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(a) If we let x be the number of miles and y be the total cost, the equation for relating the number of miles and the total cost would be,
y = 0.4x + 48
(b) If the rental cost is 60,
60 = 0.4x + 48
The value of x from the equation is 30.
(c) You may prepare the table of values by allowing x be any number and then solve for y until we arrive with an answer for y being equal to 60.
Answer:
Step-by-step explanation:
the answer is 210 m (3)
Answer:
Yes, F is a continuous function of r
Step-by-step explanation:
We are given that
When r<R
![F(r)=\frac{GMr}{R^3}](https://tex.z-dn.net/?f=F%28r%29%3D%5Cfrac%7BGMr%7D%7BR%5E3%7D)
![r\geq R](https://tex.z-dn.net/?f=r%5Cgeq%20R)
![F(r)=\frac{GM}{r^2}](https://tex.z-dn.net/?f=F%28r%29%3D%5Cfrac%7BGM%7D%7Br%5E2%7D)
Where M=Mass of the earth
R=Radius of earth
G=Gravitational constant
We have to find the function is continuous of r or not.
LHL
![\lim_{r\rightarrow R-}\frac{GMr}{R^3}=\frac{GMR}{R^3}=\frac{GM}{R^2}](https://tex.z-dn.net/?f=%5Clim_%7Br%5Crightarrow%20R-%7D%5Cfrac%7BGMr%7D%7BR%5E3%7D%3D%5Cfrac%7BGMR%7D%7BR%5E3%7D%3D%5Cfrac%7BGM%7D%7BR%5E2%7D)
RHL
![\lim_{r\rightarrow R+}\frac{GM}{R^2}=\frac{GM}{R^2}](https://tex.z-dn.net/?f=%5Clim_%7Br%5Crightarrow%20R%2B%7D%5Cfrac%7BGM%7D%7BR%5E2%7D%3D%5Cfrac%7BGM%7D%7BR%5E2%7D)
![F(R)=\frac{GM}{R^2}](https://tex.z-dn.net/?f=F%28R%29%3D%5Cfrac%7BGM%7D%7BR%5E2%7D)
When a function is continuous at x=a
Then, LHL=RHL=f(a)
RHL==LHL=F(R)
Hence, the function is continuous of r.