Answer:
-4 4 4.5 8 20.5 32
Step-by-step explanation:
f
g(x) = f(g(x))
Given, f(x) = 2x²
and g(x) = x - 2
Now f(g(x)) = f(x - 2) = 2(x - 2)²
We know that (a - b)² = a² - b² + 2ab
Using this we expand f(g(x)). We get:
f(g(x)) = 2{x² - 4x + 4}
Similarly, g(f(x)) = g(2x²) = 2x² - 2
Now, f(g(-2)) = 2[(-2)² - 4(-2) + 4] = 2(16) = 32.
Also, g(f(-2)) = 2[(-2)² - 2] = 2(2) = 4.
f(g(3.5)) = 2{(3.5)² -4(3.5) + 4} = 2[12.25 - 14 + 4] = 2(2.25) = 4.5.
g(f(3.5)) = 2{(3.5)² -2} = 2{12.25 - 2} = 2(10.25) = 20.5.
f(g(0)) = 2{0 - 4(0) + 4} = 2(4) = 8.
g(f(0)) = 2{0 - 2} = 2(-2) = -4.
Arranging them in ascending order, we get:
-4 4 4.5 8 20.5 32 would be the sequence.
Answer:
a^4+3a^2-3b^2
Step-by-step explanation:
The cost is roughly $89 per square foot.
12500÷1400=89.28571429
Y = -2x^2
h = Xv = -B/2A = 0/-4 = 0.
k = -2*0^2 = 0.
V(0,0).
Use the following points for graphing:
Y = -2x^2.
(x,y)
(-2,-8)
(-1,-2)
V(0,0)
(1,-2)
(2,-8)
Y = -2x^2 + 4.
h = Xv = -B/2A = 0/-4 = 0.
k = Yv = -2*0^2 + 4 = 4.
V(0,4).
(-2,-4)
(-1,2)
V(0,4)
(1,2)
(2,-4)
9514 1404 393
Answer:
b. -150
Step-by-step explanation:
We usually take elevation to be positive above sea level, and negative below sea level. If the elevation is below sea level, it is negative. If it is within 200 ft of sea level, the magnitude of the negative number is 200 or less. That is, the elevation must satisfy ...
-200 ≤ elevation < 0
The only answer choice in that range is -150.
Ethan's elevation in feet could be -150.
