The answer is 20.
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Using the stated transformation, the graph of g(2x) is given at the end of the answer.
<h3>Horizontal stretch and compression</h3>
An horizontal stretch or an horizontal compression happens when a constant is multiplied at the domain of the function, as follows:
g(x) = f(ax).
The definition of stretch or compression depends on the value of the constant a, as follows:
- If a > 1, it is a compression by a factor of 1/a.
- If a < 1, it is a stretch by a factor of 1/a.
In this problem, the rule is:
f(x) = g(2x).
Meaning that f(x) is an horizontal compression by a factor of 1/2 of g(x), and then the vertices are given as follows:
That is, in each vertex, the x-coordinate was divided by 2, and thus the graph with these vertices is given at the end of the answer.
More can be learned about transformations at brainly.com/question/28725644
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Answer: -4
Step-by-step explanation:
2.5x = -10
1. divide -10 by 2.5
2. x = -4
Answer:
<h2>-3 ; 3</h2>
Step-by-step explanation:
4x² - 36 = 0 ⇌ (2x)² - 6² = 0 ⇌ (2x - 6)(2x + 6) = 0 ⇌ 2x - 6 = 0 or 2x + 6 = 0
⇌ x = 3 or x = -3
Should be 22%. When trying to convert a decimal to a percent just move the decimal point two places to the right. Ex: .07 = 7% or 1.11 = 111%