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## Related Algebra Q&A

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Q: Graph the circle 4x^2+4y^2+8x-24y+31=0

A: The given circle equation is

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A: (a)We are given a function as

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Q: f Then determine the domain for each function. 9 First find f+ g, f-g, fg and f(x)-3x-32x+ 45, g(x) ...

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Q: 18) Given the function: f(x) 2x-1 if 1<x<3 a) What is the domain of f(x)? b Evaluate f(0) and fl) c)...

A: The function is given by,

Q: Give the domain and range of the quadratic function whose graph is described. The vertex is (-1,-5) ...

A: Given information:The vertex is (-1,-5) and the parabola opens up.

Q: Condense the expression to the logarithm of a single quantity. log x −2log(x +1)

A: Given,

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Q: Explain how f (x) = (x − 1)2 + 3 is obtained from f (x) = x2.

A: Given f(x)=x^2, to obtain f(x)=(x-1)^2 from f(x)=x^2 we have to shift the graph to 1 unit right.

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Q: f Then determine the domain for each function. Given f(x)=x+ 6 and g(x) 4x, first find f+ g, f-g, fg...

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

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Q: What is the inverse equation for (x+2) over x? x+2 x

A: Given information:The given function is

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Q: Two cyclists leave towns 144 km apart at the same time and travel toward each other. One cyclist tra...

A: Given that two cyclist 114 km apart travel each other at same time one cyclist travel 6 km/h faster...

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Q: Please show step by step how to work out all asymptotes for f(x)=3^x-1

A: Vertical asymptote:The points at which the denominator is 0 or does not exist is the vertical asympt...

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Q: Approximate the number using a calculator. -0.31 -0.31 (Round to three decimal places.) Enter your a...

A: We first put e^-0.31 in calculator.

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Q: Condense the expression to the logarithm of a single quantity 1/2 [log 4 ( x +1) +2log 4 ( x −1)] +6...

A: Given,

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Q: The drag force F on a boat varies jointly with the wet surface area A of the boat and the square of ...

A: Drag force F directly varies with surface area A and square of the speed s.Wet surface area of boat ...

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Q: A family has two cars. The first car has a fuel efficiency of 40 miles per gallon of gas and the sec...

A: Total gas consumption in the given week is 40 gallons.

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Q: Consider an arithmetic sequence with the first term ai = 300 and common difference d = -90 Use the f...

A: From the given information, it is observed that the first term

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Q: The US and China together produce 5.9 million tons of e-waste each year. About 0.7 million more tons...

A: Given information:The US and China together produce 5.9 million tons of e-waste each year. About 0.7...

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Q: Find the domain of each of the functions below. f (x) = 5x^2 +2x −1 f (x) = 1−2x^ 2 f (t) = 4/ t

A: Given information:The given function is shown below:a) f (x) = 5x^2 +2x −1b) f (x) = 1−2x^ 2c) f (t)...

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Q: Evaluate the piecewise function at the given values of the independent variable. 2x+5 if x <0 f(x) 3...

A: -3<0 so we will use f(x)=2x+5 to find f(-3)Answer(a): f(-3) =-1

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Q: Find an equation of the circle whose diameter has endpoints , 46 and , 4−4 .

A: To write down the equation of satisfied by all the points on the given locus

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Q: Find the horizontal asymptote, if any, of the graph of the rational function. 10x2 gx)= $2 5x+8 Sele...

A: This graph has horizontal asymptote because the degree of numerator and denominator are same.

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Q: Use the graph of the rational function to complete the following statement As x4, f(x) -5 As x4, fx)...

A: x-> -4^- means slightly less than -4.

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Q: Function g is related to the parent function. Identify the parent function f. g(x)=4-[[x]] a. Con...

A: Consider the given function:

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Q: Given the function f(x) vx-7, (a) Find f (b) Graph f andf in the same rectangular coordinate system....

A: (a)It is given that the function f(x) = √(x – 7).Obtain the inverse of the function as follows.Subst...

