Answer:
Option 2: 14.06 minutes
Step-by-step explanation:
For the first scenario, we will convert the minutes into hours first to get all the quantities in same unit
So,
15 minutes = 1/4 hours = 0.25 hours
Speed = 7.5 miles per hour
Now using the speed, distance and time formula
Speed = distance/time
Distance = 1.875 miles
So the distance for 1st day is 1.875 miles.
For next day
Speed = 8 miles per hour
Distance = 1.875
So,
Converting the hours into minutes will give
0.234375 * 60 min = 14.0625 minutes
Rounding off to two decimals = 14.06 min
So 2nd option is correct..
Answer:
a) 
b) 
If we want to minimize the cost then we should rent the Acme Truck company.
Step-by-step explanation:
Assuming the following questions.
(a) Find the daily cost of leasing from each company as a function of the number of miles driven and sketch the graph of these functions.
For the Ace truck we know that leases its 10-ft box truck at $20/day and $0.50/mi. So then f(x) representing the daily cost is given by:
Where x represent the number of miles driven
For the Acme Truck we know that leases a similar truck at $15/day and $0.55/mi, so then the g*x( representing daily cost would be given by:
Where x represent the miles driven.
We can see the plot on the figure attached.
(b) Which company should you rent a truck from for 1 day if you plan to drive 70 miles and wish to minimize cost?
If we replace the value x=70 for both functions we got:
If we want to minimize the cost then we should rent the Acme Truck company.
Answer:
Answer: y = 5/3x - 4
Step-by-step explanation:
It is option D, "Line h has points on planes R, P, and T".
Answer:
(3f - 2)²
Step-by-step explanation:
Given
9f² - 12f + 4
Consider the factors of the product of the coefficient of the f² term and the constant term which sum to give the coefficient of the f- term.
product = 9 × 4 = 36 and sum = - 12
The factors are - 6 and - 6
Use these factors to split the f- term
9f² - 6t - 6t + 4 ( factor the first/second and third/fourth terms )
= 3f(3f - 2) - 2(3f - 2) ← factor out (3f - 2) from each term
= (3f - 2)(3f - 2)
= (3f - 2)²
