This is a probablity question
there are 3 slots, 26 letters of the alphabet
so in the first slot, we have 26 possible letters
2nd slot, we have 25 possible letters (we used one for the first slot)
3rd slot, we have 24 possible letters, (we used 2 for first and 2nd slot)
so in total, we have 26*25*24 or 15600 different 3 letter initials with no repeated letters
Answer: Choice D
(x - 8) and (x - 3)
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Explanation:
The term "root" is the same as "zeros of a function".
If 3 is a root, then x = 3 leads to x-3 = 0 after subtracting 3 from both sides.
If 8 is a root, then x = 8 leads to x-8 = 0 for similar reasoning
Use of the zero product property allows us to combine those two rules into the following
(x-3)(x-8) = 0
This shows that the two factors are (x-8) and (x-3)
The order of the factors doesn't matter because we can multiply two numbers in any order.
The length of BC is also 6 because the rhombus is equilateral or congruent sides meaning each side are equal to eachother
Answer:
The remainder is 101.
Step-by-step explanation:
We are dividing:
By the Polynomial Remainder Theorem, if we are dividing a polynomial P(x) by a binomial in the form (x - a), the our remainder will be P(a).
The divisor is (x + 1). Therefore, our a = -1.
Then the remainder will be:
We can rewrite our polynomial as:
Each of the parentheses contain fifty terms. -1 to any odd power is -1, and -1 to any even power is 1. Therefore:
Evaluate:
The remainder is 101.
