Question

Choose a quadratic inequality that satisfies the following conditions.

All the values of a, b, and c of the quadratic expression are negative, and the value of its quadratic expression is at most 20.

Answer 1

1. Choose a quadratic inequality that satisfies the following conditions.
All the values of a, b, and c of the quadratic expression are negative, and the value of its quadratic expression is at most 20.


A. −2x^2−x−5<20
B. 2x^2−x−5≤20
C. 2x^2−x−5<20
D. −2x2−x−5≤20

Answer 2

1.
creator: John Wronn

A small rectangular city park has a width of 110 feet and a length of 270 feet. The city wants to make the park larger by adding x feet to its width and 2x feet to its length. The total area needs to be no more than 30,000 square feet. Which inequality should be used to find all values of x? Remember that the area, A, of a rectangle is given by the formula
ℎA=bh where b is the base and h is the height.
A. (110+x)(270+2x)≤30,000
B. (110+x)(270+2x)≥30,000
C. (110+2x)(270+x)≥30,000
D. (110+2x)(270+x)≤30,000

Answer 3

One possible quadratic inequality that satisfies the given conditions is:

-9x^2 - 5x - 6 ≤ 20

Answer 4

The correct answer is C. 2x^2−x−5<20.

Answer 5

The correct inequality to find all values of x in this scenario would be D. (110+2x)(270+x)≤30,000.