1. solutions are intersection points
they intersect at x=4 and x=1 or the points (4,0) and (1,0)
select 4 and 1
2.
sub -x for x
if you get the same function, it is even
if you get the exact negative of the function, it is odd
if neither, then neither
basically
f(-x)=f(x) is even
f(-x)=-f(x) is odd
and neither is neighter
so
f(-x)=-2(-x)²+3(-x)
f(-x)=-2(x)²-3x
f(-x)=-2x²-3x
that is not the same function nor is it the exact oposite
neither even nor odd
3.
domain is the time you can use
obvioulsy start at time=0
and stop when it hits the ground because it shouldn't go underground
so domain is all real numbers from 0 to 5 including 0 and 5
that is [0,5]
4. (the (f+g)(x) one)
(f+g)(x)=f(x)+g(x)
so that is just
x²-36+x³+2x²-10=
x³+3x²-46
5. just mulitply them
x⁷+9x⁴-9x³-81
6. minus them
(3x⁵+6x²-5)-(2x⁴+7x²-x+16)
3x⁵+6x²-5-2x⁴-7x²+x-16
3x⁵-2x⁴-x²+x-21
Based on the type of equation, f(b) relates to y2, f(a) relates to y1, b relates to x2, and a relates to x1. If we change those around we now get:
(y2 - y1)/(x2 - x1) which is the slope formula, or the average rate of change. thus your answer would be C
Answer:

Step-by-step explanation:
Recall that
.
Therefore,
.
Because when you divide you get the same answer or something to do with percents
Answer:
They can select total 8 different furniture sets.
Step-by-step explanation:
Here given
The different choice of beds = 2
The different choice of dresser = 2
The different choice of desks = 2
And they need to choose 1 bed, 1 desk , 1 dresser
So, choice available for a desk = 2
Similarly, choice available for dresser = 2
and choice available for bed = 2
HENCE, THE TOTAL CHOICE OF PERMUTATION IS = 2 x 2 x 2 = 8
So they can select their furniture set in 8 different ways.