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.
8(number of soup) times 3 =x (number of vegetable cans)
Answer:
He burrows 6 holes in 2 minutes which means that he can burrow 3 holes in 1 minute.
To determine how many he can burrow in 7 minutes, you would multiply the
unit rate of 3 holes in 1 minute by 7.
He would burrow 21 holes in 7 minutes.
Step-by-step explanation:
brainliest pls?
Answer:
The height of the right trapezoid is 
Step-by-step explanation:
Let
x ----> the height of the right trapezoid in units
we know that
The perimeter of the figure is equal to
we have
---> because is a square
substitute
-----> equation A
<em>In the right triangle CDH</em>
so
Remember that 
so
substitute the values in the equation A
-----> equation A
![6=x[5+\sqrt{3}]](https://tex.z-dn.net/?f=6%3Dx%5B5%2B%5Csqrt%7B3%7D%5D)
The answer would be 120 hope this helps!!
