Which equation has exactly one solution?
2 answers:
You might be interested in
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.
_____
<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.
Answer:
The shortcuts is
Divide number of units by 100
Step-by-step explanation:
From the question we are told that
insulin u-100 is
From the data given above we see that
100 units of insulin u-100 is contained in 1 mL
So 1 unit of u-100 is contained in x mL
=>
This means that a unit of insulin u-100 occupies
So we can represent a single unit of insulin u-100 as
Now if 1 unit of insulin u-100 is represented as
Then y unites of insulin u-100 is represented as z
So
From the above calculation we can see that the shortcuts to convert u-100 insulin given in units, to mL is to divide number of units by 100