A lawn-mowing company is trying to grow its business. It had 30 clients when they started its business and wants to increase by 6 new clients each week. Use an arithmetic sequence to write a function to represent this real-world situation and determine the range of the function for the first four weeks of data. f(x) = 6x + 30; 0 ≤ y ≤ 4 f(x) = 6x + 24; 0 ≤ y ≤ 4 f(x) = 6x + 30; 30 ≤ y ≤ 48 f(x) = 6x + 24; 30 ≤ y ≤ 48

Q: A coffee shop finds that at the price of $3.00, demand for their popular cappuccino drink is 3000…

A: Given that: At price of $3.00, demand = 3000 cups a year.For every $0.25 decrease in price, demand…

Q: let C( x)  be the cost to produce x batches of widgets, and let R(x)  be the revenue in thousands of…

A: Given, Rx=-45x2+10x and Cx=2x+15. a) The graph of Rx=-45x2+10x and Cx=2x+15 is as follows:

Q: Use the graph of the greatest integer function y =⌊x⌋

A: The graph of y =⌊x⌋ is:

Q: what is the decreasing interval for the following function: y = -1/4x-5

A: The given function is: y=-14x-5 The function f(x) decreases when f'(x) < 0.

Q: The weekly profit, P, of a video rental store can be approximated by the formula P = 1.5n - 350,…

A:

Q: What is the horizontal asymptote of the function y = 5 (2)-7) +3

A: Consider the given function y=52x-7+3 Since a line y=a is a horizontal asymptote of the function…

Q: If the total revenue function for a computer is R(x) = 2600x - 11x2 - x3, find the level of sales,…

A: Given problem:- If the total revenue function for a computer is R(x) = 2600x - 11x2 - x3 find the…

Q: Graph the function for the given domaln. y =x2-3 D-3,-2-1,0,1) y 7. 3 -1 -2 -3 -5 -6 -7 -8 -8 -7 -6…

A: The given function is y=x2-3 and domain D={-3,-2,-1,0,1}

Q: For a particular financial methodology, the risk-reward function was defined as y=x(Inx-2), where y…

A:

Q: the function Increasing, Decreasing, or Both?  Is the function Even, Odd, or Neither?  What is the…

A: The function is decreasing in its domain.    The function is neither even nor odd.    Vertical…

Q: A manufacturing company that can produce from one up to forty per day, has estimated the following…

A:

Q: What is the end behavior of the graph of f(x) = - 0.5x2 - 3x - 4? O A. as x increases, f(x)…

A:

Q: Use the graph to determine the equation of the vertical asymptote: -5 -4 -3 -2 -1 3 4 -2 -4 -5

A:

Q: During a flu epidemic, the total number of students on a state university campus who had contracted…

A:

Q: Draw the graph of the function y = [x], where [x] denotes the greatest integer not greater than x.

A: Explanation: We will graph the function y = [x]

Q: 2. Graph the function: f(x) = S 3x 3x if x < -1 (2x +1 if -1 < x < 3 -2+ -3+ -5+ -6+ -7+ -8+ -9+

A:

Q: nd the vertex and axis of symmetry of the graph of the function. =x + 8x + 7 A. (-4,9); x= - 4 B.…

A:

Q: Use the graph of f(x) → 3x² to obtain the graph of h(x) =: 2.

A: Given :      f(x) = 3x2       h(x) = 1/3 x2

Q: The graph of f(x) = x2_______ to the left and_______ to the right.

A: The graph of f(x) = x2_______ to the left and_______ to the right.

Q: For a particular financial methodology, the risk-reward function was defined as y=x(Inx-2), where y…

A: The risk-reward function,    y=xlnx-2y=units of reward, x=units of risk

Q: Find the interval in which the following function is decreasing: 3 -1 1 -1 -2 -3

A: A function f is said to be increasing  if f(x1)&lt;f(x2) for x1&lt;x2 and x1,x2 belonging to the…

Q: (d) Find the interval where the graph of y = x³ + 2x² – 4 is decreasing and concave - up.

