Answer:
-f(3x - 1) + 2 = -18x² + 12x + 1
Step-by-step explanation:
Step 1: Find f(3x - 1)
f(3x - 1) = 2(3x - 1)² - 1
f(3x - 1) = 2(9x² - 6x + 1) - 1
f(3x - 1) = 18x² - 12x + 2 - 1
f(3x - 1) = 18x² - 12x + 1
Step 2: Plug in f(3x - 1)
-(18x² - 12x + 1) + 2
Step 3: Evaluate
-18x² + 12x - 1 + 2
-f(3x - 1) + 2 = -18x² + 12x + 1
8x-24
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Answer:
The larger angle <K, has a measure of 120 degrees.
Step-by-step explanation:
So, a supplementary angle are two or more angles that combine to form a 180 degree straight line. So here, we need to set up an algebra equation.
2x = the larger angle (because it's two times the smaller angle)
x = the smaller angle
So then, you need to set both equal to 180 degrees, since combine they equal 180 degrees
2x + x = 180
3x = 180
x = 60
Using basic algebra, we see that the smaller angle is 60 degrees, but wee need to find the larger angle. Remember, we represented the larger angle as 2x.
2 time 60 is 120, so the larger angle is 120 degrees
Hope that helps :)
Answer:
(2x-9)(2x+9)
Step-by-step explanation:
This is a difference of squares because it can be written as (2x)^2-9^2
The formula for factoring a difference of squares is a^2-b^2=(a-b)(a+b)
So replace a with 2x and b with 9 giving us
4x^2-81=(2x-9)(2x+9)
