Answer:x =2
Step-by-step explanation:
Since the discriminant is positive, this means we have two distinct real solutions.
If a, b, and c are rational numbers, then a discriminant of D = 40 indicates the two solutions are not rational. We would need D to be a perfect square to get two rational solutions.
Answer:
width: 5.5 yd; length: 8 yd
Step-by-step explanation:
Let w represent the width of the rectangle in yards. Then 2w-3 is the length and the area is the product of length and width:
w(2w-3) = 44
2w^2 -3w -44 = 0 . . . . put the equation into standard form
(w+4)(2w -11) = 0 . . . . . factor the equation
w = -4 or 11/2 . . . . . . . . the negative solution is extraneous
Then the length is 2·(11/2) -3 = 8.
The width of the rectangle is 5.5 yards; the length is 8 yards.
Answer:
-41
Step-by-step explanation:
Use 2 points to find the equation of the line using the 2-point form of the equation of a line. Then we write the equation in the slope-intercept form to find the y-intercept.
We can use points (-36, -117) and (-27, -98), so
x1 = -36
x2 = -27
y1 = -117
y2 = -98
The y-intercept is -41.
.85*36,000=30,600
30,600*0.09=2754
30,600-2754=$27,846
