4 The characteristic polynomial of A = 4 1 2 is p(x) = (x+3)²(x − 6). 2 -2 (a) Give the eigenvalues of A and determine the eigenspace associated with each eigenvalue. (b) Find a nonsingular matrix P and a diagonal matrix D such that P-¹AP = D.

Q: Your cellphone plan costs 999/month and gives you unlimited text and 100 minutes of calls per month,…

A: here total minutes per month = 141 minute  plan for 100 minutes per month cost 999/month  and extra…

Q: Round the following amounts to the nearest cent: a. $30.878 b. $13.031 c. $50.99708

A:

Q: what value of x does function f have the given value?  Let f(x) = 7/2x-6  f(x)=2/3

A: Given query is to find the value of x

Q: a car salesman, Henry earns $300 each week plus a 3% commission on each car he sells. Write an…

A: Topic:- algebra

Q: 1. Which of the following has an asymptote and which has a hole? Why? (Hint: Use desmos and look at…

A:

Q: Which equation is used to solve for the measure of 0?* 10 A B

A:

Q: x dx x²+√√x²-1 The integral - (A) fse B Se Ⓒ / Ⓒ / cost sece tane de sece - 1 sec²0 de 1 + tan sino…

A: We have determine above integral

Q: The function f is given by f(x) = 100. 3. Select all equations whose graph meets the graph of f for…

A: I have solved all the equations in detail...go through the solution

Q: A line is defined by the equation f(x) = 2x - 3. 1. Line m is the same as line 1, but shifted 1 unit…

A:

Q: ten

A: We will solve the problem.

Q: 1. Create a connected graph having 8 vertices and 15 edges. 2. Label vertices with A,B,C,D,E, F,G…

A:

Q: Note: Enter your answer and show all the steps that you use to solve this problem in the space…

A:

Q: Given an n x n matrix A and a scalar A. Select all of the following statements that are equivalent…

A:

Q: The organizer of a conference is selecting workshops to include. She will select from 7 workshops…

A: She has to select 6 workshops where atleast 5 must be about music. She can do it 2 way, i. she…

Q: Find the inverse of f(x) = 3√x + 5. The inverse is g(x) = where > 5.

A: Inverse of function

Q: For this problem, identify the Givens the Goal. Form a strategy, solve, check, and write answer in a…

A: Topic:- algebra

Q: A pedestrian walks at a rate of 6 km per hour east. The wind pushes him northwest at a rate of 13 km…

A: We can find the answer as below

Q: Q1) In a ring Z, find the least common multiple of {2,3,8,12}.

A:

Q: n/x-6 = √ √x + 6 be se 6 be How can O2y + x = -10 3y + x = 18 O 2y + 2x = -10 3y + 3x = 18 O2y-x=-10…

A: Equate both the expressions in x to y to get the system of equations.

Q: Simplify the expression. 4/8+ 3/8 =

A: We want to simplify the given expression.

Q: 6. If A is an nxn matrix whose LU decomposition is PA = LU, , prove that det(A) = (-1)' u₁₁ U 22.²…

A:

Q: 2. Erica changed y = 2x² + 5x - 7 into vertex form. Explain each step in her solution below. y =…

A: We will carefully observe all the steps first and explain it.

Q: Find the slope-intercept form of the equation of the line that has the given slope m and passes…

A: Given that a line passes through the point (0,-3) with slope m=4.  We have to find the slope…

Q: -3 x - -3 x -9 x - бу + + 6y + + 6y + 3z 3 z hz -4 4 k

A:

Q: I want to buy clothes and resell them for profit. It costs $10 to buy one jacket and $6 for one…

A: The given problem has been solved using graphing method.

Q: Direction: Solve each triangle. (If answers are not exact, round off to the nearest hundredth.) C 2.…

A: As per the company's guidelines, we are supposed to answer only first three subparts. Kindly repost…

Q: The function f is given by f(x) the graph of f for a positive value of x. A: y = 10. e y = 500. e y…

A: We will solve the problem

Q: This refers to the number of edges incident to a particular vertex. Answer:

A: Explanation of the answer is as follows

Q: Christian has 72 m of fencing and wants to create a garden with two equal sized sections. The area…

A: The area of a garden is represented by A=-1.5 w2+36w

Q: Amy bought a new car for $34,000$⁢34,000. She paid a 20%20% down payment and financed the remaining…

A: We have to find the monthly installment value

Q: 28) An animal pen is in the shape of a triangle. One of the interior angles of the triangle is 40°.…

A: Given problem:- 28) An animal pen is in the shape of a triangle. One of the interior angles of the…

Q: Solve for all values of x. x + x X -2 2 x-2

A: Given query is to find the value of x.

Q: Answer the questions below. (a) The 9 members of a fraternity have the following test scores: 119,…

A: Here to answer these question we should know the concept of mean, mode and median.

Q: Find the slope of the line graphed below. Check

A: Use slope formula for the given point in the graph

Q: An online furniture store sells chairs for $200 each and tables for $650 each. The store must sell…

A:

Q: Recreate the following image but with a slice of standard size of pizza ( 3 inches wide and 6 inches…

A:

Q: 2. Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} Y = {y|y= 2x, x € Z} Enumerate: a.) X - Z b.) Xu (YnZ) X…

A:

Q: Solve for all values of x: 1 x-5 +3 5x x - 5

A:

Q: Use the concepts of Fibonacci sequence and Golder on the following items. 1. Determine the value of…

A:

Q: At the end of the second week after opening, a new fitness club has 870 members. At the end of the…

A:

Q: price of a ular payment amount. Complete parts (a) through (e) below. PMT= a. Find the required down…

A: price of a condominium =$101,000 down payment rate=5%

Q: find all zeros. f (x) = x^3 + 9x^2 + 25x + 25

A: We can find the Zeros of the given function. Note that if ax2+bx+c=0 then x=-b±b2-4ac2a.

Q: 2. Is the function given by f(x) = 3x - 2 continuous at x = 5? Why or why not?

A: Is the function given by f(x) = 3x - 2 continuous at x = 5?

Q: 5 y = f(x) 5 5 domain range X Use the graph to find the indicated function values. (a) (-1)= (b)…

A:

Q: A 7-sided die with faces labeled 1 to 7 will be rolled once. The 7 possible outcomes are listed…

A: We have to find the outcomes and probability.

Q: Let A be a 3x3 invertible matrix. The reduced row-echelon form of A is obtained by performing the…

A:

Q: If a graph has 8 vertices, then what is its order? Answer:

A: We have given a graph which has 8 vertices. We know that  Order of a graph is cardinality of…

Q: Determine if p = 1 – 3k and q = 61 − 3j - 4k are parallel, orthogonal or neither.

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: 1. Verify the Cayley-Hamilton Theorem for the matrix 2 - 23 33] - -2

A:

Q: Combining Like Terms Identify and combine the Like Terms. -6w+4w 2w - w= - 9f2 +5f +8f2+f³ - f =…

A: Take out the common terms from given expression.