Answer:
cos²A - cosA - 6
Step-by-step explanation:
Given
(cosA + 2)(cosA - 3)
Each term in the second factor is multiplied by each term in the first factor, that is
cosA(cosA - 3) + 2(cosA - 3) ← distribute both parenthesis
= cos²A - 3cosA + 2cosA - 6 ← collect like terms
= cos²A - cosA - 6
Add 2 to both sdies
now if we can facor, then if
xy=0 then x and/or y=0
note:xy=x times y and x(y) =x times y
x^2+3x+2=0
what 2 number multiply to get 2 and add to get 3
the numbers are 2 and 1
(x+2)(x+1)=0
set them to zero
x+2=0
subtract 2
x=-2
x+1=0
subtract 1
x=-1
x could be -1 or -2
x=-2, or -1
Answer:

Step-by-step explanation:
The following piecewise functions are linear functions. The graph of any of them is a line segment.
We just need to calculate the value of the function at each end specified in the brace.

Substitute x =-1 and x = 0:

Range of this piece is [-5; -2)

Substitute x =0and x = 5:

Range of this piece is [3; 13)
Therefore the range of the following piecewise function is:

Look at the picture.
Point D (-2,-6)>>(x,-y)>> Point D’(-2,6)
Point D’ (-2,6)>> (-x,y)>> Point D’’(2,6)