The function g(x) is g(x)= (3x)^2
<h3>How to solve for g(x)?</h3>
The complete question is in the image
From the graph in the image, we have:
f(x) = x^2
The function f(x) is stretched by a factor of 3 to form g(x).
This means that:
g(x) = f(3x)
So, we have:
g(x)= (3x)^2
Hence, the function g(x) is g(x)= (3x)^2
Read more about function transformation at:
brainly.com/question/10222182
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Usually, you create the inequality by casting the problem statement into mathematical terms. Then, solving the inequality can answer the question posed by the problem statement.
Example:
I want to carpet my 1600 ft² house, but I can only afford to spend $3000. Tax and installation costs are expected to add 20% to the total cost of the carpet. What price range of carpet should I be looking at in term of dollars per square yard?
Solution:
Let p represent the price per square yard of carpet. The problem statement tells me
(1600 ft²)×((1 yd)/(3 ft))²×p×(1 + 0.20) ≤ $3000 . . . . . created inequality
p×((1600×1.20)/9 yd²) ≤ $3000 . . . . . . . . . . . . . . . . . simplify left side
p ≤ $14.06/yd²
I can afford carpet that costs less than $14.06 per square yard.
Answer:
8x - 36
Step-by-step explanation:
Use distributive property: a(b + c) = a*b + a*c
4(2x - 9)= 4*2x - 4*9
= 8x - 36
1 because 1^4-25=-24 which is negative(so below the x-axis)
Answer:
x = 58
Step-by-step
d is parallel to m => (2x-26) ° and 90 ° are Alternate interior angles
2x - 26 = 90
2x = 90 + 26
2x = 116
x = 58