Answer:
12 gallons
Step-by-step explanation:
Since this is a return journey then total distance = 2 × 216 = 432 miles
Dividing the distance by 36 gives gallons required
number of gallons = 
= 12
Answer:
x= -1
Step-by-step explanation:
if
f(x) = -x-3
and
f(x) = -2
than
-x-3 = -2; add 3 to both sides
-x-3+3 = -2+3
-x = 1 ; multiply both sides by -1
x= -1
Answer:
y - 12 = -3 (x - 6)
y = -3x +6
6 minutes
The delivery times decreased by 3 minutes each day
Step-by-step explanation:
Point Slope:
Let's pick a point first (6,12)
The Slope of the line is -3
y - y1 = m (x - x1)
y - 12 = -3 (x - 6)
Slope-intercept:
The y-intercept is not shown on the graph but we can turn the point slope form of the equation to slope-intercept
y - 12 = -3x + 18
y = -3x +6
y-intercept:
y = mx + b
y = -3x + 6
m = 6
6 minutes
Slope:
we already know the slope is 3
The delivery times decreased by 3 minutes each day
2x^2 - 5x + 12 = 0
Factoring out the leading coefficient:
2(x^2 - 5/2 x) + 12 = 0
Completing the square:
2[(x - 5/4)^2 - 25/16] + 12 = 0
2(x - 5/4)^2 - 25/8 + 12 = 0
2(x - 5/4)^2 + 71/8 = 0
q = 71/8
