Mrs. Grady surveyed 30 students, 11 of which said they liked basketball, 14 of which said they liked hockey, and 2 of which said
they liked both sports.
(a) How many students did not like either sport?
(b) How many students liked exactly one of the sports?
(a) How many students did not like either sport?
(b) How many students liked exactly one of the sports?
2 answers:
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Answer:
B
Step-by-step explanation:
This was originally a third degree polynomial:
, to be exact.
When you divide by -3, you are basically trying to determine if x + 3 is a zero of that third degree polynomial. The quotient is always one degree lesser than the polynomial you started with, and if there is no remainder, then x + 3 is a zero of the polynomial and you could go on to factor the second degree polynoial completely to get all 3 solutions. To perform the synthetic division, you always first bring down the number in the first position, in our case a 2. Then multiply that 2 by -3 to get -6.
-3| 2 4 -4 6
-6
2 -2
So far this is what we have done. Now we multiply the -3 by the -2 and put that up under the -4 and add:
-3| 2 4 -4 6
-6 6
2 -2 2
Now we multiply the -3 by the 2 to get -6 and put that up under the 6 and add:
-3| 2 4 -4 6
-6 6 -6
2 -2 2 0
That last row gives us the depressed polynomial, which as stated earlier here, is one degree less than what you started with:
ANSWER
The third option is the correct answer
EXPLANATION
The expression given to us is
This logarithmic expression is of the form
So we use the multiplication law of logarithm which is given by
We therefore set
The given expression now becomes,
The third option is the correct answer
EXPLANATION
The expression given to us is
This logarithmic expression is of the form
So we use the multiplication law of logarithm which is given by
We therefore set
The given expression now becomes,