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:
its 10 cuz 240 x 984 = 12009
Step-by-step explanation:
I'm not sure if this is a multiple choice question, so I will just solve the equation.
-5 (4x - 7) + 8 = 3x
-5 (4x + (-7)) + 8 = 3x
1. Distributive Property of Multiplication
(-5)(4x) + (-5)(-7) + 8 = 3x
2. Simplify
-20x + (-35) + 8 = 3x
3. Simplify again
-20x - 27 = 3x
4. Add 27 to both sides and then subtract 3x from both sides to get all the x's by themselves on the same side
-20x - 27 + 27 = 3x + 27
-20x - 3x = 3x + 27 - 3x
5. Simplify
-23x = 27
6. Divide
-23x / -23 = 27 / -23
7. Simplify
Answer:
<h2>
x = - 27/23 ≈ -1.17</h2>
Hope this helps!
Answer: (5,3)
Step-by-step explanation:
the formula used for a reflection across the x-axis is (x,-y)
Answer:
The solution is x=4.75 and y = -22
Step-by-step explanation:
To find the solution to the system of equations, we will follow the steps below:
3.2x + 0.5y = 4.2 --------------------------------------------------------------------------(1)
-1.6x -0.5y = 3.4 ----------------------------------------------------------------------------(2)
add equation (1) and equation (2)
1.6x =7.6
Divide both-side of the equation by 1.6 to get the value of x
1.6x /1.6 =7.6/1.6
x =4.75
substitute x = 4.75 into equation (1) and solve for y
3.2(4.75) + 0.5y = 4.2
15.2 + 0.5y = 4.2
subtract 15.2 from both-side of the equation
15.2 - 15.2 + 0.5y = 4.2-15.2
0.5y = -11
Divide both-side of the equation by 0.5
0.5y/0.5 = -11/0.5
y = -22
The solution is x=4.75 and y = -22
