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Algebra

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Q: Find the average rate of change of f(x)= 3x^2−x from x1=2 to x2=4

A: The given function is f ( x ) = 3x2 – x and x1 = 2 , x2 = 4. In order to find the average rate of ch...

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.

Q: Graph the following function by making a table of coordinates. If applicable, use a graphing utility...

A: Given information:The given function is

Q: Solve the system for x and y, expressing either value in terms of a, if necessary. Assume that a #0....

A: We are given system of equations

Q: Let D = {b, a, c, k}, E = {t, a, s, k}, F = {b, a, t, h}. Using these sets, find the following:20. F...

A: Let us consider the universal set as set of all alphabets. Then F^c contains all elements os U excep...

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: Jane, Kareem, and Ahmad served a total of 91orders Monday at the school cafeteria. Ahmad served 5 mo...

A: Let x, y and z be the orders serve by Jane, Kareem and Ahmad respectively.Rewrite the sentence as an...

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)....

Q: Suppose that you earned a bachelor’s degree and now you’re teaching high school. The school district...

A: To calculate (a) The amount which is saved at the end of 5 years. (b) The amount of interest. If the...

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...

Q: Use the properties of logarithms to expand the expression as a sum, difference, and/or constant mult...

A: In this question we a have two log expressions which we have to write as a sum, difference, and/or c...

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

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

A: The given expression is,

Q: #14

A: Explore: The admission rate for adults in a water park is $19 and for children, it is $16. The group...

Q: The graph of a quadratic function is given. Match the equation with its graph. fx)-(X + 4)2-1 ) (X-4...

A: (a)We can find vertex of first function

Q: Use the graph to determine (a) open intervals on which the function is increasing, if any. (b) open ...

A: Given graph is,

Q: I am needing help solving the question: The quantity represents a real number. Find any restrictio...

A: Given information:The given equation is 1/2x-5=10

Q: 22828 8 What do you observe? 82843 A decimal approximation for 8 is 2.8284271. Use a calculator to f...

A: We are given

Q: Changing the order in a sequence of transformations may change the final result. Investigate each pa...

A: Horizontal shift; vertical shift: Let f(x) be a function. And we apply horizontal shift c on it. The...

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

A: We will use the addition rule of logarithm.

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:

Q: Convert each of the following base ten numerals in the given base: Convert 67 to base three Convert...

A: To convert 67 base 10 to base three.

Q: Evaluate the expression without using a calculator. log5( log232 log 5 ( log 232) Enter your answer ...

A: Given expression is,

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

A: Click to see the answer

Q: #33

A: The slope-intercept form is y=mx+b. Given that slope=m= 3/5 . And it passes through (-7,-12). We can...

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

A: The given expression is –2(2a–4b).

Q: The length of one leg of a right triangle is 12 meters. The length of the hypotenuse is 8 meters lon...

A: Given information:The length of one leg of a right triangle is 12 meters. The length of the hypotenu...

Q: How many quarts of pure antifreeze must be added to 7 quarts of 40% antifreeze solution to obtain a ...

A: Let us add x quarts of pure antifreeze to the 7 quarts of 40% antifreeze, to achieve 50% antifreeze ...

Q: #1

A: The given pair of equation are 2x +5y = 4 and 4x +10y = 1.

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

A: Given,

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

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

Q: Determine algebraically whether f and g are inverse functions. f(x) = 5x - 3 g(x)= x+3/5

A: Given:The functions f(x) = 5x - 3 and g(x) = (x+3)/5

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

A: The parent function can be identified by removing the constants and coefficients from the given func...

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

A: First we use the definition of logarithm to get rid of log.

Q: 8*2(2+2)

A: To simplify the expression, the PEMDAS rule is used.PEMDAS stands for Parenthesis, Exponents, Multip...

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

A: The given system of equation is,

Q: what is 2-5

A: In this question we have to explain what the value is of 2 - 5

Q: #58

A: Given,

Q: 3 Express the given function h as a composition of two functions f and g so that h(x) =(fo g)(x), wh...

A: Given that h as a composition of two functions f and g.

Q: A decimal approximation for 8 is 2.8284271. Use a calculator to find 28 22.83 22.828 22.82843 and 22...

A: We are given

Q: I want to start a lemonade stand and determine how much lemonade I need to sell to break even each d...

A: Let you have to sell x glasses. Each glass costs $0.50. So x glasses cost $0.50x.

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: #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,...

Q: When solving systems of we have at least two unknowns. A common example of a system of equations is ...

A: The unknowns in the given system are the quantities of water and cleaner.

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

A: It is given that the equation is passing through the point (6,-4) and perpendicular to the line x-4y...

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

A: We have been given a system of linear equation in 3 variables that we need to solve.

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

A: Let she received x calls on the first evening. The third evening she received 8 calls more than the ...

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.