Answer:
Step-by-step explanation:
x^2 + 10x + 5 - 30 = 0
x^2 + 10x - 25 = 0
x^2 + 10x = 25
x^2 + 10x + 25 = 25 + 25
(x + 5)^2 = 50 <====
Step-by-step explanation:
the probability is always the number of desired cases over the number of all possible cases.
in our situation we have 15 cards.
that is the total possible cases when a random card is chosen.
how many desired cases do we have ?
a number NOT a multiple of 5.
how many are there ?
it is easier to say how many numbers there are being a multiple of 5 : 5, 10, 15
so, 3 numbers out of the 15 are multiple of 5.
that means
15 - 3 = 12 numbers of the 15 are NOT multiples of 5.
so, the probability to draw a card that is not a multiple of 5 is
12/15 = 4/5 = 0.8
the information about event B and even numbers is irrelevant for the question.
Answer:
Step-by-step explanation:
For many of these identities, it is helpful to convert everything to sine and cosine, see what cancels, and then work to build out to something. If you have options that you're building toward, aim toward one of them.
and
Recall the following reciprocal identity:
So, the original expression can be written in terms of only sines and cosines:
Working toward one of the answers provided, this is the tangent function.
The one caveat is that the original expression also was undefined for values of beta that caused the sine function to be zero, whereas this simplified function is only undefined for values of beta where the cosine is equal to zero. However, the questions states that we are only considering values for which the original expression is defined, so, excluding those values of beta, the original expression is equivalent to .
Answer:
7y
Step-by-step explanation:
2+(5+y)
2+5y
=7y.............
Answer:
4+*12+=54+5/)6
Step-by-step explanation: