Concept explainers
A sports trainer has monthly costs of $69.95 for phone service and $39.99 for his website and advertising. In addition he pays a $20 fee to the gym for each session in which he trains a client. (See Example 11 )
a. Write a cost function to represent the cost
b. Write a function representing the average cost
for x sessions.
c. Evaluate
d. The trainer can realistically have 120 sessions per month. However, if the number of sessions were unlimited, what value would the average cost approach? What does this mean in the context of the problem?
Want to see the full answer?
Check out a sample textbook solutionChapter 3 Solutions
College Algebra
- Thank you.arrow_forwardThank you.arrow_forwardLet V, W, and Y be vector spaces. Suppose dim(V) dim(W) = dim(Y) = 2. = Let ("beta") be an ordered basis for V. Let ("gamma") be an ordered basis for W. Let ("zeta") be an ordered basis for Y. Suppose S is a linear transformation from V to W and that T is a linear trans- formation from W to Y. Remember that ToS is the function from V to Y defined by (TOS)(v) = T(S(v)). (a) Prove that To S is a linear transformation. (b) Prove that ° [T • S] = [T]{[S]}.arrow_forward
- Let W={(0, a, 0) | a Є R}. (a) List four elements from W. (b) Determine whether W is a subspace of R³, and prove that your answer is correct.arrow_forwardFor this problem, refer to the network as shown in Figure 1, answer the following questions. B A C FIGURE 1. For Problem (7). Let x₁ be the number of users at website A. Let x2 be the number of users at website B. Let x3 be the number of users at website C. Assume that there are a total of 900 users at these three websites. This gives us the following system of linear equations: x1 = x2 + 1x3 x2 = x1 + x3 x3 = x2 = 900 x1 + x2 + x3 = (a) Put this system into a standard form (with all variables on the left side and with the constants on the right), and convert that system into an augmented matrix, and then... (b) Use elementary row operations to put the augmented matrix into reduced row echelon form, and then... (c) Write down the solution space for this system of equations, and then... (d) Identify which website(s) would be ranked most highly by PageRank.arrow_forward4 2 Let C = -6 -3 (a) Find det(C). (b) Use your answer for (a) to determine whether C is invertible.arrow_forward
- 26 5G II. 8:44 ☐ myportal.aum.edu.kw ENGLISH العربية RH Problem 2 [20 points]: Find the Reduced Row 1 4 7 Echelon Form of the matrix -1 0-1 3 04 Problem 3 [30 points]: Consider the following linear system: x+2y=1 -2x+2my=0 a) Write the linear system in the matrix form: A.X=b. b) For m=1, find the inverse of A, using the definition of the inverse. In this case, deduce the solution of the system. c) Use the definition of the inverse to find the values of m for which A is not invertible. 7 A▾ III G B I Ff▾ < ↑arrow_forwardI want a mathematical relationship with all the details, not explanations and definitionsarrow_forward4 sinx cos2x+4 cos x sin2x-1=0arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
- Intermediate AlgebraAlgebraISBN:9781285195728Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage LearningAlgebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell