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

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

since

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

thank you steve!

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

ez thx steve

good stuff my brother

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

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)

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.

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

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:

![image.png](attachment:image.png)