Express the problem as a system of equations using slack variables. (Use s1, s2, ... for the slack variables.) Maximize subject tofirst equationsecond equationthird equationobjective equationz =420x1 + 270x2 + 10x3, 6x1 + 7x2 + 12x3≤50 4x1 + 18x2 + 9x3≤85 x1−2x2 + 14x3≤66 x1≥0, x2≥0, x3≥0.

Q: The ten's digit in a two-digit number is 2 greater than the one's digit. If we interchange the…

A: Topic- Linear equations We are given The ten's digit ina two digit number is 32 greater than the…

Q: Solve the following inequalities:  (i) 5(11 − q) < q+ 49

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: plumber charges $20 an hour plus a $15 flat fee. Another plumber charges $18 an hour plus a  $30…

A: Given query is to find the time when both cost the same.

Q: Find the following matrix product, if it exists. 0 2-4 OA. 0 -3 35 0 0-3 5 2-4 2-1 -4 0 Select the…

A: I am attaching image so that you understand each and every step.

Q: Linear Functions Application Alex has $10. He earns $5 every week doing chores at his house. 1.…

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Q: 5. Solve the value of x and y: (FRACTION FORM) 3x + 2y = 7 5x - 3y = 37

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Q: 1/5 On a given planet, the weight of an object varies directly with the mass of the object. Suppose…

A: Given that weight of the object varies directly with its mass

Q: Find the domain of the function. f(x)=8x+1 ‒‒‒ Select the correct choice below and, if necessary,…

A: Topic = Functions Correct option = B

Q: [24 -2 8 1 2 -3 0 Which of the 40 1 -1 following is the reduced row echelon form of A? Let A Select…

A: Given :   A= 2 4 -281 2-304 0 1-1 To Find:  Row reduced echelon form of A

Q: Consider the following function. X-6 Describe the local behavior of the function. f(x) is undefined…

A: Topic = Functions

Q: 3 1 2 -1 3 following is the inverse of A? Let A = Select one: A-1 A-1 A-¹ 0 4 1 -2 = A-1 Which of…

A: In this question, we want to calculate the inverse of the given matrix.

Q: Calculate the volume of the parallelepiped with the vertex at P(−5, 4, 1) and adjacent vertices:…

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Q: Inspect the graph of the function to determine whether it is increasing or decreasing on the given…

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Q: Which of the following transformations are linear? Select all of the linear transformations. A. T(x,…

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Q: move a function left or right you should add a constant * value mone of these y value both the x and…

A: Topic:- application of calculus

Q: Determine whether the following statement is true or false: Given matrices A of the size 3 × 5 and B…

A: We have given matrices A and B Size of matrix A = 3×5 Size of matrix B = 5×3 So, Size of AB = 3×3…

Q: A square is cut into 4 identical triangles. Each triangle has an area of 1 square unit. What is the…

A: Given data  Total area of each triangle =1 square unit  number of triangle =4 so total area of…

Q: Consider the functions F and G as shown in the graph to the right. Find the domain of G/F What is…

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Q: find the lcm of y^2-y-6 and y^2-7y-12

A: We need to find LCM

Q: Find a vector ū that is parallel to the yz-plane and perpendicular to the vector v = to the vector…

A: Given vector:- v→=-5,2,-3

Q: Suppose an investment account is opened with an initial deposit of  $12,000  earning  7.2%  interest…

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Q: 1. Solve the given systems of equations 3x-4y=-2 5x + 2y = 40 a. b. [2x-y=6 -x+8y= 12 ultiply c.…

A: a)

Q: Alex is saving up to buy a playstation that costs $180. How many weeks will Alex have to complete…

A: (7) Given that , Money=$10 Earning of Alex=$5 per week Find the number of weeks.

Q: Determine whether the following statement is true or false: If both matrices A of the size 3 x 3 and…

A: Given: two matrices A and B are invertible.

