Considor thu rational tnction. fx) a tind w vertical asymotote (6) b) Find the hontontal arsumptofe(3) C) Find the hole(s) d) Find thex-intercept (s CFin

Q: Find the coordinates of the vertex of the quadratic function: y=x2+3

A: The quadratic equation is given by,

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: O LINES AND FUNCTIONS OD Paul Combining functions to write a new function that models a re... Españo...

A: Given information:The standard charge S (in dollars) is given by the function S=18.95+0.50M, where M...

Q: What is 2+2?

A: The given expression is 2+2So it can be rewritten as,

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: Solve and graph the solution on a number line

A: We are given an inequality as 

Q: Solve for y in the equation below.Round your answer to the nearest hundredth.Do not round any interm...

A: Consider the given equation

Q: Aki's Bicycle Designs has determined that when x hundred bicycles are built , the average cost per b...

A: Consider the provided cost function.

Q: Determine the domain of the function f (x) = 1 − x.

A: The domain of f(x)=1-x is the possible values of x.

Q: The graph to the right is a complete graph, that is, it is continuous and displays the function's en...

A: Calculation:If the multiplicity is odd the graph will cross the x-axis at that zero. That is, it wil...

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

A: The given function is,

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: How do you solve 1/2 +12/x2 > 5/x

A: The given inequality is,

Q: How do you find the zeros and multiplicity of the function x^3+5x^2+7x+3 given that one zero is -1

A: Consider the given function:

Q: Let A1, A2 and A3 be mutually exclusive and exhaustive events of some sample space S, where P(A1) = ...

A: In this question, it has been given that A1, A2 and A3 are mutually exclusive and exhaustive events....

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: The monthly rent of a 80 square meter apartment in Monte Carlo is 1150 euros. The monthly rent on a ...

A: Consider that apartment in monte carlo cost 1150Euros for each 80m2.If apartment in Santa Fe, New me...

Q: 3m+24=6m-3

A: Firstly, we subtract 6m from both sides of equation and then we subtract 24 from both sides

Q: (x+9)/8 = 5/4 +(x-3)/2

A: To calculate the value of x from the provided equation which is shown below,

Q: Determine whether each proportion is true or false. 27) 8/10 = 2/5/2

A: The given proportion is 8/10=2/5/2.It can be written as 8:10=2:5/2.

Q: Mary wants to spend at least 20 minutes a day exercising. Write as an equation.

A: Given:Mary wants to spend at least 20 minutes a day exercising.

Q: 6) An office manager booked 55 airline tickets, divided among three airlines. He booked 7 more ticke...

A: Let the number of ticket that an office manager booked on United airlines be x.Let the number of tic...

Q: The functions f(x)=0.0875x-1.3x + 61.7 and g(x)=0.0875x +1.9x +11.1 model a car's stopping distance,...

A: (a) For x=35 we have to find f(35).Answer: Stopping distance on dry pavement = 123 feet.

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

A: Calculation:The given quadratic function is f(x)=4(x–5)²–3 , which is the parabola.let the function ...

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: x2-5x+6=0. find the value of x

A: Obtain the value of x as follows.

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: Find all real zeros of the function f (y) = 4y^ 3 +3y ^2 +8y +6

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

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

A: Storage space of the phone = 10 gigabytes = 104 megabytes.Size of the game = 76 megabytes.

Q: Why do we need to fill in the second row before we fill the formula down?

A: In any question which demand the excel sheet the first step is to be all the data as the formulas wo...

Q: Use properties of logarithms to expand the logarithmic expression as much as possible. Where possibl...

A: We first use division property of logarithm. 

Q: I caught 25 ducks and tagged them and let them go in a refuge. one month later i catch 70 ducks. I f...

A: The number of ducks caught first time is 25.The number of ducks caught second time is 70. But 6 of t...

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: 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: Two mechanics worked on a car. The first mechanic worked for 20 hours, and the second mechanic worke...

A: Let the first mechanic charged $x per hour. And the second mechanic charged $y per hour. Given that ...

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: Janet​, an experienced shipping​ clerk, can fill a certain order in 12 hours. Bill​, a new​ clerk, n...

A:

Q: A pet store offered a baby monkey for sale at $1.25. The monkey grew, and the next week it was offer...

A: The amount of baby monkey is $1.25; the next week it is offered at $1.89.Then, raised to $5.13, then...

Q:

A: The given quadratic equation is,

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: Solve for x: 3^x+1 = 27

A: The given equation is,

Q: 6 and g(x) = X find the following functions For f(x)= X a. (fo g)(x), b. (g o f)(x), c. (f o g)(7), ...

A: The given functions are

Q: For what value of x is ​g(x)=−5​? please see attached

A: We first find the point which has y=-5That point is (6,-5)

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

A: In order to subtract the exponents, first check the base of the both exponents are same or not.If th...

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: How many quarts of pure antifreeze must be added to 3 quarts of a 10% antifreeze solution to obtain ...

A: Calculation:let x be the  required  amount of  pure antifreeze solution.Write a decimal equivalent m...

Q: The bar graph to the right shows the average number of hours that people sleep per day, by age group...

A: We are given a bar graph

Q: #6

A: Any line parallel to 7x+y=3 will have form 7x+y=k.

Q: Use properties of logarithms to expand the logarithmic expression as much as possible. Where possibl...

A: we are given log expression