Write and solve a linear equation for the following. Show or explain your work. 1 Roman has a certain amount of money. If he spends $15, then he has have originally? of the original amount left. How much money did Roman

Q: Construct the dual problem associated with the primal problem. Solve the primal problem. Minimize C…

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Q: Suppose the position of an object moving in a straight line is given by s(t) = 1² + 4t + 5. Find the…

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Q: Write the augmented matrix of the system - 75x 2x -64y +1z +54z +6y-53z = = 5 -82 -57 8 E]

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Q: The length of a rectangle is 7 inches longer than it is wide. If the area is 44 square inches, what…

A: let width is x inches given area is 44 square inches area of rectangle is A=length×width

Q: Add. 4x-3 x²–2x + -3x+3 x²–2x

A: 4x-3x2-2x+-3x+3x2-2x

Q: Find all zeros of the function f(x)=12x^(3)-43x^(2)+9x+36.

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Q: Q3 Exercise 3: Bijections Let f: X Y and g: Y→ Z be invertible functions. Prove that go f is…

A: We have to prove given statement with the given information.

Q: T4. If you have the function f(x) = -1+x", what will always be a factors, regardless of n? There is…

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Q: Sarah is conducting a science experiment where she initially has a population of 4 fruit flies.…

A: We need to find the other models that can find the population of flies every week as per given…

Q: find the latus rectum of the hyperbola 4x^2-y^2-32x-4y+24=0

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Q: Problem 1: For each of the following collection the nerve of S. (You can draw a picture of the geo…

A: The nerve of a collection of sets S is a simplicial complex that encodes the "overlapping"…

Q: 18x2+ 15x-30x-25

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Q: 2. a c) Find all the matrices A = [] with real entries such that A² = [ 2] detail work. Show your

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Q: In a country in 2007, there were 37.1 million people who were foreign-born. The population at the…

A: total foreign born peoples are 37.1 millions the population was 277000000

Q: 1.) Determine if each equation is a function. a.) x - y = 5 b.) y=x²-3x + 5 c.) x² + y² = 16

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Q: rence relation

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Q: The matrix below is the final matrix form for a system of two linear equations in the variables x,…

A: The matrix below is the final matrix form for a system of two linear equations  in the variables x1…

Q: Technology required. Here are the data for the population f, in thousands, of a city d decades after…

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Q: Reduce the matrix to reduced row-echelon form. A = 3 -4 -307 3 -3 35 4 -10

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Q: Solve the initial value problem. √y dx + (x-8)dy = 0, y(9) = 1 The solution is

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Q: Factor. 49 - 64x2

A: To find factor

Q: A vendor sells hot dogs and bags of potato chips. A customer buys 5 hot dogs and 2 bags of potato…

A: Here we have to find the cost of each items.

Q: 8.) Consider the function below. 20 45 X: 10 f(x): 25 a.) Find the rate of change from x = 20 to x =…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: K Use PMT= PA to determine the regular payment amount, rounded to the nearest dollar. In terms of…

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Q: Let T: P₂ P₂ be a mapping defined by T(a + a₁x + a₂x²) = a₁ + a₁(x + 1) + a₂(x + 1)². (a) Determine…

A: We have to find rank and nullity of the linear transformation.

Q: ex-sinhry - | ? Ik?

A: I've solved  your question using two methods, use any method  to understand .

Q: f Find f+g, f-g, fg and Determine the domain for each function. 9 f(x) = 4x+3, g(x)=x-5 (f+g)(x) =…

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Q: wing 1. Ben is 3 years younger than Dan. The sum of their ages is 53. How old is each?

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

Q: DIRECTIONS: SOLVE THE FOLLOWING SYSTEMS OF LINEAR EQUATIONS BY LU DECOMPOSITION METHOD AND BY…

A: We can solve the given system of equations by using cramer's rule and LU decomposition method.

Q: Simplify. 4x³-12x2 4x²+7x-2 2x² - 6x 5x²+11x+2 2x (5x-1)

A: Given query is to simplify the expression.

Q: Let L be the line passing through the point P=(−2, −5, 5) with direction vector -[1, 0, −3]¹. Find…

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Q: Suppose that f is a function given as f(x) = 4x² +7x -4. Simplify the expression f(x + h). f(x+h)-…

A: The given function fx=4x2+7x-4. We have to find the derivative of the function using the limit…

Q: Julie and Eric row their boat (at a constant speed) 48 miles downstream for 6 hours, helped by the…

A: NOTE: Refresh your page if you can't see any equations. . x=speed of the boat in still water y=speed…

Q: With r in years since January 1, 2010, the population P of Slim Chance is predicted by P =…

A: P(t)=33000(0.98)t  we know  d dt(at)=atlna

Q: 10 -8 -6 -4 -2 10- 8 6- 4 2 Slope = m = -2- -4- -6 -8 -10- Find the slope of the line. Check Answer…

A: Given

Q: 2√25xy-√25xy + 3√√81xy implest radical form AVC, where A and C are either integers or monomials. A =…

A: To simplify the expression

Q: x2 + 5xy - 14y2

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Q: 15.) Sketch a line with y-intercept 3 and slope %

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

Q: Find the equation of the tangent line to the curve y = 96 sina at the point (7,48). The equation of…

A: To find the equation of the tangent line to the curve y = 96sinx at the point (π/6, 48), we need to…

Q: 4√2 (5√12+5√6). and express your answer in the form A√B + C√D, A, B, C, and D are all integers and B…

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Q: or the equation 4x - 2y = 8 Complete the table: X 0 y -) Plot the two points you found in the table.…

A: Given query is to find the table value and the graph.

Q: T7. A degree 37 polynomial has a remainder of 1 when divided by (x - 1). When it is divided by (x -…

A: Let the given polynomial be f(x). So, now as per the information given in question we get. Now using…

Q: Angelo Lemay borrowed $8000 from his credit union. He agreed to repay the loan by making equal…

A: NOTE: Refresh your page if you can't see any equations. . here we have L=8000 r=9%=0.09 n=12 for…

Q: Slice the problem  the width of a rectangle is 6 kilometers less than twice its length. If it's…

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Q: 51 Solve the equation + 1²-36 - x+6 Enter solution(s), separated by commas. Or select "No Solution"…

A: SOLUTION: Here…

Q: Problem Set A 1. Expand the following expressions: a. TC(q)-2TR(q) - FC(q)

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Q: A student claims that the line tangent to the p orgin? Explain is the student comed in saying that…

A: Here we have to find the tangent line.

Q: Here is a graph of f and a graph of g. Express g in terms of f using function notation. g(x) = 10…

A: Solving the following problem

Q: A car loan is simple interest. You borrow $17,500 for 4 years at 7.5%. Assuming monthly payments,…

A: Given : $17,500 is borrowed for 4 years at 7.5 % of simple interest.   To find : Monthly payments.

Q: Correct Among all rectangles that have a perimeter of 196, find the dimensions of the one whose area…

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