Alex, Mark & Peter share some money in the ratio 4 : 7 : 1. In total, Alex and Peter receive £60. How much does Mark get?
1 answer:
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Answer:
See below
Step-by-step explanation:
This graph could describe a relay race.
Jamie writes a scenario that can be modeled by the piecewise function on the graph.
The graph has time, in minutes on the x-axis and the distance, in miles on the y-axis.
The first part of the graph is the line starting from the origin through to the point (12, 1) then the second part starts from the point (12, 1) and ends on the point (20, 2).
1. A runner begins the race and runs at a steady pace for 1 minute.
- This is incorrect as describes the wrong axis.
It should say: a runner begins a race and runs at a steady pace for 12 minutes, completing 1 mile distance.
<u>The equation for this part:</u>
- y = mx + b
- b = 0 as it starts at origin.
- m = 1/12
- y = 1/12x
- x = [0, 12], y = [0, 1]
2. His partner then takes over and runs at a steady, but faster, pace for another 1 minute.
- Again, as above, wrong axis is described.
It should say: his partner then takes over and runs at a steady, but faster, pace for another 8 minutes, completing the last 1 mile of the race.
<u>The equation for this part:</u>
- b =1, as a starting point
- m = (2-1)/(20-12) = 1/8
- y = 1/8x + 1
- x = (12, 20], y = (1, 2]
A graphing calculator shows the rocks are at the same height 1.5 seconds after they are released.
That height is 3.975 meters.
_____
f(x) = g(x)
-4.9x^2 +15 = -4.9x^2 +10x
15 = 10x . . . . . . . . . . . . . . . . . . add 4.9x^2
1.5 = x . . . . . . . . . . . . . . . . . . . divide by 10
f(1.5) = -4.9*2.25 +15 = 3.975
That height is 3.975 meters.
_____
f(x) = g(x)
-4.9x^2 +15 = -4.9x^2 +10x
15 = 10x . . . . . . . . . . . . . . . . . . add 4.9x^2
1.5 = x . . . . . . . . . . . . . . . . . . . divide by 10
f(1.5) = -4.9*2.25 +15 = 3.975