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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)...

Q: Over the last 3 evenings, Amanda received a total of 77 phone calls at the call center. The third ev...

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A: We can rewrite the equation y=mx+b in the form mx-y+0z=-b

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Q: #9 Directions: Write the equation of the line in S.I. and S.F.

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Q: In the following exercise, find the coordinates of the vertex for the parabola defined by the given ...

A: We are given equation of parabola as

Q: Use the One-to-One Property to solve the equation for x. ex2-4 = e3x

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Q: The graph to the right is a complete graph, that is, it is continuous and displays the function's en...

A: Explanation:(b)From the given graph, it is observed that the graph of the function is rising towards...

Q: Let x represent one number and let y represent the other number. The sum of two numbers is 9. If one...

A: Given x and y are two numbers.Sum of x and y= x+y. So, x+y=9

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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A: Adding second and third equation

Q: how to simplify 3/2-8

A: Refer to the question, we need to simplify the provided expression,

Q: # 41 # 42

A: Find the invested amount in both accounts.Let P be the principal amount.Here, the total simple inter...

Q: (1/12x4+5/8x3+5/8x2+4)+(-7/12x4+3/8x2-4)=

A: Firstly, we remove the brackets and then we collect the like terms and solve as shown on board.

Q: Find an equation of the circle whose diameter has endpoints (-5, -6) and (1, -6). ? X

A: Center is the mid point of (-5,-6) and (1,-6). Center =(-2,-6)

Q: #32

A: Question: To write the equation of a line in Slope-Intercept form and Standard form that has a slope...

Q: Consider the function f(x)-9x-9x Determine, without graphing, whether the function has a minimum val...

A: We are given a function as

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...

Q: The length of a rectangle is 3 feet less than 4 times its width. If the perimeter of the rectangle ...

A: Given that length of the rectangle is 3 feet less than 4 times its width and the perimeter of the re...

Q: Find the quadratic function y = ax + bx + c whose graph passes through the given points. (-2,0). (1,...

A: Given information:The three points are as follows:(-2,0),(1,0) and (3,10)

Q: Use the graph of y f(x) to graph the function g(x)=f(x + 4) Choose the correct graph of g below y fx...

A: Refer to the question, with the use of the provided graph of y = f(X) we have to find the graph of t...

Q: Use properties of logarithms to expand the logarithmic expression as much as possible. Where possibl...

A: We first use division property of logarithm.

Q: For fx) = Vx and g(x) = x + 4, find b. the domain of fo g a. (fo g)(x) (f o g)(x) a. (Simplify your ...

A: Given that two functions:

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: A traveling salesman figures it costs 31 cents for every mile he drives his car. How much does it co...

A: From given information, observe that the cost to travel for one mile is 31 cents.Compute the cost to...

Q: With the wind, a plane flew 425 miles in the same time that it took to fly 375 miles against the win...

A: Let x denote the speed of the plane. The speed of the plane with the wind is x +10 and the speed of ...

Q: Fill in the blank so that the resulting statement is true. To divide x + 4x-3x +8 by x-5 using synth...

A: The given polynomial is x3+4x2-3x+8.

Q: how do i find the domain of this rational function f(x)=2x/(2x+7)

A: We are given function as

Q: Condense the expression to the logarithm of a single quantity (a) ln2+ln x

A: The given expression is,

Q: How do I solve 6x/x-6 =9 +7x2/x-6?

A: Click to see the answer

Q: Solve the rational inequality and graph the solution set on a real number line. Express the solution...

A: Given,

Q: Write the quotient in standard form: f (x) = 5+i / 5−i

A: we are given a complex value as

Q: Solve the inequality and graph the solution set on a real number line. Express the solution set in i...

A: First solve the given inequality as follows.

Q: A sample of 125 light bulbs contained 3 defective bulbs. How many defective bulbs would you expect i...

A: Given infromation:A sample of 125 light bulbs contained 3 defective bulbs.Calculate:P(defective)=3/1...

Q: Consider the arithmetic sequence with the first term ai = 300 and common difference d=-90. What are ...

A: In an arithmetic sequence the terms can be obtained by adding the common difference to the previous ...

Q: Simplify the expression 4 (10n^2-2) -5 (8n^2+4)

A: Consider the given expression

Q: I am having difficulty with problems involving piecewise. Can I be helped in a step-by-step tutoring...

A: Piecewise functions are: pieces of different functions (sub-functions) all on one graph. The easiest...

Q: Find the quadratic function y=ax+bx+ c whose graph passes through the given points (3,29), (2,-26), ...

A: We have been given three ordered points and we need to find a quadratic function passing through tho...

Q: Determine the domain of the function f (x) = x − 2x + 8

A: The given function is f(x) =x–2x+8.

Q: 50) Use the graph of f(x) shown for the following: a) Identify x values where: f(xs undefined f(x)=0...

A: a) It is clear from graph, if x approaches 1 from left , f(x) approaches -infinity and if x approach...

Q: Find the domain of the following rational function. 19x +X H() +8 Select the comect choice below and...

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Q: (7)(-8)_____-14

A: Consider the given rational expression:Factorizing the numerator and denominator and then cancelling...

Q: Add (0.04x5-0.4x2+x+0.07)+ (-0.03x5+x3-0.8x-005)

A: Firstly, we remove the brackets , and then we collect the like terms and solve.

Q: Find the midpoint M of the line segment joining the points A=(1,-2) B=(-7,-8)

A: The given points are…A=(1,-2 ) and B=(-7,-8)The formula to calculate mid-point is…

Q: One number is seven less than four times another number. If their sum is 103. Find both numbers.

A: The given statement is

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...

Q: what are the steps to solve an equation of quadratic type:2X+9√X=5

A: Given,

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...

Q: If x^3=3x^2, then what is x using the Zero-Product rule?

A: Given that x3 = 3x2.