Find the inverse function of f(x)=√x + 6. Specify the domain for f-¹(x) f-¹(x) = Domain of f¹(x) using interval notation:

Q: 1. Graph each translation of y = cos x in the interval from 0 to 2π. y=cos(x + 3). y=cosx-4…

A: Rules: 1) f(x+k) shift f(x) , k unit left 2) f(x)-k shift f(x) , k unit down 3) f(x)+k shift f(x) ,…

Q: The one-to-one function fis defined below. 7x-4 x+9 Find f¹(x), where f is the inverse of f. Also…

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Q: Solve: 4xy²(3x³y - 5xy) = 0, Let y = 2

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Q: y years will it take for a deposit of $2,000 to 25,000 if deposited at 5% compounded usly? Round…

A: Here given that, it is compounded continuously. So the formula for compound interest compounding…

Q: Find the point at which the line ƒ(x) = 5x – 18 intersects the line g(x) = −4x + 9

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Q: Write an equation for a rational function with: Vertical asymptotes at x = 4 and x = -4 x intercepts…

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Q: 3. Create a system of equations that has no solutions. Then prove that it has no solutions…

A: To create a system of equations that has no solutions.  Then to prove that it has no solutions…

Q: The graph of fis translated a whole number of units horizontally and vertically to obta The function…

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Q: 1. There were 45 more crossword puzzle books than jigsaw puzzles. 5/9 of the crossword puzzle books…

A: There were 45 more crossword puzzle books than jigsaw puzzles. 59 of the crossword puzzle books and…

Q: Martina opened a savings account with $700 and was paid simple interest at an annual rate of 8%.…

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Q: Alex, Bryan and Charles had a total of 284 marbles. The number of marbles Bryan had was 1/2 the…

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Q: TV2 a cose r √ a² + r² dr do

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Q: Find the equation of the line that passes through the point (3, -7) whose graph is perpendicular to…

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Q: find the difference between the area bounded by the Curve y=ex and the line y = 30 and the area…

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Q: A pottery studio gives two-hour and four-hour ceramics classes for $46 an hour. If the studio has…

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Q: If possible, find A + B, AB, 4A, and 4A 5B. (If not possible, enter IMPOSSIBLE in any cell of the…

A: Note - As per rule I need to solve only first three subparts.

Q: 8x-5)/(2x+1) use polynomial long division to divide.

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Q: What is the APY for money invested at each rate? Give your answer as a percentage rounded to two…

A: For 6% compounded monthly: Let r be the nominal annual interest rate, and n be the number of…

Q: 19. A local theater sells admission tickets for $9.00 on Thursday nights. At capacity, the theater…

A: given, M(n)=9n represents the amount of money n is the number of customers

Q: 8. Mathematics The figure shows a graph of the function of f(x) in the xy-coordinate plane, with the…

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Q: An investment account pays 4.8% compounded monthly. What equal monthly deposits should be made into…

A: An investment account pays 4.8% compounded monthly. What equal monthly deposits should be made into…

Q: The following equation models the spread of an infectious disease: P(t) = 32e-027t where P is the…

A: P(t)=32e0.027t where P in the number of people infected in thousands and t is the number of days…

Q: Find the solutions for 6x^2-4x=-7 using the quadratic formula

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Q: prove the following identities: • (sec(0) — cos(0)). (1 + cos² (0)) = sin² (0) (sec(0) + cos(0)). •…

A: The given identities, sec θ-cos θ1+cos2θ=sin2θsec θ+cos θ lntan x=lnsin x-lncos x sin t+cos…

Q: 6. Solve the following word problems using system of equations. a. Find the value of two numbers if…

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Q: Suppose Z follows the standard normal distribution. Calculate the following probabilities using the…

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Q: Write the equation of the conic section shown below. -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 y 10 9 00 7 9 5…

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Q: Solve using the elimination method. 7x-67=5y -2x-3y = 3 (5,-4) No solution (6,-4) (6,-5)

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Q: Write a quadratic function to represent the values in each table. X -1 0 1 2 3 y 13 3 -3 -5 -3

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Q: least common denominator of 1/4 and 3/8

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Q: Suppose that the functions p and q are defined as follows. p(x)=x²+6 g(x) = √x+9 Find the following

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Q: Find y as a function of a if y"" - 12y" + 35y' = 24e", y(0) = 27, y'(0) = 11, y'(0) = 30. y(x) =

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Q: 14. The formula for finding the perimeter, P, of a rectangle with length / and width w is given. P =…

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Q: Write the system of equations as an augmented matrix (5x -1 -X -3 5x - 6z 2z

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Q: Identify the factor pairs of ac you could use to rewrite b to factor the trinomial by grouping 12x²…

A: Given 12x² + 11x + 2

Q: Express the following expression in complex exponential form: v=20sin (1000t-30°)

A: To express the following expression in complex exponential form. v=20 sin1000t-30°

Q: A given data set is normally distributed and has a mean of 50 and a standard deviation of 10. What…

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Q: Solve the system by graphing. y = -x-1 x-3y=3 O (0, -1) O This system has infinitely many solutions.…

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Q: The graph below is comprised of transformation of tool kit functions. -6 -5 -4 -3 f(x) = -2 — Ö -7 5…

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Q: A particular medicine decays at a rate of 16% every 4 hours. If a person takes a 25 mg dose, answer…

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Q: 1.) Solve the following problem.  1a. If a student Dawn drives 10 miles in 2 hours how fast was…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: a) Express (-√3+3₂) in the form re, where (radians) lies in the second quadrant. Give your answer to…

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Q: 96x²+32-71x2-9y+ 7xy - 24 - 3xy + 4y + 5y 3.9b + a³ + 27-3a² + 5a³ - 2a² +2.1b + 7 3 9 2m + 9m³-1/n+…

A: The given expressions,…

Q: 11z 6 19 ft m

A: The given circle has radius r=9 ft and the arc has central angle θ=11π6. We have to find the length…

Q: a) Express (-√3+32) in the form rei, where (radians) lies in the second quadrant. Give your answer…

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Q: Solve: 2t² + 18t - 1 = 6t - 3t²

A: The solution is shown in step-2

Q: Find the x- and y-intercepts for x + 2y = 3, and then sketch the graph. What is the slope?

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Q: a. NAME 3. Scientists measure a bacteria population and find that it is 10,000. Five days later,…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Write the equation of the conic section shown below. 4 focus -9 -8 -7 -6 -5 -4 -3 -2 -1 y 10 9 8 7 6…

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Q: alculate the upper sums Un and lower sums Ln, on a regular partition of the intervals, for the…

A: Upper sum can be obtained by putting the upper limit in the expression obtained by integration Lower…