Question

I know these answers are correct, but I need help understanding how, if that makes sense. There are 15 Q&A's and one I just need help on.

Will fan and medal.

Answer 1

1. 2 – 11x^2 – 8x + 6x^2
A. [x] -5x^2 – 8x + 2; quadratic trinomial
B. [] -5x^2 – 8x; quadratic binomial
C. [] -6x^2 – 8x – 2; cubic polynomial
D. [] -6x^2 – 8x + 2; cubic trinomial

2. A biologist studied the populations of black bear and brown bears over a 10 year period. The biologist modeled the populations, in thousands, with the following polynomials where X is time in years. What polynomial models the total number of brown and black bears?
Black bears: 2.3x^2 – 5.6x + 2.3
Brown bears: 2.4x^2 + 7.2x + 0.97
A. [x] 4.7x^2 + 1.6x + 3.27
B. [] 4.7x^2 – 1.6x – 3.37
C. [] 4.7x^2 + 1.6x – 3.37
D. [] 4.7x^2 – 1.6x + 3.37

3. A family is building a circular fountain in the backyard. The yard is rectangular and measures 7x by 6x and the fountain is going to be circular with a radius of 2x. Once the fountain is build, what will be the area of the remaining yard?
A. [] 38x^2
B. [x] 2x^2 (21 – 2pi)
C. [] 42x^2 – 2pix^2
D. [] 38pix^2

4. A family is building a new house on a rectangular lot of land. The lot measures 7x by 11x and the house will be 2x by 3x. How much land will be left for their yard after the house is built?
A. [] 77x^2
B. [] 83x^2
C. []40x^2
D. [x] 71x^2

5. (5h + 4)(3h + 6)
3h 6
5h
4

A. [x] 15h^2 + 42h + 24
B. [] 15h^2 – 42h + 24
C. [] 15h^2 + 18h – 24
D. [] 15h^2 – 18h - 24


6. (-2h + 4)(5h + 7)
5h 7
-2h
4

A. [] -10h^2 + 34h – 28
B. [x] -10h^2 + 6h + 28
C. [] -10h^2 – 6h +28
D. [] -10h^2 – 34h - 28

7. (4x - 4)(3x - 4) simplify the product using FOIL
A. [x] 12x^2 – 28x +16
B. [] 12x^2 – 4x – 16
C. [] 12x^2 + 4x – 16
D. [] 12x^2 + 28x +16

8. A sphere has a radius of 4x + 1. Which polynomial in standard form best describes the total surface area of the sphere? Use the formula S = 4(pi)r^2 for the surface area of a sphere.
A. [x] 64(pi)x^2 + 32(pi)x +4pi
B. [] 64(pi)x^2 + 16(pi)x + 64pi
C. [] 4(pi)x^2 + 16(pi)x + 4pi
D. [] 4(pi)x^2 + 4pi

9. What is a simpler form of the product? (5x – 3y^5)^2
A. [] 25x^2 – 15xy^5 + 9y^10
B. [] 25x^2 – 30xy^5 – 9x^10
C. [x] 25x^2 – 30xy^5 + 9x^10
D. [] 25x^2 + 9y^10

10. The area of a rectangular room is given by the trinomial x^2 + 4x – 12. What are the possible dimensions of the rectangle? Use factoring.
A. [] (x - 6) and (x - 2)
B. [] (x + 6) and (x + 2)
C. [] (x - 6) and (x + 2)
D. [x] (x + 6) and (x - 2)

11. The area of a rectangular garden is given by the trinomial x^2 + x – 30. What are the possible dimensions of the rectangle? Use factoring.
A. [] (x - 6) and (x - 5)
B. [x] (x + 6) and (x - 5)
C. [] (x + 6) and (x + 5)
D. [] (x - 6) and (x + 5)

12. X^2 – 10xy + 24y^2
A. [] (x + 6y)(x + 4y)
B. [] (x – 2y)(x + 12y)
C. [] (x + 2y)(x – 12y)
D. [x] (x – 6y)(x – 4y)


13. The area of a rectangular barnyard is given by the trinomial 6x^2 + 7x – 20. What are the possible dimensions of the barnyard? Use factoring.
A. [] 2x – 5 and 3x + 4
B. [] -2x + 5 and 3x - 4
C. [x] 2x + 5 and 3x - 4
D. [] 2x – 5 and 3x – 4

14. The area of a rectangular carpet is given by the trinomial 5x^2 – 3x – 14. What are the possible dimensions of the carpet? Use factoring.
A. [] (5x + 7) and (-x - 2)
B. [x] (5x + 7) and (x -2)
C. [] (5x - 7) and (x -2)
D. [] (5x - 7) and (x +2)

15. What is the factored form of the expression? R^2 – 49
A. [x] (r - 7)(r + 7)
B. [] (r + 7)(r + 7)
C. [] (r - 7)(r - 7)
D. [] (r - 7)(r + 9)

16. F(x) = 9x^3 + 2x^2 – 5x + 4 and G(x) = 5x^3 – 7x + 4.
What is F(x) – G(x)? Show all of your work and write your final answer in factored form.

Answer 2

so which number?

Answer 3

...im going to leave now

Answer 4

1) a

Answer 5

2)a

Answer 6

3)b

Answer 7

4)d

Answer 8

ur option are right up to 4th problem
can i verify all

Answer 9

5)A

Answer 10

6)B

Answer 11

I know the answers to them all, I want to know how they are right. And I need help on number 16. I got the answers for the others from my teacher. He wants to know how they were done, and I don't know. If you could help with that and helping answer number 16 that'd be great.

Answer 12

@dayakar