Answer:
Her mistake is on line 2, setting the equations equal to each other.
Step-by-step explanation:
It appears that she misunderstood the requirements of question: find the intersections of the graphs of the two equations. The first one is a quadratic equation, (mentally picture that as a parabola). The second equation is linear. (Mentally picture that as a straight line with a slope of -2) They should have 2 points of intersection. When she combined them, she created a new quadratic equation and solved to "find the zeroes" where the parabola intersects the x-axis.
The answer would be 504, because 126 x 4 = 504. Hope this helps :)
( - 1, - 8 )
since both equations give y in terms of x we can equate them
3x - 5 = 2x - 6
subtract 2x from both sides of the equation
3x - 2x - 5 = - 6
x - 5 = - 6
add 5 to both sides
x = - 6 + 5 = - 1
substitute x = - 1 into either of the 2 equations for y
y = (3 × - 1) - 5 = - 3 - 5 = - 8
solution to the system is (- 1, - 8 )
You're basically told that Lin has traveled 20% of 75. Since 20% is one fifth, she has traveled 75/5=15 miles so far.
Y > 5x + 5 . . . (1)y > -1/2x + 1 . . . (2)
Part A: The graph of the system are two straight dotted lines with the first line passing through points (-1, 0) and (0, 5) with the region above the line shaded and the second line passing through (0, 1) and (2, 0) with the region above the line shaded. The two lines intersect at point (-8/11, 15/11).
Part B: The point (-2, 5) is included in the solution area.5 > 5(-2) + 5 and 5 > -1/2(2) + 15 > -10 + 5 and 5 > -1 + 15 > -5 and 5 > 0
hope i helped