We are given the following function:
We are asked to do the following tranformations:
1. Shift down 5 units and left 77 units.
First, to shift a function down a number "n" of units we follow the next rule:
And, to shift a function "m" units to the left we use the following rule:
Applying both rules simultaneously we get:
2. Reflect about the y-axis.
The rule to reflect a function about the y-axis is the following:
The means that we will change "x" for "-x" in the function we are going to reflect. Applying the rule we get:
3. Compress vertically by a factor of 2.
To compress a function vertically by a factor "m" we multiply the entire function by 1/m, like this:
Applying the rule we get:
And thus we get to the final function.
18 plus 12 divided by 2 = thats how u get the answer
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:
-3/4
Step-by-step explanation:
To find the slope of a line, you need to see how much it "rises" over a certain amount of "run". In other words, for a given amount of distance traveled along the x axis, how much it traveled vertically along the y axis. In this line, for every 4 units moved to the right, the line goes up by -3 units. Therefore, the slope of the line is -3/4. Hope this helps!
Answer:
The consecutive numbers are 80, 81, 82, 83