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Q: For each equation, determine whether it represents a direct variation, an inverse variation, or neit...

A: a)The given equation is 21x+3y=0.Rewrite 21x+3y=0 as follows.

Q: #21 when the wind is blowing at 25mph, a plane flying at a constant speed can travel 500 miles with ...

A: Given:The rate at which the wind is blowing is 25mph.At a constant speed a plan can fly 500 miles at...

Q: You obtain a car loan of $28,500 for 5 years at 4.9% interest compounded monthly. A)You decide to p...

A: A)The loan amount on car loan is $28,500 at the interest of 4.9% for 5 years.In order to find the de...

Q: Given the function f(x) = x-15, x2 0, (a) Find f (x). (b) Graph f and f 1 in the same rectangular co...

A: (a)We are given a function as

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: find the equation of a circle whose diameter has endpoints (-3,-3) and (-3,6)

A: We have been given endpoints of diameter of circle as (-3,-3) and (-3,6) and we need to find the equ...

Q: what are the steps to solve an equation of quadratic type:2X+9√X=5

A: Given,

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: List all values of x for which each rational expression is undefined.

A: Given information:The given function is as shown below:

Q: 0.08x+0.09(9,000-x)=750 how do you solve equation

A: To solve the equation, PEMDAS rule is used to simplify the equation and then the variable is isolate...

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

A: Obtain the value of x as follows.

Q: In Exercise 4, given each set of numbers, list the a) natural Numbers b) whole numbers c) integers d...

A: Given set of numbers are:Natural numbers:The numbers that are used for counting are called natural n...

Q: Condense the expression to the logarithm of a single quantity 1/2 [log 4 ( x +1) +2log 4 ( x −1)] +6...

A: Given,

Q: Find the midpoint M of the line segment joining the points A=(1,-2) B=(-7,-8)

A: The given points are…A=(1,-2 ) and B=(-7,-8)The formula to calculate mid-point is…

Q: Use the graph of y f(x) to graph the function g(x)=f(x)-2 Choose the correct graph of g below y fox)...

A: g(x)=f(x)-2 means the graph will move 2 units down.

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: For f(x) x-4 and g(x) 2x-5, find the following functions. a. (fo g)(x), b. (g o (x), c. (f o g)(2). ...

A: Refer to the question, for the provided functions f(x) = x-4 and g(x) = 2x2 -5, we have to find the ...

Q: The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be redu...

A: To calculate the amount of mass of after 6 half-lives if the initial amounts of radioactive isotopes...

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 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: 11. Simplify the following completely. Write your answer without using negative exponents. (Note: To...

A: Here, we use the above rules of exponents

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: List all values of x for which the rational expression is undefined 12/-3x

A: To calculate the all possible value of x for which the rational expression 12/(-3x) undefined. Now, ...

Q: Solve the system for x and y, expressing either value in terms of a, if necessary. Assume that a #0....

A: We are given system of equations

Q: how to solve x3+x=0

A: We are given an equation as

Q: The length of a brick path is 12 feet. (A) You want to add an equal, unknown length of stones at eac...

A: part(a)The length of a brick path is 12 feet.An unknown length is to be added at each end of given b...

Q: For following function, select (on the same set of coordinate axes) a graph for c = -3, 5, and 4. ...

A: The function is given by,

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: Given,

Q: (1/12x4+5/8x3+5/8x2+4)+(-7/12x4+3/8x2-4)=

A: Firstly, we remove the brackets and then we collect the like terms and solve as shown on board.

Q: 200 divided by 900 multiply by 100 written as a percentage without a fraction

A: Given statement:200 divided by 900 multiply by 100

Q: #6

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

Q: Find the horizontal asymptote, if any, of the graph of the rational function. 10x2 gx)= $2 5x+8 Sele...

A: This graph has horizontal asymptote because the degree of numerator and denominator are same.

Q: A and B are sets of real numbers defined as follows. 4 = {x | x > 3} Bx|x5 Write A n B and A UB usin...

A: Click to see the answer

Q: Find all rational zeros of the function f (x) = x ^3 −6x^ 2 +11x −6

A: The given polynomial function is

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: O LINEAR EQUATIONS AND INEQUALITIES Paul Solving a value mixture problem using a linear equation Esp...

A: Let x be a number of pounds of type A coffee.Here, total number of pounds is 155 and two types of co...

Q: 25+2=

A: First we calculate 2^5.2^5= 2x2x2x2x2=32

Q: Solve and graph the solution on a number line

A: To solve and graph the solution of the provided inequality 9+2y≤4y+5. No, first solve the inequality...

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: Two cyclists leave towns 144 km apart at the same time and travel toward each other. One cyclist tra...

A: Given that two cyclist 114 km apart travel each other at same time one cyclist travel 6 km/h faster...

Q: Write the equation in its equivalent logarithmic form. 5 125 What is the equivalent logarithmic form...

A: We have to use definition of logarithm.

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: The midpoint of PQ is M (4, -3). One endpoint is P Find the coordinates of the other endpoint, Q. (7...

A: The given system is,

Q: Solve the system. If there is no solution or if there are infinitely many solutions and the system's...

A: Click to see the answer

Q: #27 Bill drives 120 miles from his house in San Diego to Los Angels for a business meeting. Afterwar...

A: Let the average driving speed be x miles /hour , then we calculate the time taken in both the trips,...

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: 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: 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: 21) A camera production company's revenue is given by: R(x)-2x1 52x +750, where x is number of camer...

A: Find the number of cameras when the company produce to make $500.A camera production company’s reven...

Q: The worldwide sales in millions of hand-held PCs can be modeled by the function P(x) 1.85(x 1998) + ...

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