Brianna's thinking is incorrect.
Expessions A, and C. are equivalent.
For C, you add 5x and x together (because they have the same variable) to get 6x - 4.
For A, you subtract 9x and 3x (because they have the same variable) to get 6x- 4.
Answer:
d.) 2
Step-by-step explanation:
If you were going to solve the second part of the equation you would distribute and since we want the number we chose to equal 8, so the sides will be equivelent and their will be infinite solutions, we have to account for the *4 so if we do 8 ÷ 4 we will have the number we should use for infinite solutions
8÷4=2
You can also check it by putting 2 in the equation
4x + 8 = 4(x+2) now distribute the 4
4x+8=4x+8
Answer:
The length of the rectangle is given as:
(9x + 6)
Step-by-step explanation:
The area of a rectangle is given as:
Length × Width
Area of the rectangle = 45x² − 42x − 48
Width = 5x - 8
We solve for the length of the rectangle by factorising the area of the rectangle
45x² − 42x − 48
45x² - 72x + 30x - 48
(45x² - 72x )+ (30x - 48)
9x(5x - 8) + 6(5x - 8)
(5x - 8)(9x + 6)
Therefore:
The length of the rectangle is given as:
(9x + 6)
F(x) = 3x + 7.....g(x) = 4x - 2
A. (f + g)(x)
3x + 7 + 4x - 2
7x + 5 <====
B. (f * g)(x)
(3x + 7)(4x - 2) =
3x(4x - 2) + 7(4x - 2) =
12x^2 - 6x + 28x - 14
12x^2 + 22x - 14 <===
C. f[g(x)]
3(4x - 2) + 7 =
12x - 6 + 7 =
12x + 1 <===