Q: Write an equation for the polynomial graphed below 5+ -5 -4 -3 -2 1-1 y(x) Kh 3 2 P IM -2 20 RE -5+…

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Q: ..) Let f(x, y) = In[(x-2)(y-1)]. a) Find and sketch the domain of f(x, y). b) Find the boundary of…

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Q: following equation. For which values of t is the rate of sales N'(t) increasing? N(t) = -3t³ + 450t²…

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Q: Scenario The height, in feet, of an object shot upwards into the air with an initial velocity, in…

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Q: Solve the system graphically, and indicate whether each solution region is bounded or unbounded.…

A: Given:- x+4y≤273x+y≤264x+5y≥42

Q: K O search Graph the following function. Check your result using a graphing calculator. x+1, for…

A: We have to plot the graph of the given function.

Q: Determine visually whether the graph is symmetric with respect to the x-axis, the y-axis, or the…

A: To determine visually whether the graph is symmetric with respect to the x‐axis, the y‐axis,or…

Q: Find (fog)(x) and (gof)(x) and the domain of each. f(x)=x+1, g(x) = 6x² - 5x-1 (fog)(x) = (Simplify…

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Q: Find all zeros of the function f(x) = 12x³ + 17x² – 14x − 15. Enter the zeros separated by commas.

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Q: Catalina manages a shop that makes and sells two kinds of microphones, the MX300 and the Jammer.…

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Q: y the domain and the range of the relation from the graph. domain is {x}. be your answer in set…

A: Given query is to find the domain and range of the relationship.

Q: 1. Given the matrix A = 246 0-14 427 find A-1 by transforming A to an Identity matrix (if possible)…

A: As per the Bartleby Guidelines, we are supposed to solve only 1 question. So, please upload the…

Q: The orthogonal projection of the vector is ... 10/9 7/9 -1 3 onto the subspace V = span 2

A: let v=1-132and  V= span { v1  , v2}v1=2120      and   v2=20-21

Q: Suppose the population of a particular region in 2002 was 5684714 and was increasing at the rate of…

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Q: Question Find 3ū (5u - 7v) given that u v = 7, ||u|| = 3 and |||| : = 10.

A: To find the given vector expression

Q: Consider a matrix: 7 5 -6 -6 7 5 5 -6 7

A: Given :

Q: Work Problem 2 Write detailed answers for the following questions: (a) Find the reduced row echelon…

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Q: A graph of a function f is given. y 1 (x, y) = 0 2 (a) Find the local minimum value of f and the…

A: We have given graph of the function  From given graph  (a)  The local minimum occurs at x=-1 local…

Q: Let A = 1 0 -3 2 and define T: R² R² by-T() = A. Find T 0 1] Calculator Check Answer Find I([^]) 2

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Q: Which best describes the following matrix: 1000 0 1 0 0 0010 0 201 ? Dilation by a factor of 2 in…

A: Given : 1000010000100201   Note that : The matrix, 100001000010lmn1  produces translation in x,y,z…

Q: 2. Sketch one graph of a reciprocal function that satisfies each of the following characteristics.…

A: Let's sketch the graph of a reciprocal function.

Q: Talai manufactures cell phone cases. It plans to manufacture 200,000 cases to be sold at $8.55 each.…

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Q: Find the perimeter of the polygon. The perimeter of the polygon is (Simplify your answer.) 1 km 6 km…

A: let polygon sides is   ab=1km                                       bc=6km…

Q: If f(x) = x² + x + 3 and g(x) = x - 5, find the following. (a) f+g (b) f-g (c) fog (d) gof (e)…

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Q: Shelly spent 10 minutes jogging and 20 minutes cycling and burned 300 calories.the next day,Shelly…

A: 10 calories were burned for each minute of jogging and 10 calories were burned for each minute of…

Q: Linear Functions Application Alex has $10. He earns $5 every week doing chores at his house. 2.…

A: NOTE: Refresh your page if you can't see any equations. . Alex has $10,  he earns $5 every week…