6th grade math i will give brainliest
1 answer:
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We have been given a function . We are asked to find the formula which gives the x-coordinates of the maximum values for given function.
We know that cosine function oscillates between and 1 that is minimum value of cosine is
and maximum value is
.
We also know that and after period of cosine is
. This means after every
, we will get to
.
So maximum of cosine is , where n is an integer.
Therefore, our required formula is , where,
Answer:
a.
b. x ≠ -5 (Vertical asymptote) and x ≠ 5 (Hole)
Step-by-step explanation:
Factor the numerator (Grouping):
Two numbers that multiply to -30 and add to -7 = -3 and 10
Factor the denominator (Difference of Two Squares):
=
Factored Expression:
(x - 5) can be factored out of top and bottom as a hole-
Variable Restrictions:
Denominator ≠ 0
Vertical asymptote at x = -5 ⇒ x ≠ -5