d, You have $1200 f entertainment and hotel, plus $230 round trip air fair or your trip to the beach. You estimate that it will cost $160 a day for foo of days you 2. Write an inequality that can be used to determine the maximum number can stay at the beach. Clearly indicate with the variable represents. a. b. Solve the inecquality, and interpret your answer in a complete sentence b. 3. Let p represent card to Toys R Us for her birthday. the marked price of an item at Toys R Us. Bella's aunt gave her a $100 gift p a. If sales tax is currently 9%, set up an algebraic inequality to express how much she can spend using her gift card. Clearly indicate what the variable represents. b. Solve the inequality, and interpret your answer in a complete sentence. Your car is worth $1000 at most. It is old. You find out that it needs repairs to pass nspection. The auto shop tells you that the parts cost a total of $520, and the labor cost is 68 per hour. If the repairs are more than the car is worth, you are going to donate the car to harity Write an inequality that can be used to determine the maximum number of hours the mechanic can spend working on your car to help you decide to repair it or donatei Clearly indicate what the variable represents. Solve the inequality, and interpret your answer in a comnlet

Q: O SYSTEMS OF LINEAR EQUATIONS Paul Solving a value mixture problem using a system of linear equ Espa...

A: It is given that the first car has fuel efficiency of 20 miles per gallon of gas and the second car ...

Q: 33 and 34

A: (13)      Let Felix invests $ x amount at 7% annual interest and then according to question, the amo...

Q: First find f+ g, f-g, fg and Then determine the dormain for each function. 9 9x+5 8x+3 f(x)= g(x)= 2...

A:  The functions are

Q: Solve the system of liner equations by any method. {X=3y+5 {4x-12y=20

A: The given system of equation is,

Q: Given the function f(x) = vx-7, (a) Find f (x) (b) Graph f and f (c) Use interval notation to give t...

A: We first replace f(x) by y. Then we switch x and y and solve for y. This new y is replaced by f^-1(x...

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

A: Given:The function is 

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

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A: The given function is,

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A: The proportion of black beans to tomatoes in the original recipe is 1 1/2 to 1.  The new recipe has ...

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A: Let a   be the cost of advance ticket and s be the cost of of same day.It is given that combined cos...

Q: Problem 6.37

A: Since f(x) is of degree 5, then f(x)-1 is also of degree 5. And given that f(x)-1 is divisible by (x...

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A: Find the all real zeros of the given function.

Q: 2 47) Use the graph of f(x) shown to the right to solve: a) f(x)-0 b) f(x)<0 y-f(x)

A: a) Consider the given function to be y = f(x). Solve the equation f(x) = 0 using the given graph as ...

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: X2-x-4=0

A: Given,  

Q: Ay 6 Use the graphs of f and g to find (f+g)(2) f+g)/2) 12 6-5-4 -32 12 345 6 fx) -6 Enter your anSw...

A: Observe from the figure and find the value of the functions f and g at the point 2.

Q: 4 y-fx) 36) Use the graph of the quadratic function to write it as: f(x)-a(x -h)'+k 26 -4-2

A: The graph is downwards parabola whose equation is (y-k)=a(x-h)^2, where (h,k) is the vertex of parab...

Q: Does the relation y(x + y) = 1 specify a function? Explain.

A: From y(x+y)=1 we try to solve for y first.  Used the quadratic formula to solve for y.

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

A: Since we are entitled to answer up to 3 sub-parts, we’ll answer the first 3 as you have not mentione...

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

Q: In the following exercise, find the coordinates of the vertex for the parabola defined by the given ...

A: We are given equation of parabola as 

Q: 6. For the given functions f and g, algebraically find (f-g)(x) f(x) = -5x3- 7x2 - 8x g(x) = 12x3- 6...

A: Given, 

Q: The length of a rectangle is seven more than it’s width. If the area of the rectangle is 170sq cm, w...

A: Let the width of a rectangle be x cm.Then the length will be (x + 7) cm             [because, length...

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

A: To show f and g are inverse functions, we have to show f(g(x))=x and g(f(x))=x. 

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: Find the coordinates of the vertex of the quadratic functions beneath:   y=3x2 y=3x2-2 y=-x2+3

A: (a)We can compare with quadratic equations and find a , b and c 

Q: Solve for x: e^ x^ 2+6 = e^5x

A: Given expression is

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: A woman earned wages of $40,400, received $2000 in interest from a savings​ account, and contributed...

A: (a) To determine the person’s gross income.The gross income consists of the total income, the total ...

Q: Why is rounding a number important?

A: Rounding is a way of simplifying a number to make that easier to understand and work with.Moreover i...

Q: Shown to the right is a scatter plot that indicates a relationship between the percentage of adult f...

A: Indicated points are (0,250) and (60,160).Slope= -1.5 and y intercept= 250.Answer(a): f(x)= -1.5x+25...

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A: The basic definition of a function is that for every unique input x there is a unique output y.the v...

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A: Given expression is, 

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: Lashonda's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs L...

A: According to the given information, the cost information of the coffee bleands in given below:Cost o...

Q: Aldo is walking. The number of calories he has burned varies directly with the number of minutes he ...

A: The number of calories burned by Aldo in one minute.As per graph, Aldo burn 12 units of calories in ...

Q: O EXPONENTIAL AND LOGARITHMIC FUNCTIONS Paul Graphing an exponential function and its aymptote: f(x)...

A: Given function is: For the given function when x = -2 For the given function when x = -1 For the giv...

Q: Given the polynomial function  H(x)=1/2(x-1)^2(x+1)(x-2) write all intercepts as ordered pairs inclu...

A: To calculate the all intercepts in ordered pair including the end behaviour and H if the provided po...

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A: The given sales function is P ( x ) =1.85(x–1998)+4.

Q: #7

A: Rewrite the given line equation as follows.

Q: A Web music store offers two versions of a popular song. The size of the standard version is 2.2 meg...

A: It is given that the size of the standard version is 2.2 MB and the size of the high quality version...