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Algebra

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Q: Find f(g(x)) and g(f(x)) and determine whether the pair of functions f and g are inverses of each ot...

A: The given functions are,

Q: fx) = 5x-3 g(x) 2x-1 Let the functions f and g be given by the equations on the right. Evaluate the ...

A: The given functions are f (x) = 5x – 3 and g (x) = 2x – 1.

Q: What is the equation of the function that is obtained from f (x) = | x | by reflecting about the x -...

A: Given information:The given function is

Q: A car rental company charges an initial fee plus an additional fee for each mile driven. The charge ...

A: The charge to rent economy car is given by the function,

Q: Simplify the difference quotients f(x+h)-f(x)/h and f(x)-f(a)/(x-a) for the following function by ra...

A: Here, we find f(x+h) by replacing x by x+h ,substitute the values of f(x+h) and f(x) and then by r...

Q: Solve the logarithmic equation. Be sure to reject any value of x that is not in the domain of the or...

A: We are given logarithmic equation as

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: Find the inverse function of the following: h=f(t)=96t-16t^2

A: It is given that the function h = f(t) = 96t – 16t2.Obtain the inverse of f(t) = 96t – 16t2 as follo...

Q: Let f(x) = 4x2 + 6x -5 and simplify f(2+x)

A: The given function is f (x) = 4x2+6x–5.

Q: Divide. (-6x+8x-3) (x-1) 2 (x-6x +8x-3) (x-1)-L x- 1 (Simplify your answers. Do not factor.) Enter y...

A: The given expression is

Q: #22

A: Given:The point that the line passes through is (3,−5).The equation of the line which is perpendicul...

Q: FUNCTION OPERATIONS AND INVERSES Composition of two functions: Basic Suppose that the functions u an...

A: The given functions are,

Q: Fill in the blank to make the expression a perfect square. 2 12y X

A: The given expression is,

Q: What is 2+2?

A: The given expression is 2+2So it can be rewritten as,

Q: Solve the system. If there is no solution or if there are infinitely many solutions and the system's...

A: Click to see the answer

Q: How do you solve 1/2 +12/x2 > 5/x

A: The given inequality is,

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

A: The given equations are 5xy = 20 and 2y = 5x.

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...

Q: The graph of a function is given. Determine whether the function has an inverse function. Does the g...

A: This graph satisfies vertical line test.

Q: Solve and graph the solution on a number line

A: Given infromation:The given inequality is x-3>1Calculation:x-3>1x>1+3x>4Graph:

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.

Q: Solve for x: 3^x+1 = 27

A: The given equation is,

Q: Last year, Isabel had $20,000 to invest. She invested some of it in an account that paid 7% simple i...

A: Given:Isabel had a total amount of $20,000 to invest.One of her invesetment gave her a 7% interest a...

Q: Find all real zeros of the function f (x) = 4x^3 −3x −1

A: Consider the provided function:

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).

Q: #21 when the wind is blowing at 25mph, a plane flying at a constant speed can travel 500 miles with ...

A: Given:The rate at which the wind is blowing is 25mph.At a constant speed a plan can fly 500 miles at...

Q: 5+2x-x-4+8x

A: To simplify the provided algebraic expression which is provided as 5+2x-x-4+8x. Now, first group the...

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

Q: Solve the inequality (x-3)(x-5)^2<0 Select all the intervals below that are included in the solut...

A: The given inequality is (x-3)(x-5)^2<0

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.

Q: 21 of 30 (4 complete) This Question: 1 pt f Then determine the domain for each function. g Given f(x...

A: Consider the provided functions:

Q: List all values of x for which the rational expression is undefined 12/-3x

A: To calculate the all possible value of x for which the rational expression 12/(-3x) undefined. Now, ...

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: 200 divided by 900 multiply by 100 written as a percentage without a fraction

A: Given statement:200 divided by 900 multiply by 100

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,

Q: You obtain a car loan of $28,500 for 5 years at 4.9% interest compounded monthly. A)You decide to p...

A: A)The loan amount on car loan is $28,500 at the interest of 4.9% for 5 years.In order to find the de...

Q: 20 of 30 (4 complete) This Question: 1 pt Find the domain of the function. f(x)- 2-2x What is the do...

A: Consider the provided function:

Q: A motorboat travels 216km in 4 hours going upstream and 520km in 5 hours going downstream. What is t...

A: let the speed of a boat in still water is u km/hr and the speed of the stream is v km/hr, then:Speed...

Q: Consider the function fx)= -3x +18x-8. Determine, without graphing, whether the function has a minim...

A: The function -3x2+18x-8.

Q: Scientific notation is a common way of writing very large numbers. In everyday life we see this when...

A: Storage space of the phone = 10 gigabytes = 104 megabytes.Size of the game = 76 megabytes.

Q: Divide using long division. State the quotient, qo), and the remainder, r(x). 14x+16x+11x2 2x2+3 14x...

A: Used long division

Q: Simplify (-2y^4)^2(-2x^3y^2z)^3

A: To simplify (-2y^4)^2(-2x^3y^2z)^3.

Q: Word Problems: 1) The Golden Gate Bridge in San Francisco is 2604 feet longer than the Brooklyn Brid...

A: 1.Let the height of Brooklyn bridge be x.Let the height of Golden Gate bridge be y.

Q: Write the equation of the line that has slope m = − 1 and passes through the point (0, 2) . Explain ...

A: Refer to the question the line has slope m = -1 and it passes through the point (0, 2).Then consider...

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: Algebra Question

A: Refer to the question for the given function f(x) = 4x2+12x-40 and g(x) = x + 5. we need to calculat...

Q: |4 - 8(3 - 12)| - |5 - 11| = im having trouble figuring out how to do this problem, should i start w...

A: Yes, the given problem can be start with parenthesis.

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...

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: In this question, we have f(x) = x + 6 and g(x) = , we need to find f + g, f - g, fg, and f/g. we ne...

Q: Mary wants to spend at least 20 minutes a day exercising. Write as an equation.

A: Given:Mary wants to spend at least 20 minutes a day exercising.