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Q: Solve for y in the equation below.Round your answer to the nearest hundredth.Do not round any interm...

A: Consider the given equation

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Q: For each equation, determine whether it represents a direct variation, an inverse variation, or neit...

A: The given equations are xy = 2 and 10/y = x.

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Q: There are 36 apple trees in an orchard. Each tree produces 900 apples. For each additional tree plan...

A: To calculate the number of trees that should be added to the existing orchard to maximize the total ...

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Q: Find all rational zeros of the function f (x) = x ^3 −6x^ 2 +11x −6

A: The given polynomial function is

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Q: A jet travels 4576 mi against a jetstream in 8 hours and 5696 mi with the jetstream in the same amo...

A: Let, the rate of the jet in still air is = x mi/hourAnd the rate of the jet stream = y mi/hour.Speed...

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Q: Question: consider the function f(x)=3^x-1 graph showing the asymptote

A: The given function is f (x) = 3x–1.

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Q: Linda, Frank, and Chau sent a total of 76 text messages over their cell phones during the weekend. F...

A: Let the text messages that Linda got be x.Then the text messages that Frank got is 8+x.The text mess...

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Q: Simplify the difference quotient x)-fa) for the following function. x-a 3 f(x)x 8X

A: Firstly, we find f(a) by replacing x by a in f(x). < Then substitute the values of f(x) and f(a)....

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Q: mplele) (4 pt Use the given conditions to write an equation for the line in point-slope form and in ...

A: Given, Required line passing through the point (-3 , -2) and parallel to the line y = -3x+5.

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Q: Find an equation of the parabola with vertex , 34 and directrix =y2 .

A: It is given that the vertex of the parabola is (3,4), where h = 3 and k = 4 and the directrix is y =...

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Q: Does the relation x(x + y) = 1 specify a function? Explain.

A: Refer to the question, we have to specify the relation, x(x + y) = 1 is a function.Then according to...

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Q: Answer the following questions about the equation below. 12x3 +53x-34x + 5 = 0 (a) List all rational...

A: We are given an equation as

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Q: Sketch the graph of f (x) = 3^x +1

A: The given function is,

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Q: Given the function f(x) = vx-7, (a) Find f (x). (b) Graph f andf in the same rectangular coordinate ...

A: (a)Consider the given function:

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Q: 35) Complete the table below to create an odd function f. x 60 246 3 -12 f(x)

A: Given:The function is an odd function.That is, f(-x) = -(f(x)).

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Q: #27 Bill drives 120 miles from his house in San Diego to Los Angels for a business meeting. Afterwar...

A: Let the average driving speed be x miles /hour , then we calculate the time taken in both the trips,...

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Q: Let g (x) = 12− x 2 , then answer the following questions: (a) Identify the parent function:f (x) = ...

A: We are given a function as

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Q: using the values a=4, b=2 and c=5, find the value of each of these expressions. a) 4a+2b b) 2a=b ove...

A: Click to see the answer

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Q: Explain how f (x) = (x − 1)2 + 3 is obtained from f (x) = x2

A: The given functions are f(x) = (x-1)2 +3 and f(x) = x2.Sketch the graph of the functions f(x) = (x-1...

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Q: Solve the given system of equations. 5x+2y-5z 7 3x-4y+3z -31 6x-5y+ 6z - 59 Select the correct choic...

A: Method of Substitution:

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Q: Simplify the difference quotient f(x)−f(a)/x−a for the given function. f(x)=2-6x-x^2

A: The given function is f (x) = 2– 6x – x2. Substitute x = a in f (x) = 2– 6x – x2 to obtain f (a). f ...

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Q: How would you factor x2(2x+3)5(x-4)2 to find the zeros and multiplicity?

A: The given expression is,

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Q: Write as a single fraction. Simplify your answer as much as possible. (3v/v2+5v-14)-(4/v2+4v-21)+(3/...

A: The given fraction is (3v/v2+5v-14)-(4/v2+4v-21)+(3/v2-5v+6).