Answer:
When proving identities, the answer is in the explanation.
Step-by-step explanation:
I have two terms in this denominator here.
I also know that 
by Pythagorean Identity.
So I don't know how comfortable you are with multiplying this denominator's conjugate on top and bottom here but that is exactly what I would do here. There will be other problems will you have to do this.
Big note here: When multiplying conjugates all you have to do is multiply fist and last. You do not need to do the whole foil. That is when you are multiplying something like 
, the result is just 
.
Let's do that here with our problem in the denominator.
In that last step, I apply the Pythagorean Identity I mentioned way above.
Now You have a factor of cos(y) on top and bottom, so you can cancel them out. What we are really saying is that cos(y)/cos(y)=1.
This is the desired result.
We are done.
Answer: refresh
Step-by-step explanation:
Answer:
17/40
Step-by-step explanation:
First let's find the least common denominator. The denominators are 8 and 25 so we need to find the least common multiple of 8 and 25.
8=2*2*2
25=5*5
Since they share no common factors the least common multiple of 8 and 25 is 8*25 which is 200.
Now we convert the fractions:
5/8*25/25=125/200
5/25*8/8=40/200
Then we subtract:
125/200-40/200=85/200
Now we simplify it:
17/40
Answer: True
Explanation:
According to the rational zeros theorem, if x=a is a zero of the function f(x), then f(a) = 0.
Given: f(x) = x⁴ + x³ - 11x² - 9x + 18
From the calculator, obtain
f(5) = 448
f(4) = 126
f(3) = 0
f(2) = -20
f(1) = 0
f(0) = 18
f(-1) = 16
f(-2) = 0
f(-3) = 0
The polynomial is of degree 4, so it has at most 4 real zeros.
From the calculations, we found all 4 zeros as x = -3, -2, 1, and 3.
Therefore
f(x) = (x+3)(x+2)(x-1)(x-3).
For x>3, f(x)increases rapidly. Therefore there are no zeros for x>3.
The statement that x=5 is an upper bound for the zeros of f(x) is true.
It would be y=x-7 just minus 2x on both sides and you get y=x-7
