Answer:

Step-by-step explanation:
Polynomial =
.
Before determining the degree of the polynomial, let's open the parentheses using the distributive property .

Degree is the highest exponential power in a polynomial .
So, the degree of the given polynomial is 5.

Answer:
135
Explanation:
Substitute 3 and 9 for a & b
5(3)(9)
= 135
Answer:
46 mph and 61 mph
Step-by-step explanation:
Distance=speed*time
Let speed of one bus be x and another x+15
After 3 hours
First bus would have traveled 3x while second bus 3(x+15)=3x+45
Total distance= 3x+3x+45=6x+45
6x+45=321
6x=321-45=276
x=276/6=46 mph
x+15=46+15=61 mph
All these cases represent experiments whose outcomes are all equaly likely. What we mean is that the cards have all the same probability of being dealt (1/52), and all the spaces of the spinner have the same probability of being landed into (1/5).
These probabilities are computed as 1 over all the possible outcomes.
(a) If you want a heart card and a five, you want the 5 of hearts. So, only one card would satisfy your request, and thus you have probability 1/52 of dealing the 5 of hearts.

(b) There are four 10s and four Jacks in the deck, so 8 cards satisfy your request. With probability 8/52, you'll be dealt a Jack or a 10.

(c) You have two "good" outcomes out of 5, so your probability is 2/5.
