Answer:
10.4 miles
Step-by-step explanation:
Write an equation for the total cost paid as a function of the # of miles driven:
L(x) = $6.75 + ($3.20/mile)x
and set this equal to $40.03 to determine the # of miles Lupita rode:
L(x) = $6.75 + ($3.20/mile)x = $40.03
Isolate the x term by subtracting $6.75 from both sides:
 ($3.20/mile)x = $40.03 - $6.75 = $33.28
Finally, divide both sides by  ($3.20/mile):
x = $33.28 /  ($3.20/mile)
   =  10.4 miles
Lupita rode 10.4 miles in the taxi.
 
        
             
        
        
        
Answer:
Step-by-step explanation:
A) rational because it’s a fraction 
B) rational because it’s a fraction 
C) irrational because it’s never ending
 
        
             
        
        
        
Answer:
f(x)=56
Step-by-step explanation:
2(24)+8=56
 
        
             
        
        
        
Answer:
b. 1/2
Step-by-step explanation:
lim        (x -3)(x +2) 
x-->-∞    ---------------
               2x^2 + x +1 
= lim        (x^2 -3x +2x - 6) 
x-->-∞    -----------------------
               2x^2 + x +1 
= lim        (x^2 -x - 6) 
x-->-∞    -----------------------
               2x^2 + x +1 
When we plug in x = -∞, we get indeterminate form.
Now we have to use the L'hospital rule.
d/dx (x^2 - x - 6) = 2x -1
d/dx (2x^2 + x + 1) = 4x + 1
Now apply the limit
lim            (2x - 1) / (4x + 1)
x--->-∞ 
Here we have to degree of the numerator and the denominator of the same. In this case, if x --> -∞, we get the result as the coefficient of the leading term as the result.
According to the rule, we get
= 2/4
Which can simplified as 1/2
The answer is 1/2
Hope this will helpful.
Thank you.