A) Point B(60,96)
B)i. 315 mins (or 5.25 hours [or 5 1/4 hours])
ii. Ended at coordinates (105,168)
C) it travelled a distance of the origin to coordinates (45,72). It travelled 45 in the x direction and 72 in the y direction.
C is confusing question. Assuming that means after it stopped and continued again, the last leg of the journey was just the slope 72/45; or
First find the slope
Slope=rise/run
Slope=8/5
During 15 mins the robot goes at the slope of 8/5.
3 hours is 180 mins.
180/15=12
8/5*12=96/60
Remember!! Slope=rise/run, now UNDO it
96/60 (undo it) becomes point B (60,96)
An additional 3/4 of slope 96/60 is:
(96/4)*3=72
(60/4)*3=45
72/45=3/4 of 96/60
Dividing 72 by 45 and 96 by 60 will yield the same number (therefore the slope is the same therefore that checks that this is correct)
The time is took to do 96/60 was 3 hours, or 180 mins. (180/4)*3=135
The new total time of journey is 180+135=315 mins
Final location is just adding (45,72) and (60,96) to get (105,168)
Answer:
k = 77
Step-by-step explanation:

Answer:
f(0) = 2
Roots are;
-2 and -1
Step-by-step explanation:
F(0) simply refers to the y-values when x = 0
This is the point at which the graph crosses the y-axis
the value here is 2
To
find the roots of f(x) , we simply find the points at which the plot crosses the x-axis
we have this at x = -2 and x = -1
These are what represents the roots of the equation
Answer:
mean: 19
median: 22
mode: 5
range: 30
Step-by-step explanation:
hope this helps :)
Multiply $115.74 by .7 (.7 = 70%) then add that to $115.74 to get the total.