Step-by-step explanation:
sec x − cos x
Secant is the inverse of cosine:
(1 / cos x) − cos x
Find the common denominator:
(1 / cos x) − (cos² x / cos x)
Subtract:
(1 − cos² x) / cos x
Answer:
(x+2)/(x-6)(x+2)
Step-by-step explanation:
We know that vertical asymptotes are found in the denominator, so we can start with 1/(x-6)
x-6 will equal zero at 6, so that is where the VA will be.
For the removable discontinuity (hole), it needs to cancel out in the numerator and denominator. (x+2)/(x-6)(x+2)
when x equals -2, there is an undefined y value.
Answer:
The relation
or y = seven-halves x is a direct variation that contains the ordered pair (2,7).
Step-by-step explanation:
Given:
The ordered pair = (2, 7).
Now, to get the direct variation:
As (2,7) lies on it.
So, direct variation means 


Now,




Now, to get the direct variation:


or y = seven-halves x.
Therefore, the relation
or y = seven-halves x is a direct variation that contains the ordered pair (2,7).
Answer:
160/196
Step-by-step explanation:
it would be easier if you converted all fractions to improper fractions
so 3 1/5 would equal 16/5 and 2 4/5 would equal to 14/5
: to solve this you would need the same common denomenator,
to do this you can multiply 5 and 3 by something to make the lowest common denominator, which would be 15
thus
multiplying first fraction by 3 and the second by 5
42/15 - 10/15 = 32/15
now 32/15 divided by 14/5
the rule for dividing fractions, is flipping the fraction which you will be using to divide, and then multiplying it to the first fraction:
multiplied by 
thus, answer is 160/196