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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: Use the graph of y f(x) to graph the function g(x)=f(x)-2 Choose the correct graph of g below y fox)...

A: g(x)=f(x)-2 means the graph will move 2 units down.

Q: For f(x) vx and g(x)=x-4, find the following functions. a. (fo g)(x), b. (gof(x); c. (f o g)(5); d. ...

A: Given that two function:

Q: Factor completely 1 1 3 2 (x+ 1) 2 - (x+1)2 (x - 8) 2 (x-8)

A: To factorize the provided algebraic expression which is mentioned below,

Q: Please explain the solution which you will provide in detail. Concentrate on D and E more

A: Since we only answer up to 3 sub-parts and you asked to concentrate on D and E specifically, we’ll a...

Q: A ball is thrown upward and outward from a height of 5 feet. The height of the ball, fx), in feet, c...

A: Given information: A ball is thorwn upwards and outwards from a height of 5 feet. The height of the ...

Q: Christine, Ali, and Henry served a total of 138 orders on Monday at the school cafeteria Henry serve...

A: Given information:Christine, Ali, and Henry served a total of 138 orders on Monday at the school caf...

Q: A particular fruit’s weights are normally distributed, with a mean of 598 grams and a standard devia...

A: Let us define X=Random variable of the fruit's weight with mean=598 grams, standard deviation= 6 gra...

Q: The force needed to keep a car from skidding on a curve varies inversely as the radius of the curve ...

A: Given: The Force (F) that is needed to keep a car from skidding on a curve varies inversely as the r...

Q: In which set(s) of numbers would you find the number√80* irrational number*whole number*rational num...

A: Natural numbers is the set of counting numbers i.e. 1, 2, 3,…So √80 is not present in this set. Whol...

Q: Find the difference quotient and simplify your answer. f(x) = 5x – x2, f(6 + h)-f(6)/h , h ≠ 0 ...

A: To find the difference quotient.The given function is f(x) = 5x – x2.Find f(6+h) and f(6) .

Q: Collect like terms and then arrange them in descending order.-x+5/8+30x^3-x-1/2-3x^3

A: Here the given expression is

Q: x5y7/x-2y7

A: The given expression is x5 y7 / x–2 y7.

Q: Please answer the attached question. Thanks a lot

A: (a)Let T(x) represents the amount of tritium remaining in grams after x years and T(0) represents th...

Q: Use the Rational Zero Theorem to list all possible rational zeros for the given function. fx) -3x-4x...

A: First we have to find all the factors of 6.

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,

Q: Use the given function to complete parts (a) through (e) below -92 f(x)-x At which zeros does the gr...

A: The function is given by,

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...

Q: Find the inverse Step by step explanation on how to perform the row operations to find the inverse.

A: First we write using augmented matrix.

Q: #34

A: (33)Consider the given equation: Ax+By=CTo solve for y, follow the steps:Step 1: subtract Ax from ea...

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

A: The given expression is,

Q: Determine whether the following statement makes sense or does not make sense, and explain your reaso...

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

Q: (3/-6) (-11V-10) 11V - 10

A: To calculate the value of the provided expression which is shown below,

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: O LINEAR EQUATIONS AND INEQUALITIES Paul Solving a compound linttarinequality Interval notation Espa...

A: The first inequality is,

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: The given function is,

Q: If a given line has a slope zero, then what is the slope of the line that is perpendicular to it?

A: If the slope of a line is m, then the slope of the perpendicular line to it is -1/m.

Q: O SYSTEMS OF LINEAR EQUATIONS Solving a word problem using a system of linear equations of. A store ...

A: Let the cost for each pound of trail is $x.Let the cost for each pound of trail is $y.For 9 pounds o...

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: Given the following function (a) find the vertex (b) determine whether there is a maximum or a minim...

A: Note: This question consists of 4 sub parts, we are authorized to answer up to 3 subparts, so we are...

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

A: Given,

Q: Solve the equation for the unknown quantity 19.42 = P(1.2)3

A: First we simplify (1.2)^3.(1.2)^3=1.728

Q: explores the ideas of addition and Let's put these ideas together. Simplify each expression. a. 4x.4...

A: a)Here , we multiply, constants separately and variables separately, and use result ( x^m )(x^n)=x^...

Q: Factor the algebraic expression 4/10 1/10 X - X

A: Given algebraic expression is,x4/10-x1/10

Q: Find the vertex, y-intercept, and x intercepts of the quadratic, and then graph it. y = -x2-4x-3

A: Find the vertex of the quadratic.

Q: Write the equation in its equivalent logarithmic form. 5 125 What is the equivalent logarithmic form...

A: We have to use definition 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: Solve the polynomial inequality and graph the solution set on a real number line. Express the soluti...

A: The given inequality is,

Q: What the square root of 5

A: Find the square root of 5.

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: 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

Q: 8÷2(2+)

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

Q: I am having a math confusion here b2-a over ad+3c a=-2b=5c=-1d=3 I keep coming up with 12 over -9 th...

A: To calculate the value of b2-a over ad+3c where, the value of a=-2, b=5, c=-1 and d=3. Now, substitu...

Q: what is the square root of 291

A: The square root of 291 is,

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: #7

A: Rewrite the given line equation as follows.

Q: Given the graph what are the intervals on which f is one-to-one (Simplify your answer).

A: We have a graph of the function and write the interval where given function 'f' is one-to-one.

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: Write an equation (slope-intercept form) of the line L satisfying the given conditions: 1.) L passes...

A: 1)The slope of line ax+by=c is -a/b, using this we can calculate the slope of given line m1 which is...