a.
To write a function that shows the cost of renting a car from Proxy rental company.
The function
Given:
Given that the Proxy car rental company charges
Calculation:
Suppose that the rented car is driven for
Then, the amount charged by the company for the distance travelled:
It is given that the company charges
Then, the total amount charged by the company:
Define the function
Then, the function
Conclusion:
The function
b.
To write a function that shows the cost of renting a car from YourPalrental company.
The function
Given:
Given that YourPal rental company charges
Calculation:
Suppose that the rented car is driven for
Then, the amount charged by the company for the distance travelled:
It is given that the company charges
Then, the total amount charged by the company:
Define the function
Then, the function
Conclusion:
The function
c.
To determine which company offers the best deal for an
The amount charged by the Proxy rental company for a trip of
The amount charged by the YourPal rental company for a trip of
It is clear from the figures that the Proxy rental company offers a great deal since they cost only
Calculation:
Find the amount charged by the Proxy rental company:
It is found in part a that the function
Thus, the charge on driving a car for
Find the value of
Thus, the amount charged by the Proxy rental company for a trip of
Find the amount charged by theYourPal rental company:
It is found in part b that the function
Thus, the charge on driving a car for
Find the value of
Thus, the amount charged by the YourPal rental company for a trip of
Conclusion:
The amount charged by the Proxy rental company for a trip of
The amount charged by the YourPal rental company for a trip of
It is clear from the figures that the Proxy rental company offers a great deal since they cost only
Chapter 2 Solutions
EP ALGEBRA 2-COMMON CORE-ONLINE ACCESS
- For each graph below, state whether it represents a function. Graph 1 24y Graph 2 Graph 3 4 2 -8 -6 -4 -2 -2 2 4 6 Function? ○ Yes ○ No ○ Yes ○ No Graph 4 Graph 5 8 Function? Yes No Yes No -2. ○ Yes ○ No Graph 6 4 + 2 4 -8 -6 -4 -2 2 4 6 8 Yes -4++ Noarrow_forwardPractice k Help ises A 96 Anewer The probability that you get a sum of at least 10 is Determine the number of ways that the specified event can occur when two number cubes are rolled. 1. Getting a sum of 9 or 10 3. Getting a sum less than 5 2. Getting a sum of 6 or 7 4. Getting a sum that is odd Tell whether you would use the addition principle or the multiplication principle to determine the total number of possible outcomes for the situation described. 5. Rolling three number cubes 6. Getting a sum of 10 or 12 after rolling three number cubes A set of playing cards contains four groups of cards designated by color (black, red, yellow, and green) with cards numbered from 1 to 14 in each group. Determine the number of ways that the specified event can occur when a card is drawn from the set. 7. Drawing a 13 or 14 9. Drawing a number less than 4 8. Drawing a yellow or green card 10. Drawing a black, red, or green car The spinner is divided into equal parts. Find the specified…arrow_forwardAnswer the questionsarrow_forward
- Solve the problems on the imagearrow_forwardAsked this question and got a wrong answer previously: Third, show that v3 = (−√3, −3, 3)⊤ is an eigenvector of M3 . Also here find the correspondingeigenvalue λ3 . Just from looking at M3 and its components, can you say something about the remaining twoeigenvalues? If so, what would you say?arrow_forwardDetermine whether the inverse of f(x)=x^4+2 is a function. Then, find the inverse.arrow_forward
- The 173 acellus.com StudentFunctions inter ooks 24-25/08 R Mastery Connect ac ?ClassiD-952638111# Introduction - Surface Area of Composite Figures 3 cm 3 cm 8 cm 8 cm Find the surface area of the composite figure. 2 SA = [?] cm² 7 cm REMEMBER! Exclude areas where complex shapes touch. 7 cm 12 cm 10 cm might ©2003-2025 International Academy of Science. All Rights Reserved. Enterarrow_forwardYou are given a plane Π in R3 defined by two vectors, p1 and p2, and a subspace W in R3 spanned by twovectors, w1 and w2. Your task is to project the plane Π onto the subspace W.First, answer the question of what the projection matrix is that projects onto the subspace W and how toapply it to find the desired projection. Second, approach the task in a different way by using the Gram-Schmidtmethod to find an orthonormal basis for subspace W, before then using the resulting basis vectors for theprojection. Last, compare the results obtained from both methodsarrow_forwardPlane II is spanned by the vectors: - (2) · P² - (4) P1=2 P21 3 Subspace W is spanned by the vectors: 2 W1 - (9) · 1 W2 1 = (³)arrow_forward
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