrite the inequality so the comparison is to <em>zero</em>. That is done in the second attachment, which rewrites it to ...
|x| -4 > 0
by subtracting 1 from both sides. It is often easier to read the values of x-intercepts than it is to read the coordinate values where lines cross each other.
Answer:
y=-x+1
Step-by-step explanation:
The slope is -1. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.
(y--1)=-1(x-2)
y+1=-x+2
y=-x+1
Answer: 4x² + 3x + 52
Step-by-step explanation:
1. rearrange & simplify terms:
(4x² - 4 + 6) + (3x - 7² + 1) . . .
(4x² + 2) + (3x + 49 + 1) . . .
(4x²+2) + (3x + 50).
2. combine like terms in standard form:
<u>4x² + 3x + 52</u>
Answer:
67
Step-by-step explanation:
(90÷18)-(18÷6)-(6÷3)= 72-3-2= 67
For this case we must factor the following expression:

We must find two numbers that, when multiplied, result in 9 and when added, result in -6.
These numbers are -3 and -3.

Then, the factored expression is of the form:

Thus, the correct option is option C.
ANswer:
Option C