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## Related Algebra Q&A

Find answers to questions asked by students like you.

Q: What is the range of the function f (x) = | x | + 2

A: Given:The function is f(x) = |x| + 2

Q: Find C and a so that f (x) = Ca^x satisfies: f (0) = 2 and f (3) = 54

A: Consider the function f(x)=Cax.Given that f(0)=2 and f(3)=54.Substitute x=0 in f(x)=Cax.

Q: Graph the solution to the following inequality on the number line. x(x-5)<=0

A: To graph the solution of the inequality x(x-5)<0 on the number line.

Q: Solve the given equation for x - 1•9 - 6 x = 7 •1

A: To solve the equation, PEMDAS rule is used to simplify the equation and then the variable is isolate...

Q: Find the indicated difference quotient and simplify your answer. f (x) = x 3 +3x, f (x +h)− f (x) /h...

A: Using given f(x) first find f(x+h).

Q: Divide using long division. State the quotient, q(x), and the remainder, r(x). 5x 14x* + 14x+ 2x2+1 ...

A: The given expression is,

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 =...

Q: Find the vertical asymptotes, if any, and the values of x corresponding to holes, if any, of the gra...

A: Calculation:Simplify the given function as follows.

Q: find the equation of a circle whose diameter has endpoints (-3,-3) and (-3,6)

A: We have been given endpoints of diameter of circle as (-3,-3) and (-3,6) and we need to find the equ...

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Q: Graph the hyperbola (y+3)2/16-(x+6)2/4=1

A: The given equation is (y+3)2/16-(x+6)2/4=1.

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Q: Solve the system. -5x y= 13 y-22=-5 X- 2y + Z= 5 Select the correct choice below and fill in any ans...

A: We are given system of equations as

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Q: O SYSTEMS OF LINEAR EQUATIONS Paul Solving a value mixture problem using a system of linear equ Espa...

A: It is given that the first car has fuel efficiency of 20 miles per gallon of gas and the second car ...

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Q: The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be redu...

A: To calculate the amount of mass of after 6 half-lives if the initial amounts of radioactive isotopes...

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Q: The following equation is given. x3-3x-4x+12=0 X a. List all rational roots that are possible accord...

A: a. Find the possible rational roots.

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Q: Solve for x: e x^ 2+6 = e 5x

A: Solve the equation to find the value of x.

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Q: Graph. (If there is no solution, enter NO SOLUTION.){x | x > −2} ∪ {x | x < 1}

A: {x | x > −2}

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Q: The figure on the right shows the graphs of the cost and revenue functions for a company that manufa...

A: In order to break even we must have C(x)=R(x)

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Q: Begin by graphing the absolute value function, f(x) = |x|. Then use transformations of this graph to...

A: Given:The function f(x) = |x|.

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Q: Factor completely 128b^3+ 54=

A: Here, we take 2 common from both the terms and express the given expression in form of a^3+b^3. and ...

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Q: 21) A camera production company's revenue is given by: R(x)-2x1 52x +750, where x is number of camer...

A: Find the number of cameras when the company produce to make $500.A camera production company’s reven...

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Q: Solve the equation by factoring. Please explain how you did your work. 4x2+11x-45=0.

A: We have to compare 4x^2+11x-45=0 with ax^2+bx+c. So, a=4 , b= 11 , c = -45. In ax^2+bx+c form we hav...

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Q: Suppose that the functions q and r are defined as follows. =q(x)=−x r=-2x^2+1 Find the following. (r...

A: In this question we have two functions q(x) and r(x), for which we have to find (roq)3 and (qor)3

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Q: A chef at a local diner wishes to increase the amounts of ingredients shown below to make a proporti...

A: The proportion of black beans to tomatoes in the original recipe is 1 1/2 to 1. The new recipe has ...

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Q: The worldwide sales in millions of hand-held PCs can be modeled by the function P(x) 1.85(x 1998) + ...

A: The given sales function is P ( x ) =1.85(x–1998)+4.

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Q: 72 voters are asked to rank four brands of soup: A, B, C, and D. The votes are summarized in the fol...

A: Since we are entitled to answer up to 3 sub-parts, we’ll answer the first 3 as you have not mentione...

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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.

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Q: Stan paid $580.50 after taxes for a new television. If the sales tax rate is 7.5%, what was the cost...

A: Given, total cost = $580.50 and sales tax rate = 7.5%

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Q: Multiply. Use the distributive property. -2(2a-4b)

A: The given expression is –2(2a–4b).

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Q: You have $1200 for your trip to the beach. You estimate that it will cost $160 a day for food entert...

A: Given:The total amount for the trip to the beach is $1200.The cost of food, entertainment and hotel ...

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Q: Solve for x. 32x-10 -81 The solution set is Enter your answer in the answer box e Quizzes & Tests In...

A: Given that

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Q: is a zero of f(x)=28x +88x-37x-7 2 7 3 Solve the equation 28x +88x-37x-7=0 given that (Use a comma t...

A: Since x=-7/2is a zero of the equation. We can divide the equation by x=-7/2 to get the quadratic equ...

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Q: find the equation of a circle in which the endpoints of the diameter of a circle are at (4,-5) and (...

A: Given: The endpoints of the diameter of a circle are

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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: O LINEAR EQUATIONS AND INEQUALITIES Paul Solving a value mixture problem using a linear equation Esp...

A: Let x be a number of pounds of type A coffee.Here, total number of pounds is 155 and two types of co...

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Q: #33 and #34

A: Note: We are authorized to answer one question at a time, since there are two question, so we are an...

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Q: Chemistry: How much acetic acid is in a 15-liter container of acetic acid and water that is marked ...

A: It is given that, the container contains 15-liters of solution and the given solution contain 60% of...

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Q: Determine whether the given ordered pair is a solution of the system. (3,-5) 2x+ 3y 9 3x-2y 21 solut...

A: We will plug x=3 and y=-5 in 2x+3y=-9 and check if it works. It works.

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Q: Find f(-x)-f(x) for the following function. 3 fx)=x +x-6 fx)-f(x)= (Simplify your answer. Do not fac...

A: Given,

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Q: Number of Students: In a certain school 80% of the students in first-year chemistry have had algebr...

A: Total number of students in first year chemistry is 280.In which, 80% students have had algebra.Ther...

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Q: Solve the given exponential equation. Express the solution set in terms of natural logarithms or com...

A: Given exponential equation is,

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Q: Solve each system by elimination #6

A: The system of equations is given as

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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: Use the leading coefficient test to determine the end behavior of the graph of the given polynomial ...

A: Given:The function is f(x) = 7x7 +2x6 + 8x4 + 8.

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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: In Exercise 4, given each set of numbers, list the a) natural Numbers b) whole numbers c) integers d...

A: Given set of numbers are:Natural numbers:The numbers that are used for counting are called natural n...

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Q: What are the zeros of the function x^2+2x-3 over x^2+3x+2

A: To find the zeroes of the function x2+2x-3 over x2+3x+2.The zeroes of a function are the values such...

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Q: Evaluate the expression without using a calculator. log 24 log 24 Enter your answer in the answer bo...

A: Given information:The given expression is

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Q: solve the system x-y+z=-1 x+y-2z=7 -2x+4y+2z=-4 x= y= z=

A: To solve the systemx-y+z=-1x+y-2z=7-2x-+4y+2z=-4The system of equations are,

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Q: x2 - 4x + 40=0 how do i complete the square in the problem above?

A: We are given equation as

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Q: Condense the expression log4 x + log4 3 to the logarithm of a single term.

A: We will use the addition rule of logarithm.