The graph below shows the solution to which system of inequalities
2 answers:
The answer is
the option A
<span>The graph shows the solution of the system of inequalities
y> -3
y<=-x
using a graph tool
see the attached figure</span>
the option A
<span>The graph shows the solution of the system of inequalities
y> -3
y<=-x
using a graph tool
see the attached figure</span>
Answer: The correct option is A.
Explanation:
From the given figure it is noticed that at y = -3 there is dotted line and the it shaded in upward direction.
Since it is a dotted line -3 will not included. It means it will take all value of y which are more than -3.
......(1)
The second line passing through the origin, slope is negative and change in y is same as change in x, therefore the equation of line is y = -x.
The line shaded downwards it means all the point in shaded region will satisfies the inequality.
The point (-5,1) is in shaded region. check this point for the line y=-x
We know that 1 is less than 5 and it is not a dotted line it means the sign of inequality is less than or equal to. so, the equation is,
Therefore, the correct option is A.
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Answer:
Step-by-step explanation:
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.
