<span>Solve the following equation in the real number system. Please show all of your work.
example:
x³-6x²-10x+12=0
...
f(x)=x³-6x²-10x+12
A graphing calculator will show that there is one zero at x=-2
Divide f(x) by (x+2) by long division or synthetic division
(x³-6x²-10x+12)/(x+2)=x^2-8x+6
solve for other two zeros
x^2-8x+6=0
complete the square
(x^2-8x+16)+6-16=0
(x-4)^2=10
x-4=±√10
x=4±√10=7.16 and -.84
ans:
x=-2, -.84 and 7.16</span>
To prove that the trignometric identity sinθ cot θ is equal to cos θ, you can use the following:
sinθ cotθ = cosθ sinθ(cosθ/sinθ) = cosθ
cancel sinθ on the numerator and denominator and you will get:
cosθ = cosθ
Answer:
Edison will be paid $15,112 for 3 months
Step-by-step explanation:
Edison receives an annual fixed pay = $45,448.
Monthly pay = 45,448/12 = $3787.33
3-month salary = $3787.33 *3 = $11.362
Commission = 15%
Total sale = $25,000 for the first 3 months.
Commission amount = 25,000*0.15 = $3750
Therefore, total pay that Edison received during first 3 months= salary + commission
= $11,362 + $3750
= $15,112
Thank you.