Given that -1 +5i is a complex root of the cubic polynomial x³+ 22x - 52, determine the other two roots (without using a calculator). (ii) Hence, (and without using a calculator) determine 34 √√³+22x da. 52 I

Q: 4. Explain why the two planes P₁: =(2,5,3)+(2,-1,-3) +(1.0,-1), s.1 7=(4,4,0) + s(2,-1,3)+(-1,2,3),…

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Q: Describe how a child who is learning the single-digit addition facts can use the make-a-ten method…

A: Concept: Make a ten method: The make a ten method is a strategy for adding and subtracting numbers…

Q: For the feasible set in the figure to the right, determine x and y so that the objective function 5x…

A: The objective function 5x+6y

Q: An observer stands 2400 ft away from a launch pad to observe a rocket launch. The rocket blasts off…

A: This question can be solved using the concept of rate of change of quantities.

Q: f(x)=sqrt x +2 g(x)=x^2-5 (g o f)(x) Evaluate composite function, write in fraction form

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Q: Find two consecutive even numbers such that the sum of one-sixth the larger number and one-fourth…

A: Consider these two numbers are x and x+2

Q: 7. Evaluate f(x) = 9 - 8x for f(-3). a) -15 b) 33 c) 20 d) none of the above

A: Given :f(x)=9-8x

Q: B: Fill in the blank - put your answer in the space provided. No work needs to be shown. 11. For…

A: We have to solve given Questions.

Q: let f(x)= x2-3x-54/x2-1 and g(x)= x2+5x-6/x2+2x+1 find and simplify (f/g)(x)= ?

A: We can solve this as follows:

Q: The general solution to an inhomogeneous second order differential equation is: y = Aer + Bent +ae*…

A: Given problem:- The general solution to an inhomogeneous second order differential equation is:   y…

Q: 6. Choose which of the following are the values of x, y, and z. -2x - y - 3z = 3 2x - 3y + z = 13 2x…

A: A detailed solution is given below.

Q: Following the birth of a child, a parent wants to make an initial investment P, that will grow to…

A: Compound Interest formula (compounded continuously) : A = P0 er·t where A is the final amount, P0 is…

Q: 7) Graph the equation. Be accurate. x2 + y2 = 36 -10 -5. 10- 手 5 10 x

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Q: Solve for a and b  4a-2b=1 10a-4b=9

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Q: Solve: x-3. Enter the exact answers. The field below accepts a list of numbers or formulas separated…

A: To solve the following equation.x-3=x-3

Q: A manufacturer of lighting fixtures has daily production costs of C = 800 - 30x +0.75x², where C is…

A: To find out the production units required to yield minimum cost.

Q: The bones were about years old. (Round to the nearest integer as needed.)

A: Topic:- exponential decaying function

Q: Current Attempt in Progress Find the determinant of the following elementary matrix by inspection.…

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Q: A rectangular board is  1100  millimeters long and  800  millimeters wide. What is the area of the…

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Q: 11. State the domain and range of the following relations Please notice the endpoints of each graph…

A: Solution is here

Q: 11. Find the least-squares solution of the system: x₁ + 4x2= 2, 2x₁ + 5x2 = 2, 3x₁ + 6x₂ = -1

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Q: If a line has a slope of 1/2, then any line perpendicular to it must have what slope? Answer:

A: This question is related to slope of lines and functions, we will solve it using given information.

Q: Let 1 2 40 - 20 1 A = -61 0 – 1 0 and P = 0 1 0 0 0 100 Given that P diagonalizes A, then compute…

A: Here we find the matrix.

Q: 1) The orthogonal vectors u and V of the following are a) u = (1,0,1) and v= (0,1,1) b) u (3,0,-1)…

A: solution:-(1) for orthogonal vector u·v=0(a)u·v=1,0,1·0,1,1=1×0+0×1+1×1=1  not…

Q: Sam uses a calculator to multiply 666, 666x7,777,777. The calculator's answer is displayed as…

A:

Q: Find 3A + 2B. 63 A= 95 3A + 2B = B= -7 2 2-7

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Q: A-The result of the following limit is 2x² + 3x lim xx0x³ + x + 1 2 O o infinity

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Q: Water is pumped from a tank at constant rate, and no more water enters the tank. If the tank…

A: To solve the following problem and find the amount of water left at 6:10pm.

Q: Use the indicated entry as the pivot and perform the pivoting. X₁ X3 S₁ $2 z 1 2 4 1 0 0 66 2 2 1 0…

A: Negative minimum Zj-Cj is -3 and its column index is 1. So, the entering variable is x1.Minimum…

Q: What is the distance between the vertices of the ellipse: 64x^2 + 25y^2 _ 16x - 16y-648= = 0? C.…

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Q: tion: -15 +10 1-51 10 15 15 10 15 10 15 X

A:

Q: Consider the vector field F H (3x + y)i + (2xy)). (a). Verify that F is conservative. (b). Find a…

A:

Q: 1. Dan earns P620 in selling 5 boxes of facemask, how much will be earned in selling 20 boxes of…

A: Concept: Proportional statement: The mathematical assessment of numbers is known as proportion. If…

Q: How can you find the unit rate of 60 miles in 4 seconds

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Q: Identify the function as a power function, a polynomial function, or neither. f(x) = (x²)3 O A power…

A: To solve the following question by identifying the function.

Q: What is the solution to the equation 6 (5x+3) = 4500

A:

Q: C-The result of the following limit is sin t² lim t 1-0 0 infinity 2 anther answer

A: You must have an idea about how to find limit of any function. Here understanding of L'Hospital rule…

Q: % Daily Value* 2% 2% Total Fat 1.5g Saturated Fat 0.5g Trans Fat Og Polyunsaturated Fat 0.5g…

A:

Q: 6. Which of the following is a transformation that can be used to graph the function f(x) = -2(x-4)²…

A: Given problem:- Which of the following is a transformation that can be used to graph the function…

Q: 31 Ovr Qv(31)2 O (3x)²

A: Laws of surds and indices are used.

Q: A table fan has a mark on the tip of one blade. The equation >= 16 sin(4x) + 23 represents the…

A:

Q: Let T: P₁ → R be the linear T(p(x)) = p(7). Then Ker(T) = transformation defined by

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Q: 4. x = 2 (mod6) x = 5 (mod⁹) x = 8 (mod11) x = 11 (mod15)

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Q: Date 6. You work in a bookstore. A customer buys a book and the after-tax cost is $12.35. The…

A: Solution

Q: Odina is going to throw a ball from the top floor of her middle school. The function…

A: Given problem:- Odina is going to throw a ball from the top floor of her middle school. The function…

Q: Explain the below sentence using Algebra expressions: (six times the sum of six and five) Five more…

A: 1. Sum of six and five is written as : 6 + 5 Therefore, Six times the sum of six and five is written…

Q: 10% of what number 27 is ​?

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Q: If Aiden and Natalie each set the arm length of their catapults to 55 centimeters, which statement…

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Q: For the given rational function, (A) Find the intercepts for the graph. (B) Determine the domain.…

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Q: A firm uses simple exponential smoothing with "a = 0.5" to forecast demand. The forecast for the 1st…

A: A firm uses simple exponential smoothing with "α=0.5" to forecast demand. The forecast for the 1st…