9514 1404 393
Answer:
f(g(x)) = -3x^2 -2x -3
Step-by-step explanation:
<u>Given</u>:
f(x) = -x-7
g(x) = 3x^2 +2x -4
<u>Find</u>:
f(g(x))
<u>Solution</u>:
Substitute per the function definitions.
f(g(x)) = f(3x^2 +2x -4) = -(3x^2 +2x -4) -7
f(g(x)) = -3x^2 -2x -3
9514 1404 393
Answer:
180°
Step-by-step explanation:
A parallelogram has rotational symmetry of degree 2. That is, it maps to itself when rotated through angles that are multiples of 360°/2 = 180°.
The figure should be rotated 180 degrees.
Let's solve for x.
Layout equation:
a/b
(2x−12)=c/d
Step 1: Multiply both sides by b.
2ax−12a=bc/d
Step 2: Multiply both sides by d.
2adx−12ad=bc
Step 3: Add 12ad to both sides.
2adx−12ad+12ad=bc+12ad
2adx=12ad+bc
Step 4: Divide both sides by 2ad.
2adx/2ad=12ad+bc/2ad
So the answer is x=12ad+bc/2ad.
Answer:
n=6
Step-by-step explanation:
1/2 n + 3 = 6
Subtract 3 from each side
1/2 n +3-3=6-3
1/2n = 3
Multiply each side by 2
1/2 n * 2 = 3*2
n = 6
Answer:
D
Step-by-step explanation:
