Answer is slope of 5
Step by step
You can graph the slope as seen on the attached picture. You go up 30, you go right +6. Slope is y/x, so 30/6, equals 5
You can also use the slope formula
(y2-y1) over (x2-x1)
Using points on the graph
(6,0) and (0,-30)
(-30-0 ) over (0-6)
-30 over -6
-30/-6
= 5
27 1/5 + 2/6
\\Convert to like fractions:
= 27 6/30 + 10/30
\\Add the fractions
= 27 16/30
\\Simplify by dividing by 2
= 27 8/15
Answer: 27 8/15
Quadratic f(x) = (x -h)² +k has vertex (h, k) and axis of symmetry x=h. When k is negative, the number of real solutions is 2, because both branches of the function cross the x-axis.
In your equation, h = -3 and k = -8.
Axis of symmetry: x = -3
Vertex: (-3, -8)
Number of real solutions: 2
Answer: 54 mph
Step-by-step explanation:
d-the distance
s+9 - the speed to the conference
d=6*(s+9)
s- is the speed on the way back home
d=7*s
so 6*(s+9)=7*s
6s+54=7s
-6s -6s
54= 7s-6s
s=54 mph