Answer: The correct answer is Choice C.
For this polynomial to be a perfect square, it would need to be:
(10x + 7)^2
This will ensure that the first terms and the last terms will be 100x^ and 49. However, if you use foil to multiply the factors, you will not get 150x for the center term. Choice C also states that 150x will not be the middle term.
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Answer:
There is any answer as you choose.
Step-by-step explanation:
There is no equal to so you can choose any number.
Answer:
f(x)=(x-3)^2-7
Step-by-step explanation:
Vertex form: f(x) = a(x-h)^2+k
x^2-6x+9+2=f(x)+9
(x-3)^2+2=f(x)+9
f(x)=(x-3)^2-7
Answer:
At least 401 chosen guests
Step-by-step explanation:
Represent those with same birth day with Same
So:

Represent number of people with n
There are 365 days in a year and 364 days out of these days is not your birthday.
So, there the probability that n people do not share your birthday is 
i.e.

Solving further, we have that:



We're calculating the probability that
.
So, we have:

Collect Like Terms




Take natural logarithm (ln) of both sides


Apply laws of logarithm

Multiply through by -1

Solve for n

Reorder




(approximated)
This implies that n = 401, 402, 403 .....
i.e

So, at least 401 people has to be invited