A:

Q: 7. Amarket analyst working for a small-appliance manufacturer finds that if the firm produces and…

A: Note: According to bartleby we have to answer only first three subparts please upload the question…

Q: The weekly profit, P, of a video rental store can be approximated by the formula P = 1.5n - 350,…

A: Given that: P=1.5n-350

Q: Form a profit function for the following cost and revenue functions and find the maximum profit c(x)…

A: The cost function c(x) = 15000+35x+0.1x² and  Revenue function  R(x) = 385x-0.9x² are given

Q: C(x)=25x+2200represents the total cost function, and R(x)=50x represents the total revenue function.…

A:

Q: Use the graph to determine the equation of the vertical asymptote: 15 4 -5 -4 -3 -2-1 4 5 -2 -3 -4-…

A: On the left side of x=-1 the graph is going towards negative infinity. And on the right side, it is…

Q: Suppose that the percent p (as a decimal) of people who could correctly identify two of eight…

A: p(t)=1.6tt2+16+0.07

Q: The graph of f(x) = x3_______ to the left and______ to the right.

A: Given function - f(x) = x3Let us draw the curve for the point x=-5 to x=5, by finding corresponding…

Q: Given the profit function P(x)= 500x - x^2/ 100, where x is the number of units sold. Find the x to…

A:

Q: Find the minimum value of the function f(x) = 2x^2 - 7x - 9.

A: Given: f(x) = 2x² - 7x - 9

Q: The demand for a new computer game can be modeled by p(x) = 59.5 -7 In x, for 0sxs800, where p(x) is…

A:

Q: Determine the intervals of increase/decrease for the function f(x) = x² -12

A:

Q: A supply company charges for 90-liter drums using the demand function p(x)=20.9−1.6x  What is the…

A: Given that demand function is: p(x) = 20.9 - 1.6x we need to write the revenue function.

Q: Find the point of diminishing returns for the function, where R is the revenue (in thousands of…

A: Revenue function, R(x)=-49x3+4x2+8, 0≤x≤5 To find the diminishing return, we shall use second…

Q: Determine where the graph of f(x) = |x - 3| is increasing and where it is decreasing.

A: To determine: The intervals where the function f(x)=x-3is increasing and decreasing. Given…

Q: What is the end behavior of the graph of f(x) = – 0.5x2 – 3x – 4? A.as x increases, f(x) increases;…

A: The given function is

Q: 3. Determine the points in which the function shifts from increasing to decreasing and vice- versa.…

A: Let's find.

Q: Suppose that for a certain company C(x) = 25x+ 400,000 represents the total cost function, and R(x)…

A: Given:- Suppose that a certain company, C(x)=25x+400,000 represent the total cost function R(x)=65x…

Q: All units in a 100-unit apartment building are rented out when the monthly rent is set at r =…

A:

Q: (i) Find the formula for the function graphed. 4+ 3- (2,2) 24 5 4 12 3 45 1+ 24 3+ -4

A: Let the point (0,0) be O, (2,2) be A and (4,0) be B. Substitute 0 for y1 ,2 for y2,0 for x1 and 2…

Q: Suppose a firm’s profit function is given by π(q)=(1526*q-1*q^2 )-(1*q^2+11*q). What is the profit…

A: First, differentiate the profit function πq=1526q-q2-q2+11q with respect to q to maximize profit.…

Q: Use the graph of the greatest integer function y =⌊x⌋

A:

Q: Consider the following total revenue function for a hammer. R = 20x - 0.01x2 (a) The sale of how…

A:

Q: What is the vertical aymptote of the graph f(x) = x+3/x^2-9

A: Given: The function is fx=x+3x2-9   To determine: The vertical asymptote of the function fx=x+3x2-9

Q: Graph f(x)=-5(2)^x+2 and its reflection about its horizontal asymptote.

A:

Q: A company producing stereos can produce a stereo for $117 on top of the company's annual fixed cost…

A:

Q: y fx) 4 3 21 -5-4-3-2-1 x- 1 2 3 4 5 -2 On what interval(s) is fincreasing? How about decreasing? 1.

A: Let's find.

Q: Use the graph to determine open interval on which the function is decreasing, if any. Ay 3- 2- 1-…

A: Decreasing interval: Interval in which graph goes down.

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.