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
7x-y-17=0
Step-by-step explanation:
Answer:
$45
Step-by-step explanation:
The sale price changed from $80 to 60, then with the coupon another 25% was taken off leading it to come to a price of $45
$80 x .75 = 60
$60 x .75 = 45
(.75 is for the price of the original value that he will be paying later)
Answer:
a) 16.66%
b) 5%
Step-by-step explanation:
a)
Since the teacher assumes each of the three possibilities are equally likely, then he assumes 33.33% to each one.
In this case the probability that you traveled to school that day by car would be
50% of 33.33% = (0.5)(0.3333) = 0.1666 = 16.66%
b)
In this case, the teacher would assume
90% ride on bicycle
0% take the bus
10% travel by car
So, in this case the probability would be
50% of 10% = (0.5)(0.1) = 0.05 = 5%
Answer:
You will pay $42.50
Step-by-step explanation:
You will pay 50-7.5 which gives you 42.50
