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Q: FUNCTION OPERATIONS AND INVERSES Composition of two functions: Basic Suppose that the functions u an...

A: The given functions are,

Q: Question H An athlete whose event is the shot put releases a shot. When the shot whose path is shown...

A: Given infromation:An athlete whose event is the shot put release a shot. When the shot whose path is...

Q: Solve the system. -5x y= 13 y-22=-5 X- 2y + Z= 5 Select the correct choice below and fill in any ans...

A: We are given system of equations as

Q: Use the Intermediate Value Theorem to show that the polynomial f(x) =2x"-11x +4 has a real: zero bet...

A: We first have to find f(-2).

Q: find an equation of a circle whose diameter has the endpoints (1,2) and (-1,-6)

A: Given that, the endpoints of the diameter of a circle is at (1,2) and (–1,–6).

Q: graph the parabola y=(x-5)2-2

A: Consider the given equation

Q: 33) Use the numerical representation of f(x) below to give a numerical representation of g(x)-f(2x) ...

A: To evaluate g(x) at various points using the definition in terms of f(x)

Q: Graph functions f and g in the same rectangular coordinate system. Graph and give the equations of a...

A: Graphed them using graphing calculator. Red line is y=3^x and blue line is y=(1/2)*(3^x)

Q: The drag force F on a boat varies jointly with the wet surface area A of the boat and the square of ...

A: Drag force F directly varies with surface area A and square of the speed s.Wet surface area of boat ...

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

A: Given:The functions f(x) = 5x - 3 and g(x) = (x+3)/5

Q: Please show step by step how to work out all asymptotes for f(x)=3^x-1

A: Vertical asymptote:The points at which the denominator is 0 or does not exist is the vertical asympt...

Q: A family has two cars. The first car has a fuel efficiency of 40 miles per gallon of gas and the sec...

A: Total gas consumption in the given week is 40 gallons.

Q: #18

A: Refer to question 18 to determine whether the graphs with equation x+5y=-6 and y=5x-8 are parallel, ...

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

A: Given exponential equation is,

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

A: Find the space in a phone storage after downloads a game..

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: A sample of 125 light bulbs contained 3 defective bulbs. How many defective bulbs would you expect i...

A: Given infromation:A sample of 125 light bulbs contained 3 defective bulbs.Calculate:P(defective)=3/1...

Q: Solve each system by elimination #6

A: The system of equations is given as

Q: Create a Venn diagram to illustrate each of the following:26. (D ⋃ E)c ⋂ F

A: The shaded area is (D U E)

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: Simplify the expression 4 (10n^2-2) -5 (8n^2+4)

A: Consider the given expression

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: O LINEAR EQUATIONS AND INEQUALITIES Paul Solving a compound linear inequality: Interval notation Esp...

A: We first solve for x from 4x+1>=21

Q: #1

A: The given pair of equation are 2x +5y = 4 and 4x +10y = 1.

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: 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: Find the vertical asymptotes, if any, and the values of x corresponding to holes, if any, of the gra...

A: Calculation:Simplify the given function as follows.

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: 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: 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: 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: 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: 35) Complete the table below to create an odd function f. x 60 246 3 -12 f(x)

A: Given:The function is an odd function.That is, f(-x) = -(f(x)).

Q: #7

A: Rewrite the given line equation as follows.

Q: On a reality tv show, an officer is traveling 90 mph. He is chasing Jennifer who which had a 3 min h...

A: An officer is traveling 90 mph. He is chasing Jennifer who which had a 3 min head start before him. ...

Q: The mass of a radioactive substance follows a continuous exponential decay model, with a decay rate ...

A: We are given decaying rate r=7%r=0.07

Q: If x^3=3x^2, then what is x using the Zero-Product rule?

A: Given that x3 = 3x2.

Q: Find the indicated difference quotient and simplify your answer. f (x) = x 3 +3x, f (x +h)− f (x) /h...

A: Using given f(x) first find f(x+h).

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: Given the functions f(x)=3x-5 , g(x)=2x^2-4x+8 , h(x)=30(1.5)^x , p(x)=5x-4/x-2 evaluate the followi...

A: Given the function f(x)=3x-5 and h(x)=30(1.5)x.And, Now simplifying the composition of the two func...

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

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

Q: Two angles are supplementary if the sum of their angles is 180 degrees. One of two supplementary ang...

A: To calculate the value of two supplement angle. If the sum of two supplementary angle is 180o. In th...

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: #14

A: Explore: The admission rate for adults in a water park is $19 and for children, it is $16. The group...

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: Here, we find f(x+h) by replacing x by x+h ,substitute the values of f(x+h) and f(x) and then by r...

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: A car rental company charges an initial fee plus an additional fee for each mile driven. The charge ...

A: The charge to rent economy car is given by the function,

Q: Evaluate the expression without using a calculator. log 2 log2- Enter your answer in the answer box....

A: We first use exponent rule of logarithm. The exponent becomes coefficient.