Answer:
Let x = the number
A negative number is 42 less than its square ⇒
x = x2 - 42
x2 - x - 42 = 0
(x - 7)(x + 6) = 0
x = 7 or -6
But since it is given that x is negative, the final answer is x = -6.
I’m not 100% sure I’m correct on this but when she started at 12,584 miles, her tank was full. After driving, it was at 12,584 miles which is a difference of 208 miles. So if you put that into a fraction: it would be 31.12 dollars/208 miles, Which means every 31.12 dollars spent, she is able to drive 208 miles. Now all you need to do is simplify that. If you divide 31.12 by 208, you get around .149. That rounded would be about .15 gallons of gas. So every (and I don’t know if t tells you to round or not so be careful on that) .149 dollars, (not 149, it’s .149) she goes one mile.
1) Graph a straight segment that starts at the point (0, 1000) and (200/13 , 0)
That segment is in the first quadrant and is like a ramp going downward from left to right.
2) a) slope = - 65 is the change in y (the # of miles remaiing) per miles run (change in x). It is negative because when the Vieras have increase the distance run (x), the distance remaining (y) decreases.
b) the y - intercept (1000) representes the distance from the starting point (Philadelphia) fo the destiny (Orlando), i.e. the distance in miles remaining before departing (when x =0).
