Answer:
Part A) 
Part B) 
Step-by-step explanation:
Par A) Write an equation that relates the distance D this car travels in T hours
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form 
or 
The speed is a proportional relationship between the distance and the time
Let
D ----> the distance in miles
T ----> the time in hours
so
In this problem the constant of proportionality k represent the speed of the car in miles per hour
we have
substitute
Part B) Use the equation to find the distance the car travels between 3:30 p.m. and 5:00 p.m
we know that
The time between 3:30 p.m. and 5:00 p.m is equal to
5:00 p.m-3:30 p.m=1.5 hours
so
For T=1.5 h
substitute in the equation and solve for D
<h3><em>(HCF)=(36,60,84)</em></h3><h3><em>Factors of 36
</em></h3><h3><em>
</em></h3><h3><em>List of positive integer factors of 36 that divides 36 without a remainder.
</em></h3><h3><em>
</em></h3><h3><em>1,2,3,4,6,9,12,18,36</em></h3><h3>Factors of 60
</h3><h3>
</h3><h3>List of positive integer factors of 60 that divides 60 without a remainder.
</h3><h3>
</h3><h3>1,2,3,4,5,6,10,12,15,20,30,60</h3><h3>Factors of 84
</h3><h3>
</h3><h3>List of positive integer factors of 84 that divides 84 without a remainder.
</h3><h3>
</h3><h3>1,2,3,4,6,7,12,14,21,28,42,84</h3><h3 /><h3>We found the factors 36,60,84 . The biggest common factor number is the HCF number.
</h3><h3>So the highest common factor 36,60,84 is 12.</h3><h3><em>HOPE IT HELPS....</em></h3>
Answer:
I believe the points (0,-4) and (1,28) work. You can also use (0.125,0) if you can.
Answer:
g(x), and the maximum is 5
Step-by-step explanation:
for given function f(x), the maximum can be seen from the shown graph i.e. 2
But for the function g(x), maximum needs to be calculated.
Given function :
g (x) = 3 cos 1/4 (x + x/3) + 2
let x=0 (as cosine is a periodic function and has maximum value of 1 at 0 angle)
g(x)= 3 cos1/4(0 + 0) +2
= 3cos0 +2
= 3(1) +2
= 3 +2
= 5 !
