There are 112 days in 16 weeks because if you multiply 7 times 16 you get 112 days.
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:
c. 174 in²
Step-by-step explanation:
You can use the formula for surface area and plug all your numbers in. It's basically just finding the area of all of the faces. A=2(wl+hl+hw)
You are given two tables and asked to find the value of x such that f(x) is equal to g(x). One table lists values for f(x); the other lists values for g(x). You are essentially being asked to find the line in one table that matches a line in the other table. When you compare line-by-line, you find that the lines that match are
(x, f(x)) = (2, 18) and (x, g(x)) = (2, 18)
This tells you ...
f(2) = 18 = g(2) . . . . that is, f(x) = g(x) when x=2
Comparing to the offered answer choices, you must conclude the solution is ...
b. x = 2
