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Q: A ball is thrown in the air from the top of a building. Its height, in meters above ground, as a fun...

A: (a)We have to find the time taken by the ball to reach at maximum height.The height function of the ...

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: The number of bacteria in a certain population increases according to a continuous exponential growt...

A: To use the given data (exponential model) to determine the initial data

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: 7) In a triangle, the measure of the first angle is twice the measure of the second angle. The measu...

A: Click to see the answer

Q: Consider the following statement: Mary wants to (spend, at least spend, at most spend) 20 minutes a ...

A: In this question, we have statements which we have to write in expression form, the statement is:Mar...

Q: (X) 16 (D) 16 (E) 256 26. The sequence A is defined by A 100 terms in sequence A? A +2 for each inte...

A: Given, A_1=45 and An=A_(n-1)+2. Using n=2,3,4,.. in this expression we get: A_2=47,A_3=49,A_4=51,......

Q: 2x2=5x-1

A: The equation is given by,

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

A: Consider the given expression

Q: Hello, I am not confident in this Linear Algebra question: Suppose that a nonhomogeneous system wi...

A: The system is equivalent to Ax=b.We have 10 linear equations in 8 unknowns. So dimension of A= 10x8.

Q: O SYSTEMS OF LINEAR EQUATIONS Paul Solving a distance, rate, time problem using a system of linea......

A: Let speed of the boat is x and the speed of the current is y.

Q: Explain why it is important to understand the base for a number as well as the value.

A: In the standard numerical system, the base is the number which is used to represent the value of the...

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

A: The given function is,

Q: Step by step explanation how to solve this problem.

A: Click to see the answer

Q: How do you solve 1/2 +12/x2 > 5/x

A: The given inequality is,

Q: 6x-17 in the form quotient, plus remainder divided by divisor. Then use this form of the function's ...

A: First we do long division. Answer: g(x)=6+1/(x-3)

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: Use the graph of the rational function to complete the following statement As x4, f(x) -5 As x4, fx)...

A: x-> -4^- means slightly less than -4.

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.

Q: Determine the domain of the function f (x) = x − 2x + 8

A: The given function is f(x) =x–2x+8.

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: A particular fruit’s weights are normally distributed, with a mean of 598 grams and a standard devia...

A: Let us define X=Random variable of the fruit's weight with mean=598 grams, standard deviation= 6 gra...

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

A: Let the cost of advance ticket be $x.Let the cost of same day be $y.The combined cost of one advanc...

Q: Divide −4x2−2x+14 by 2x+3 Write your answer in the form: −4x2−2x+14=(2x+3)×q(x)+r(x) −4x...

A: Click to see the answer

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: -18 = -3/4 y solve for y

A: To calculate the value of y from the provided equation -18=(-3/4)y. Now, first resolve the fraction...

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: #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: 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: 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: 20 of 30 (4 complete) This Question: 1 pt Find the domain of the function. f(x)- 2-2x What is the do...

A: Consider the provided function:

Q: The hypotenuse of a right triangle is 5 ft long. The shorter leg is 1 ft shorter than the longer leg...

A: The length of the hypotenuse of right triangle is 5 ft.Let the length of longer side is x ft.Let the...

Q: Find all rational zeros of the function f (x) = 9x ^4 −9x ^3 −58x ^2 +4x +24

A: Consider the provided function.

Q: Use the leading coefficient test to determine the end behavior of the graph of the given polynomial ...

A: Given:The function is f(x) = 7x7 +2x6 + 8x4 + 8.

Q: The figure on the right shows the graphs of the cost and revenue functions for a company that manufa...

A: In order to break even we must have C(x)=R(x)

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: 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: Out of 230 racers who started the marathon, 212 completed the race, 14 gave up, and 4were disqualifi...

A: Given that, there were 230 racers started the marathon.So, 100% is 230.Here 14 gave up and 4 were di...

Q: What is the inverse equation for (x+2) over x? x+2 x

A: Given information:The given function is

Q: Suppose that receiving stations X, Y, and Z are located on a coordinate plane at the points (9,5), -...

A: Consider the receiving stations:

Q: Find an equation of the circle whose diameter has endpoints (-5, 6) and (3, 2). X

A: Click to see the answer

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: 18) Given the function: f(x) 2x-1 if 1<x<3 a) What is the domain of f(x)? b Evaluate f(0) and fl) c)...

A: The function is given by,

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: 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: 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: The graph of a function is given. Determine whether the function has an inverse function. Does the g...

A: This graph satisfies vertical line test.

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

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