Answer:
- width: 18 in
- length: 27 in
Step-by-step explanation:
The relations between length (L) and width (W) are ...
W +9 = L
LW = 486
Substituting gives ...
(W+9)W = 486
W^2 +9W -486 = 0 . . . put in standard form
(W +27)(W -18) = 0 . . . . factor
W = 18 . . . . the positive solution
The width of the rectangle is 18 inches; the length is 27 inches.
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<em>Comment on factoring</em>
There are a number of ways to solve quadratics. Apart from using a graphing calculator, one of the easiest is factoring. Here, we're looking for factors of -486 that have a sum of 9.
486 = 2 × 3^5, so we might guess that the factors of interest are -2·3² = -18 and 3·3² = 27. These turn out to be correct: -18 +27 = 9; (-18)(27) = -486.
It would be the letter A.
I hope this helps! <3
Answer: Domain = {-4, -1, 0, 2, 7, 8, 13}
The domain is the set of allowed x inputs. So all we do is list the set of x values in the top row of the table.
In contrast, the range is the set of possible y outputs. So the range would be {5,2,-3,7,4,9}. Any duplicate items in the range are tossed out. Optionally you can order the set from smallest to largest, but that's not required. This is because order in a set doesn't matter.
Answer:
113.1 inches squared
Step-by-step explanation: