The set is a basis of the space of upper-triangular 2 × 2 matrices. [21] 0 -8 Find the coordinates of M = [M] B = with respect to this basis. { B = 31.68 -2]}

Q: Yis inversely proportional to the square of x. True or False: If Y = 6 when x = 3, then Y= 3, when x…

A:

Q: Multiply. (9+4i)(7-5i) Use the FOIL method to identify each term that results from multiplying…

A: Given that,        (9+4i)(7-5i) We will use the FOIL method to find the above product,         First…

Q: 4. Lines rands are parallel, what is the value of x? A. x = 11 B. x = 12 C. x = 13 D. x = 14 (12x-4)…

A: Consider the given figure :

Q: WHOLE NUMBERS Order of operations with whole nun Evaluate. 8+3^(2)*7

A:

Q: Caesar answered 20 out of 25 questions correctly. What percentage of the questions were correct

A:

Q: In the game of poker played with an ordinary deck of 52 cards various five-card holdings are given…

A:

Q: Are all rational numbers integers? Explain and provide examples.

A:

Q: Find the future value for the annuity due with the given rate. Payments of $1100 for 7 years at…

A: Future value of annuity due is calculated using the formula:FVAdue=P1+iknk-1×1+ikik…

Q: 8) Triangle ABC has vertices at (-21), (04), and (3-1). Find its area. 3 -2 5 m *

A: Given query is to find the area .

Q: The length of a rectangle is the sum of the width and 3. The area of the rectangle is 40 square…

A: Here is the solution:

Q: Find the least common denominator of 7 1 2x 6 and 2x 7x-21

A: To find the least common denominator of 12x-6 and 2x7x-21.

Q: A retail chain will buy 700 cordless phones if the price is $30 each and 400 if the price is $60. A…

A:

Q: landscape installer can install a certain number of square feet of lawn, including sprinkler lines…

A:

Q: 1 −1] If A = 0 -4 -1 and B = 3 -1 AB= -688- BA= Choose and ✓ True or False: AB = [2 0 - 1 -2, then…

A:

Q: The trajectory of a projectile launched from the origin at an initial speed of v at an angle of 0…

A: Given that, u= 80 (ft)/s and θ = 60°   Then, x= ucosθ ×t   => x= 80cos(60*pi/180) × t   => x=…

Q: 6 Compute the orthogonal projection of 7 = -7 onto the line L through-4 and the origin. 10 --H…

A:

Q: Consider the equality xy = k. Write the following inverse proportion: yis inversely proportional to…

A:

Q: 3x lim x-2x² + 2

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Solve the system 3 -6-3 [³] [] Give your solution in real form. Z1 (4cos(31)-28sin(3t)) Z2…

A: The given system of differential equation is: dxdt=33-6-3x

Q: Let V be the space spanned by the two functions cos(t) and sin(t). Find the matrix A of the linear…

A: We can solve this as follows:

Q: 1. What is the midline of the function graphed below? 2 1- -0.5 0 --0:5 -1- 2 3 4

A: Equation of midline : the which decides the graph into two equal parts.

Q: Prove that "Co "C₁ "C₂ + 22 3² 1 ... + (-1)". 1 n+1 "C₁ (n + 1)² 1 + 1 1 2 + 3 + + 1 n+1

A:

Q: Assume the entire graph is shown in the figure below. f(x) !!!! 2 (a) Estimate the domain. The…

A:

Q: 3. How many strings of 7 lowercase English letters are there if: (a) no letter can be repeated? (b)…

A:

Q: Use the shell method to write and evaluate the definite integral that represents the volume of the…

A: Given that:  y= 1/x and we  find volume (v) use shell method.         Here i attached the solution…

Q: 1) Determine the truth value of each proposition. Justify your answers. (a) 3x E R such that x³ + 3…

A:

Q: -3x +4y by replacing x with 0.3 and y with 0.25

A: By using algebraic properties

Q: Let e₁ = (1,0), e2 = (0, 1), №1 = (8, −1) and №₂ = (4, 4). Let T: R² → R² be a linear transformation…

A:

Q: Use the functions f(x)=x²-3, g(x) = x + 6, and h(x): the table. 54. X 5 7 9 11 13 g(h(x)) 55. X -6…

A:

Q: The area of the region that is inside the cardioid r = 8(1 - sin ) and inside the circle r = 8 is…

A:

Q: Solving a Manuel is going to rent a truck for one day. There are two companies he can choose from,…

A: Given that , Company A charges $98 and allows unlimited mileage. Company B has an initial fee of $65…

Q: LT 6: I can calculate and interpret the average rate of change of a function on an interval. The…

A: Given table years0510expenditure110014501750

Q: The function f(x) = x+21 X-7 is one-to-one. For the function, a. Find an equation for f '(x), the…

A:

Q: Find the ratio in lowest terms of length to width for a rectangle with length 4 and width 6

A:

Q: 3. Which statement is true given the two equations? 2(3x+5)=2-6(2-x) 2x²-23 = -5 A. Both equations…

A:

Q: List all possible values of B that make this expression factorable. (Use the AC method and give your…

A:

Q: You make an offer of $324,000 on a house and it is accepted. You receive a loan of 6.5% for 30…

A: You make an offer of $324,000 on a house and it is accepted. You receive a loan of 6.5% for 30…

Q: 1 0 Span 1 2 -3 N -2 -2 5 3 -2 2 9 3 I[s -2 4 0

A: The given spanning set in ℝ5is span10-12-3, -2-25-29, 0-2306, -1-2406. We have to find the dimension…

Q: 4. There is two-thirds of a cup of sugar for every two cups of flour in a cookie recipe. If the…

A: The given data is:  There is two-third of a cup of sugar for every two cups of flour in a cookie…

Q: Write an equation of the line below. 0 0=0 X 00

A:

Q: 1 -3 -3 3 following set of ectors is dependent or independent. You can select always, hever, a 7,…

A:

Q: Michael invests $2000 in the bank at a rate of 5.5% for 6 years how much interest will he make?

A:

Q: Determine the number of solutions for each system. Then state whether the system of equations is…

A:

Q: Find the angle that the vector v = 5ij makes with the vector i (assume it is = measured in the…

A:

Q: The table below shows some input-output pairs for an exponential function f. I 0 24 6 f(x) 48 108…

A: According to question, Given table, x 0 2 4 6 f(x) 48 108 243 546.75

Q: So If Sonic's Goal Is To Collect 300 Coins. He Already Has 225 Coins From Running Around The Course.…

A:

Q: Graph the quadratic function f(x)=x2−14x+45. Give the​ (a) vertex,​ (b) axis,​ (c) domain, and​ (d)…

A:

Q: An investing group has $50,000 to invest. They put the money in an account that has an annual…

A: Note:- By the guideline we can do maximum 1 question so i am solving first question here.

Q: lf T : R³ → R³ is a linear transformation such that then T T (E)-B (8) - ()-E] = T 3 3 0-8 = T

A:

Q: Given the formula for a geometric sequence, find the 8th term of the sequence: a = 4"-1

A: Given;  an=4n-1.