FIRST. find the factors:
X=-5 --> (X + 5) = 0
x = 1--> (X - 1) = 0
x =3 --> (x - 3) = 0
3
NEXT, multiply all the factors:
(x + 5) (x - 1) (x - 3) = 0
-> X3 + x2 - 17x +15 = 0
-> f(x) = x3 + x2 - 17x +15 or
y=x3 + x2
17x + 15
Answer:
We can use a trick here. Let's look at the first few exponents of i to realize this:
i^0 = 1
i^1 = i
i^2= -1
i^3 = -i
i^4 = 1
i^5 = i
i^6 = -1
i^7 = -i
we can see that the pattern (1, i, -1, -i) repeats. Since 82/2 = 41, and 41 is only divisible by 1, i^41 = i, and i^2 = -1. -1*i = -i, so i^82 = -i.
Step-by-step explanation:
<span>Each ticket costs $10. He bought "x" tickets. Ticket cost = 10*x
Each bag of popcorn costs $5.
He bought "y" bags of popcorn.
Popcorn cost = 5*y
Service fee: $3
Total cost = 10x + 5y + 3 <= $75 is the inequality.
10x + 5y <= 72
If x = 4,
then 40 + 5y <= 72
5y <= 32
y <= 6.4
So y = 6 bags of popcorn.</span>
(1/2)/6 = 1/12
Each bundle will weigh 1/12 pound, about
ounces.
Slope of (-6,-8) and (-2,5) is -1.625
Slope of (2,2) and (10,4) is 0.75
