Answer:
A D B
Step-by-step explanation:
mark brainliest
Answer:
C) x ≥ 11 or x ≤ -3
Explanation:
Given following: |x − 4| ≥ 7
Apply absolute rule: If |u| ≥ 0 then u ≤ -a, u ≥ a
Solving stepwise:
⇒ x - 4 ≤ -7, x - 4 ≥ 7
<u>change sides</u>
⇒ x ≤ -7 + 4, x ≥ 7 + 4
<u>add/subtract integers</u>
⇒ x ≤ -3, x ≥ 11
Answer:
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Answer:
30
Step-by-step explanation:
7 1/2 is 15/2 as an improper fraction
15/2 ÷ 1/4 = 15/2 · 4 which is 30
We are given the following function:
We are asked to do the following tranformations:
1. Shift down 5 units and left 77 units.
First, to shift a function down a number "n" of units we follow the next rule:
And, to shift a function "m" units to the left we use the following rule:
Applying both rules simultaneously we get:
2. Reflect about the y-axis.
The rule to reflect a function about the y-axis is the following:
The means that we will change "x" for "-x" in the function we are going to reflect. Applying the rule we get:
3. Compress vertically by a factor of 2.
To compress a function vertically by a factor "m" we multiply the entire function by 1/m, like this:
Applying the rule we get:
And thus we get to the final function.
