x+7 6. Find the partial fraction decomposition of x2-x-6' Write every step and a short sentence explaining how you get from one step to the next.

Q: In a trapezium the longer parallel side (a) is twice the length of the shorter side (b). The…

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Q: Write the general term(rule) of the arithmetic sequence whose third term is 32 and whose eleventh…

A: We can find the required answer as below.

Q: QUESTION 3 If an account starts with $17,000 and earns 5% interest per year, compounded quarterly,…

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Q: 1. What is the ratio of the perimeters of two similar triangles if the ratio of the areas is 16:1?…

A: In this question, we need to find the ratio of perimeters of two similar triangles with ratio of…

Q: Find the inverse of the following function and graph both f and f' on the same coordinate plane.…

A: Given query is to find inverse of the function.

Q: (1) For demand function Q̟ = a – bP and supply function Q, = dP-c, using Cramer's rule determine…

A: Since you have asked multiple question, as per company guidelines we will solve the first question…

Q: Donna deposits $20,000 into an account that pays simple interest at a rate of 4% per year. Tony…

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Q: Let f(x) = 3x - 1 and g(x) = x? + 2. Find (fo g)(7). (fo g)(7) =

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Q: Suppose a scientist has a fossil sample with 140 g (grams) of carbon-14. If its original amount of…

A:

Q: write the equation x - 2 = (24 - 12x) / (-13x+3) in the standard form ax2 + bx + c = 0

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Q: Use induction to prove: for any integer n > 1, 3|(n – 4n + 6). Hint: this question is case…

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Q: Given that f(x) = x? 7x and g(x) = x + 13, find (a) ƒ + g = (b) ƒ – g = (c) fg = f (d) -

A: a) f+g=f(x)+g(x)f+g=x2-7x+x+13f+g=x2-6x+13

Q: Find the equation of a hyperbola satisfying the given conditions. Vertices at (0, 7) and (0,-7);…

A:

Q: A=

A: The given matrix,  A=8k6-6

Q: Form a polynomial Zeros: -1,0,6 Degree: 3

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Q: A credit card offers a borrowing rate of 18% compounded daily. What is the effective rate as a…

A: Note that: Effective rate =1+inn-1 where i is the interest rate and n is the number of periods Here,…

Q: (b). $45,614 invested at 16% for 7 days. Balance = $ Number Interest = $Number %3D

A:

Q: 14. It is known that the positive integer n is so that 9" = 20589113m094649 The correct value of m…

A: here we make find the n value  here we can try and find that n =15 92 =81 93 =729 .......... like…

Q: 9. If f (x) = sin 3x so lim f(x+2h)+f(x-2h)-2f(x) ... -18h2 А. —3 sin 3x В. —2 sin 3x C. sin 3x D. 2…

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Q: ) The equation of the parabola with zeroes -4 and 1, opening downward and a vertical com pression of…

A: Given problems:- d) The equation of the parabola with zeroes -4 and 1, opening downward and a…

Q: 5. Factor f(x) = 9x² – 33x² + 19x – 3, given that 3 is a zero.

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Q: B. Shade the appropriate half-plane to complete the graph of the inequality. 2x+y 22 3x-y<-1

A: Here we have to shade the required region.

Q: 4. Determine the equation of the following. a) The parabola with vertex (-6, -2) and passes through…

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Q: 3. Given p and q are real numbers such that p - Ja = 30. The maximum value of p – 4q is А. 1200 В.…

A: This question can be solved using the concept of maxima or minima.

Q: Applying the knowledge of similarity and the Pythagorean theorem, solve the given problems.( show…

A: We will use the property of similar triangles to solve this question.

Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

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Q: What present amount is necessary to attain a future amount of $190 in 9 months using an annual…

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Q: Kacy wants to buy a container and cover it with fabric she will choose between three containers…

A: find the total surface area of the object which required minimum surface area so that it cover least…

Q: Last year, a computer store sold a laptop for Php 20,000. Now the same laptop is sold with a markup…

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Q: Population in a Small Town, USA was 587 in 1970. The populations increased by 3% annually. Show and…

A: a )     let the exponential growth function be           y=abx          where a is the initial value…

Q: 12. Find the vertical, horizontal, and oblique asymptotes, if any, of the given rational function. 3…

A: (a) Find the vertical asymptote. x3-1x2+2x-3=x-1x2+x+1x2+2x-3=x-1x2+x+1x-1x+3=x2+x+1x+3 The function…

Q: 8. Given that a, b, c, d are positive integers that satisfy loga b = an log, d = if c – b = 23, then…

A: This is a problem related to fraction of the expression. Based on the general concept we will solve…

Q: Using Pascal’s Binomial Theorem, expand and simplify the following. Show all working out: (x+y)5

A: Topic = Algebra

Q: Cut a 16 ft beam into two pieces so that one piece is 18 in. longer than the other. Find the length…

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Q: . What is the monthly payment on a 30 year, $250,000 mortgage, with an interest rate of 4%,…

A: here n = 30*12 = 360 month  i = 4 = 4/12 = 1/3% monthly P = $250000 monthly payment =…

Q: Solve for the value of x and y; x=3y+1 2x+4y=12 Draw the line graphs that represent both equations…

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Q: The length of a rectangular garden is 20 feet longer than the width. If the area of the rectangular…

A: The area of a rectangle with length l and width w is given by A=l×w.

Q: a+vb So the value of a + b + c is. 4. If cos 36° A. 8 В. 10 С. 12 D. 15 Е. 18

A: Given PROBLEM:- cos(36°) =(a+√b)/c Find :- Value of a+b+c

Q: PLEASE FAST!!! NEED

A:

Q: owed by 1 Two Year Rotation. lowed by 1 Four vear Rotation.

A: 1 year -  Principal = 1000 dollar , interest = 10%  A=P(1+rt).    =1000(1+10/100×1)   =1000×11/10…

Q: 3. Use the discriminant to determine howm (you do not need to solve it). Circle one: 0 solutions 1…

A: Given query is to find the number of solution quadratic have.

Q: 4. 25 x 0.41 して4%

A:

Q: -a --ib+c=0 -a --b-d+ e = 0 a - b= 2 v3 +2 i b+c-d= -2 d-e = 2 v3 +2 i

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Q: 1_1, 3 Solve: a-2 %3D 5a 2a

A: We have to find value of a .

Q: Assuming that the annual rate of inflation averages 3% over the next 10 years, the approximate costs…

A: Given C(t) = P(1.03)^ t  P = $29.96

Q: За + 4 f(x) g(x) = – 2x – 3 Find the following - - f(1) = g(1) = (f + g)(1) =

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

Q: 1. Solve the system. Be sure to show all work. -2x + 4y = 3 3x- 7y= 1

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Q: At the bake sale, Albert sold 4 cupcakes for $3 each and 12 brownies for $2 each. What was the total…

A: word problems are given, we have to find its solution using mathematical expressions.   Note:…

Q: The predicted flight path of a toy rocket is defined by the equation h = -2(d – 1) (d - 11), where d…

A: This question can be solved using the concept of graphing of quadratic function.

Q: 1 1 1 1 -1 2 -1 ww 1. A = 3 3 1212

A: