Final Answer: 
Steps/Reasons/Explanation:
Question/Given: Factor the polynomials 
<u>Step 1</u>: Ask: Which two numbers add up to 
and multiply to 
?
and 
<u>Step 2</u>: Rewrite the expression using Step 1.
~I hope I helped you :)~
To begin with, we can simplify <em>y</em> using the Pythagorean identity:
<em>y</em> = 2 cos²(<em>x</em>) + 3 sin²(<em>x</em>) + 5
<em>y</em> = 2 (cos²(<em>x</em>) + sin²(<em>x</em>)) + sin²(<em>x</em>) + 5
<em>y</em> = 2 + sin²(<em>x</em>) + 5
<em>y</em> = sin²(<em>x</em>) + 7
Next, we can further rewrite this using the half angle identity for sine:
<em>y</em> = (1 - cos(2<em>x</em>))/2 + 7
<em>y</em> = 15/2 - 1/2 cos(2<em>x</em>)
Now, since cos(<em>x</em>) is bounded between -1 and 1, we have
max(<em>y</em>) = 15/2 - 1/2×(-1) = 15/2 + 1/2 = 8
and
min(<em>y</em>) = 15/2 - 1/2×1 = 15/2 - 1/2 = 7
Then the sum of the maximum and minimum is 8 + 7 = 15.
Answer: x=2
3x−9x+7−3=−8
Step 1: Simplify both sides of the equation.
3x−9x+7−3=−8
3x+−9x+7+−3=−8
(3x+−9x)+(7+−3)=−8
−6x+4=−8
−6x+4=−8
−6x+4−4=−8−4
−6x=−12
−6x
−6
=
−12
−6
x=2
Answer:
x≤−15
Step-by-step explanation:
