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Q: The profit of a company in dollars, is the difference between the company's revenue and cost. The c...

A: From the given information, it is observed that the revenue is R(x) = 810x – x^2 and the cost is C(x...

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 equations are,

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: 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 ...

Q: The whole number p is greather than 0, a multiple of 6, and a factor of 180. Hoe many possibilities ...

A: Since the number should be multiple of 6 and factor of 180 so the prime factorization of 180 is,

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%

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

A: Given exponential equation is,

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

A: Let x be the number of liters of water and y be the number of liters of cleaner.Then the first equat...

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: Solve the given system of equations. 5x+2y-5z 7 3x-4y+3z -31 6x-5y+ 6z - 59 Select the correct choic...

A: Method of Substitution:

Q: 2x+7 The function x-9 X#9, is one-to-one. Find an equation for f (x), the inverse function. 0)x2 (Si...

A: Consider the given one-to-one function:

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

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

Q: Given the function f(x) = vx-7, (a) Find f (x). (b) Graph f andf in the same rectangular coordinate ...

A: (a)Consider the given function:

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

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

Q: Graph the circle 4x^2+4y^2+8x-24y+31=0

A: The given circle equation is

Q: A boat's crew rowed 72 kilometers downstream, with the current, in 4 hours. The return trip upstream...

A: Let's assume x is average rowing velocity of the crew in still watery is average velocity of the cu...

Q: Determine whether the following equation is true or false. If the statement is false, make the neces...

A: Given statement is,

Q: For # 37 #37) points (-7, 4) and (0, -8)

A: In this question we have the two points (-7,4) and (0, -8)We need to find the equation in slope inte...

Q: A ball is thrown in the air from the top of a building. Its height, in meters above ground, as a fun...

A: (a)We have to find the time taken by the ball to reach at maximum height.The height function of the ...

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|.

Q: Solve the compound inequality. -3v 6 2v-4 4 or Write the solution in interval notation If there is n...

A: The compounded inequality is given by,

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

A: (1)It is given that phone has 10 GB (gigabytes) free storage:Since,

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

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

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

A: {x | x > −2}

Q: Question: consider the function f(x)=3^x-1 graph showing the asymptote

A: The given function is f (x) = 3x–1.

Q: Use the given function to complete parts (a) through (e) below. f(x)-x-9x2 O Even, y-axis symmetry O...

A: The given function is,

Q: The graph of a quadratic function is given. Write the function's equation, selecting from the follow...

A: The given quadratic equations are as follows.j(x)=-x²–49, f(x)=x²+14x+49, h(x)=x²–49, g(x)=x²–14x+49...

Q: 8 of 30 (4 complete) This T The domain of the piecewise function is (-co,co). a. Graph the function....

A: a.Use the online graphing calculator and draw the graph of the function as shown below.

Q: Sketch the graph of f (x) = 3 x +1

A: The given function is,

Q: A local sandwich store has a fixed weekly cost of $570.00, and variable costs for making a roast bee...

A: One sandwich costs $0.45 So, x sandwichs cost $0.45x.Fixed cost is $570So, weekly cost= 0.45x+570Ans...

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

A: We are given equation as

Q: a. Rewrite the equation 5x + y +4 0 in slope-intercept form. b. Give the slope and y-intercept. c. U...

A: a. The given equation is 5x + y + 4 = 0. The slope intercept form of the linear equation is y = mx +...

Q: Suppose that the local sales tax rate is 6% and you purchase a car for $29,100. a. How much tax is p...

A: GivenThe sales tax is 6% of the price of the car.The price of the car is $29,100.

Q: Explain why it is important to understand the base for a number as well as the value.

A: In the standard numerical system, the base is the number which is used to represent the value of the...

Q: The parent function f(x)= x3 is related to g. Use function notation to write g in terms of f. g(x...

A: The parent function is given by,

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: Approximate the number using a calculator. 2.3 2.3 e (Round to three decimal places.) Enter your ans...

A: We first plug e^2.3 in the calculator.

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

A: Let x be the number of glasses of lemonades.Given that, $0.50 per glass is spent for lemonade each d...

Q: Simplify the difference quotient f(x)−f(a)/x−a for the given function. f(x)=2-6x-x^2

A: The given function is f (x) = 2– 6x – x2. Substitute x = a in f (x) = 2– 6x – x2 to obtain f (a). f ...

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: 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: Solve and graph the solution on a number line: x-3>1

A: We are given an inequality as

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

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

Q: Use the tables to evaluate: a) (Ug)(-1) b) (f o g)00) e) g-0) 7) x-1 0 1 2 g(x) 2 10 1 x-1 0 1 2

A: Calculation:a)Compute the value of (fg)(-1) as follows.(fg)(-1) = f(-1) × g(-1) ...

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: #98

A: Consider the provided formula.