A driver's average speed is 50 miles per hour on the round trip between two cities 100 miles apart. The average speeds for going and returning were x and y miles per hour, respectivel (a) Does y = 25x x - 25 represent y in terms of x for the context of this problem? (b) Determine the vertical and horizontal asymptotes of the graph of the function. vertical asymptote X = horizontal asymptote y =

Q: Solve the following system of linear equations  {  7m + 12n = -1  {  5m - 3n = 7

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Q: For the function g(x) = |x-6|+2, evaluate g(-6).

A: For the function g(x)=x-6+2, we have to evaluate g-6=?

Q: 3. There are 64 children in year 4. a) 8 are off sick. What fraction of children is left? b) 48 stay…

A: Two basic math word problems are given. Both are part of fractions. We have to solve these by using…

Q: Mike made a number pattern by starting with the number 18 then adding 5 until he reached 688. How…

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Q: 9/ for the following problem max 3X+Y Subject X+y<5 X < 4 X, y zo find @Draw the fesible region ®…

A: here we have to plot region and after from boundry point we have to maximize the function

Q: Previous A Next Suppose that the relation G is defined as follows. G={(-1, -3), (4,-4), (-1,2),…

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Q: In D, find all elements X such that a. X³ = V; b. X³ = R90' c. X³ = R₁; d. X² = Ro e. X²2 = H.

A: We have to find X in all parts

Q: [2.28] Which of the following sets are convex and which are not? a. {(x₁, x₂) x² + x² ≥ 3}. : b.…

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Q: Find the derivative of f(x) with respect to x ( 2. f(x) = x² sinx + 2x cos x - 2 sin x

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Q: Use the figure to the right to find its volume in cubic units.

A: The figure is given by ,

Q: 5 Drag the numbers to the correct locations on the matrix. Not all numbers will be used. Consider…

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Q: Jeans with an original price of $49 are on sale at 20% off. What is the sale price of the jeans?

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Q: For each pair of functions f and g below, find f(g(x)) and g (f(x)). Then, determine whether fand g…

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Q: Use transformations to graph the function and state the domain and range using interval notation. y…

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Q: The principal represents an amount of money deposited in a savings account subject to compound…

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Q: Let f(x) ƒ¯¹(-4)= = x+1 x+8

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Q: Match the function with the graph. A) g(x) = (x-4)² -10 B) g(x) = x² + 4 10 x C) g(x)=x²-4 D) g(x) =…

A: for this problem we need to find the y-intercept of the function.

Q: Please write the answers directly. (1) Σ (+1) (2) The distance from the point (1, 2, -1) to the…

A: Note: As per our guidelines we are instructed solve only 3 subparts of a problem. Post separately…

Q: (d) (i) Factorise the quadratic expression x² + 3x - 28. (ii) Use your answer to part (d) (i) to…

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Q: Solve for r to two decimal places. 4= e 5r ra (Do not round until the final answer. Then round to…

A: Topic = Algebra

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Q: At the end of each​ quarter, a 49​-year-old individual puts $1200 in a retirement account that pays…

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Q: Show that (AB)¹ = BTA¹ if A = 2 0 2 0 and B = -1 1 15) -3 1 -1 -1 2 2). a

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Q: ?Which of the following is a true statement (15 * 2 > 30) AND (15-230) O non of the given (15 * 2…

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Q: Find f'(x). f(x) = 7xe*

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Q: Assume that the function f is a one-to-one function. (a) If ƒ(3) = 5, find ƒ−¹(5). Your answer is…

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Q: Solve. log 4x = 3 The solution is x = (Simplify your answer.)

A: A logarithmic equation is provided. We have to find a solution.

Q: 22lnx 1. Evaluate definite integral for y = = √²² ¹nx dx X

A: we havey=∫122lnx xdx

Q: Write the quadratic equation whose roots are -6 and 4, and whose leading coefficient is 2. (Use the…

A: Topic = Quadratic equation

Q: 6. As mentioned in class describe in your own words what is occurring during each step of the…

A: Follow the procedure given below.

Q: The principal p is borrowed at simple interest rate r for a period of time t. Find the loan's future…

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Q: determine the union of XuY  express in interval notation X = {x | x > 14} and Y = {x | x ≤ 11}

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Q: (1.) f(x)=√1 X+1 a.) Identify all int's (ONE it does not exist. X-int (x, y) = (x₁y) = ( 3 y-int…

A: Topic = Functions As per guidelines , At a time only three parts can be answered. please repost for…

Q: Find f'(x) and find the equation of the line tangent to the graph of f at x = 1. x-5 f(x) = 6x-1…

A: Here given that f(x)=x-56x-1 We have to find f'(x) and also we have to find the equation of the…

Q: Q.2B) Evaluation of IA-2B1 through define length of the vector [A] equal to and length of vector IBI…

A: Given.

Q: Culminating Assignment 3. For the function g(x) = 5√3(x-2) + 4: a) identify the base function b)…

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Q: a. Draw the feasible region b. Find the optimal solution geometrically

A: Follow the procedure given below.

Q: Ⓒ log₁ [log 3 (log ₂x)] = 0 Ⓒ log ₂ X = 2log ₂ 3 + log ₂ 5 2 2 Ⓒlogs x + 2 + log 3b =3 3

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Q: The equation sinx=cscx A. is an identity B. has no solution 0 < * Σπ D. has two solutions within the…

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Q: lim x→2- 2 (1₁ 3 1² 8 x³8 x-2/

A: Given;  limx-2-[1/(x3-8) -2/(x-2) ].

Q: log₂ (x + 4) - log2 x = log₂ (x + 2)

A: To solve the following equation.log2x+4-log2 x=log2x+2

Q: Let f be a piecewise-defined function given by the following. Determine the values of m and b that…

A: Topic = Derivative

Q: For items 24-25: Let A be a 4 x 4 matrix and suppose that |A| = 5. Compute 24. |2A-¹1 16 16 A. 200…

A: For items 24-25:- Let A be a 4x4 matrix and suppose that lAl = 5. Compute Topic :- Matrix

Q: 5) Simplify and state any restrictions. 5 3 a) - 7x 4x 2 c) - ² - 3 - 5 x+3 b) ++ ab d) 74 + x+4 2b…

A: We need to simplify and find restrictions.

Q: Which of the following is NOT a factor of the polynomial function graphed? X 2 TV

A: Follow the procedure given below.

Q: In a class in which the final course grade depends entirely on the average of four equally weighted…

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Q: How close to - 1 do we have to take x so that 1/(x+1)^2>400 ANSWER AS FRACTION

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Q: - BJ -1]. prove prove A²-A-51 = 0 3 If A =

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Q: Isn't this a General Annuity Due question?

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Q: Find f'(x). f(x) = 4 ex + 3x - 5 Inx

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