Answer:
32
Step-by-step explanation:
Step 1: Define
f(x) = 3x² - 5x - 4
g(x) = -4x - 12
Step 2: Find f(g(x))
f(g(x)) = 3(-4x - 12)² - 5(-4x - 12) - 4
f(g(x)) = 3(16x² + 96x + 144) + 20x + 60 + 4
f(g(x)) = 48x² + 288x + 432 + 20x + 64
f(g(x)) = 48x² + 308x + 496
Step 3: Find f(g(-4))
f(g(-4)) = 48(-4)² + 308(-4) + 496
f(g(-4)) = 48(16) - 1232 + 496
f(g(-4)) = 768 - 736
f(g(-4)) = 32
Answer:
is an odd function.
Step-by-step explanation:
We are asked to prove whether
is even or odd.
We know that a function
is even if
and a function
is odd, when
.
We also know that an even function is symmetric with respect to y-axis and an odd function is symmetric about the origin.
Upon looking at our attachment, we can see that
is symmetric with respect to origin, therefore,
is an odd function.
A rotation maps a line to a line, a ray to a ray, a segment to a segment, and an angle to an angle.
A rotation preserves lengths of segments.
A rotation preserves measures of angles. Step-by-step explanation:
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<h3>
Answer: Choice C</h3>
The base 16 is the same as 4*4.
From there, the rule
is used to get 
Afterward, the exponents are added getting 1/2+1/2 = 2/2 = 1. The rule is
which only works if the bases are both the same.
Answer:
Step-by-step explanation:
PERCENT CHANGE
The percentage change from 1.20 to 1.80 is 50 %
Our percent calculator uses this formula:
((y2 - y1) / y1)*100 = your percentage change
(where y1=start value and y2=end value)
((1.80 - 1.20) / 1.20) * 100 = 50 %