Answer:
B.) 2(5x-4)(x+1)
Step-by-step explanation:
10x^2+2x-8
= 2(5x^2 + x - 4)
= 2(5x^2 + 5x - 4x - 4)
= 2[5x(x + 1) - 4(x + 1)]
= 2(5x-4)(x+1)
Answer:
D. X-7
Step-by-step explanation:
The table tells you that when x=7, g(x) = 0. In order for g(7) to be zero, at least one factor must be zero when x=7. The only factor on the list that is zero when x=7 is (x-7).
Answer:
Irrational, because it is non-terminating and non-repeating!
Answer:
a. Divide the figure into two rectangles, find the area of each rectangle and add them (See the picture attached).
b. 
c. The total area of the figure is 279 square inches.
Step-by-step explanation:
a. Divide the figure into two rectangles (See the picture attached), then find the area of each rectangle and finally, add the areas calculated in order to get the total area of the given figure,
b. The area of a rectangle can be found using this formula:
Where "l" is lenght and "w" is the width.
Area of Rectangle A
You can identify that:
Then, its area is:
Area of Rectangle B
You can identify that:
Then, its area is:
Total area
c. The total area of the figure is 279 square inches.
Answer:
(h o k) (3) = 3
(k o h) (-4b) = -4b
Step-by-step explanation:
An inverse function is the opposite of a function. An easy way to find inverse functions is to treat the evaluator like another variable, then solve for the input variable in terms of the evaluator. One property of inverse functions is that when one finds the composition of inverse functions, the result is the input value, no matter the order in which one uses the functions in the combination. This is because all terms in a function and their inverse cancel each other and the result is the input. Thus, when one multiplies two functions that are inverse of each other, no matter the input, the output will always be the input value.
This holds true in this case, it is given that (h) and (k) are inverses. While one is not given the actual function, one knows that the composition of the functions (h) and (k) will result in the input variable. Therefore, even though different numbers are being evaluated in the composition, the output will always be the input.
