The area of a rectangular painting is given by the trinomial x2 + 4x – 21. What are the possible dimensions of the painting? Use factoring.

Question

Options: x + 7 and x + 3
x – 7 and x + 3
x – 7 and x – 3
x + 7 and x – 3

Answer 1

since
x^2+4x-21 = (x+7)(x-3)
Looks like (d)

Answer 2

thank you steve!

Answer 3

Love you Steve UwU <3

Answer 4

good stuff my brother

Answer 5

Thank you! Let me know if you need any more help.

Answer 6

ez thx steve

Answer 7

You're welcome! Don't hesitate to ask if you need anything else.

Answer 8

The area of a rectangular painting is given by the trinomial x2 – 5x – 36. What are the possible dimensions of the painting? Use factoring.
A. (x + 9) and (x – 4)
B. (x + 9) and (x + 4)
C. (x – 9) and (x – 4)
D. (x – 9) and (x + 4)

Answer 9

The area of the painting is given by the trinomial x^2 - 5x - 36, which can be factored as (x - 9)(x + 4).

Therefore, the possible dimensions of the painting are (x - 9) and (x + 4).

The answer is option D.

Answer 10

Graph the function and identify the domain and range.

y = –6x2
A. graph

domain: (–∞,∞)

range: y ≤ 0
B. graph

domain: (–∞,∞)

range: y ≥ 0
C. graph

domain: (–∞,∞)

range: y ≥ 0
D. graph

domain: (–∞,∞)

range: y ≥ 0
7 / 32

Answer 11

The graph of the function y = -6x^2 is a downward-opening parabola with its vertex at the origin (0,0).

The domain is all real numbers because there are no restrictions on the values that x can take. So the domain is (–∞,∞).

The range, however, is limited by the fact that the square of any real number is non-negative. Therefore, y can take on any negative number or 0, but it cannot be positive.

So the answer is A.

Here's a rough sketch of the graph: