Question

Essay; show all work. Bob’s Barber Shop estimates their gross revenue for the second quarter to be given by the polynomial 3x3 + 6x2 + 3x + 3. The shop estimates their costs for that quarter to be given by 9x2 – 6x + 5. For the second quarter, find and simplify a polynomial that will represent their profit. Note: Profit = Revenue - Costs

Answer 1

Okay, you're just going to do:
(3x^3 + 6x^2 + 3x + 3) - (9x^2 – 6x + 5)

So what's the first step?

Answer 2

so 3x^3-3x^3+9x-2

Answer 3

No, hmm.
Do you have work for that, so I can see where you're going wrong?

Answer 4

acually no so 3x^3-9x^2= 6x

Answer 5

or 9x^5+3x+3-3X^3+5

Answer 6

now i got 9x^3+8

Answer 7

(3x^3 + 6x^2 + 3x + 3) - (9x^2 – 6x + 5)

Okay, so first let's distribute the negative, so you'll have
3x^3 + 6x^2 + 3x + 3 - 9x^2 + 6x (it's a plus here now, do you know why?) -5 (you're subtracting here now.)

So now we have: 3x^3+6x^2+3x+3-9x^2+6x-5
What's next?

Answer 8

then we add x together like 9x^5+3x+3-3x^4-5
12x^6+3-3x^4-5
so 9x^2+2

Answer 9

anyone is this right lol

Answer 10

Okay we have: 3x^3 + 6x^2 + 3x + 3 -9x^2 + 6x - 5

Lets take that and group the terms together by their exponents, so it's easier. We have:

3x^3 + 6x^2 - 9x^2 + 6x + 3x - 5 + 3

What is the next step?

Answer 11

(3x^3 + 6x^2 + 3x + 3) - (9x^2 – 6x + 5)
profit = 3x^3 + 6x^2 + 3x + 3 - 9x^2 + 6x - 5
3x^3 - 3x^2 + 3x + 3 + 6x - 5
3x^3 - 3x^2 + 9x + 3 - 5
3x^3 - 3x^2 + 9x - 2

3x^3 - 3x^2 + 9x - 2

Answer 12

Yeah you got it!
3x^3 - 3x^2 + 9x - 2

Answer 13

ok great yay

Answer 14

Essay; show all work. Consider that the age, x, of a unicorn in human equivalent years can be given by the formula f(x) = - 0.001518x4 + 0.097326x3 – 1.3367x2 + 12.46x + 2.914. When a unicorn is 2.5 years old, what is its age in human equivalent years? What about when it is 12 years old?