1. Write down the roots of the following equations (a) r² +4=0. (b) 4r² +9=0, (c)² + 3r=0, (d) r¹-1=0 2. Find the roots of the following equations:

Q: 1. When using the quadratic equation to solve, a negative value inside or under the radical…

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Q: Let A be a matrix with singular values {1, 2, 3,..., 2022}. Find the singular values of the matrix…

A: Given,     A = [ 1, 2, 3, 4, . . . . . . , 2022]

Q: A subspace of a vector space Vis any subset that is closed under addition and scalar multiplication.…

A: Solution : Given statement is False

Q: Consider the following rational functions. 2x+2 x²+2x-3 8 x+50+4 Choose the graph of each function…

A: f(x)=2x+2x2+2x-3  -  Graph A

Q: Find all distinct (real or complex) eigenvalues of A. Then find a basis for the eigenspace of A…

A: Solution: To find the eigenvectors η.solve A-λIη=0 for each eigenvalue λ

Q: Use the quadratic formula to find the exact solution to the given equation. (Enter your answers as a…

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Q: Suppose that f is a linear function with slope -3.6 and that f(2) = 4. What value of x gives f(x) =…

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Q: A group of friends wants to go to the amusement park. They have no more than $65 to spend on parking…

A: Given that , Parking cost = $9.75 Tickets cost per person = $16.25 Find the number of people who can…

Q: According to a study, 36% of experienced file-sharers with broadband access had decreased their…

A: Given that      36% of experienced file-sharers with broadband access had decreased their spending…

Q: For each equation, choose a divisor that is an integer. Then create an equivalent linear system b…

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Q: 5 cm K 0 10 cm M In the diagram, JKL and NLM are straight lines. cos 8 = Given that 5, find the…

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Q: The slope of the regression line represents the amount of change that is expected to take place in x…

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Q: A calculator that sells for $57.00 in stores is available for purchase online at a price of $33.06.…

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Q: Express the following in the form eaz (e4-2)² + ²z = Check (ebe + c), with a, b, c EN

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Q: find y" (second derivetive) of the function y = cos(2x) 3 - 2 sin²(x) and find the inflection point

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Q: The one-to-one function h is defined below. h(x)= 2x-9 3x+8 -1 Find h¹(x), where h is the inverse of…

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Q: by graphing the standard quadratic function f(x)=x². Then use transformations of this graph to graph…

A: Please refer to the image below

Q: Show all work please and needed asap!

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Q: The parabola below is decreasing or is on a decline on the left side of the graph. # Select one: O…

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Q: 3x + 5 = -5x + 3 ×=

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Q: A certain radioactive substance decays exponentially with a There are initially 105 grams present A)…

A: NOTE: Refresh your page if you can't see any equations. . the exponential  function is in the form…

Q: 4. David, who plans to go to university in 4 years, estimates that he will need $40000. He is…

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Q: Find the vector X (in standard coordinates) determined by the given coordinate vector [X] and the…

A: The objective of the question is determine the vector X.

Q: x' = 2 -1 6 7 where (0) -[] = 6

A: To solve the following system of differential equations

Q: When solving the equation below using the quadratic formula, what would be the value inside or under…

A: Topic = Quadratic equation

Q: 14. Consumer Economics A house-painting company charges $376 plus $12 per hour. Another painting…

A: Given problem:- A house-painting company charges $376 plus $12 per hour. Another painting company…

Q: a) X1 + 3x2 + 4x3 + 5x4 = 0 2x₁ + 6x₂ + 9x3 +5x4 = 0 3x1 + X2 + 8x₂ b) 5x₁ 2x₁ + 5x2 3x3 + 2x3 + -…

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Q: Find the APR (rounded to the nearest tenth of a percent) for the loan described below. Purchase a…

A: Purchase a living room set for $3,700 at 11% add-on interest for 3 years.

Q: Long-Term Investments This exercise is based on the following table, which lists interest rates on…

A: Topic- Compound interest

Q: M 0 M 10 cm R

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Q: Solving the following quadratic equation using the technique of COMPLETING THE SQUARE. x² + 6x +13=…

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Q: 3 = -- and A is a negative acute angle. 4 What is the value of cos - A if tan A = -

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Q: Diagonalize the given matrix if possible: A = [1 2 0 -1

A: Our Aim is to diagonalize the matrix A=120-1

Q: Find the amount of periodic payment necessary for the deposit to a sinking fund. (Round your answer…

A: Let's find periodic payment for a deposit to a sinking fund.

Q: 245 ft B 305 ft A Find angle A in the above right triangle. Answer: A = degree.) O (Round your…

A: NOTE: Refresh your page if you can't see any equations. . here we have  AB=305 feet BC=245 feet

Q: By rationalizing the denominator, simplify the following: 3√/5-2√/3 3√//3-√√/5 Select one: O a.…

A: We know that for simplification is  If √a×√a = a1/2. a1/2 = a .   Here i attached the solution of…

Q: a. The owner of the apartment decides to change to a new schedule and they set the thermostat to…

A: Concept: Here the x-axis of the graph represents the x hours and the y-axis is the temperature of…

Q: The one-to-one functions g and h are defined as follows. g={(-9, 8), (3, 4), (4, -7), (9, 7)} h(x) =…

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Q: The cost function for a certain company is C = 20x + 700 and the revenue is given by R = 100x -…

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Q: 17) Graph the function f(x) = √√x - 4. Plot four points on the graph of the function: the leftmost…

A: The given function is: fx=x-4 To draw the graph of the given function. Plot four points on the graph…

Q: Let y = f(r) be the inverse of the function f(x) = 2x3³+x-3. Find y'(0) and y'(-3).

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Q: Find the dimension of the null space and the dimension of the column space of the -3 -2 7 7 [1 -27 2…

A: The given matrix, M=1-3-277-22-6-45147 we have to find dim(Nul(M)) and dim(col(M))

Q: 3. The amount A, micrograms of a certain radioactive substance remaining after t years decreases…

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Q: R(60)

A: Given ,  No. S R 1 20 1600 2 25 800 3 30 250 4 35 300 5 40 800 6 45 1400 Where, S…

Q: The population of the prosperous city of Mathopia was 200,000 people in the year 2000. In the year…

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Q: Explain the differences between the graphs of the following function f(x) = 4X^3. and  g(x) =(4x)^3…

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Q: Suppose that f is a linear function such that f(3) = 6 and f(7) = 3. Find the equation for f. (Use x…

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Q: Solve the system using the method of your choice. Be sure to show proper work for whichever method…

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Q: Find f−1(x) for f(x)=1+12x. Enter the exact answer. Enclose numerators and denominators in…

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Q: Use the graph to determine (a) open intervals on which the function is increasing, if any. (b) open…

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