A survey asked buyers whether color, size, or brand influenced their choice of cellphone. The results are below. How many people were influenced by brand?5 only said color 8 only said size16 only said brand 20 said only color and size42 said only color and brand 53 said only size and brand102 said all three 20 said none of these

Q: A boat's crew rowed 72 kilometers downstream, with the current, in 4 hours. The return trip upstream...

A: Let's assume x is average rowing velocity of the crew  in still watery is average velocity of the cu...

Q: Solve Inequality |7x+3| > 15. What are the steps to putting my answer(s) in interval form?

A: From |7x+3|>15 we get two inequalities. 7x+3>15 and 7x+3<-15. We will solve for x from thos...

Q: 50) Use the graph of f(x) shown for the following: a) Identify x values where: f(xs undefined f(x)=0...

A: a) It is clear from graph, if x approaches 1 from left , f(x) approaches -infinity and if x approach...

Q: Solve and graph the solution on a number line

A: We are given an inequality as 

Q: Consider the arithmetic sequence with the first term ai = 300 and common difference d=-90. What are ...

A: In an arithmetic sequence the terms can be obtained by adding the common difference to the previous ...

Q: Find an equation of the parabola with vertex , −1−2 and focus , −5−2 .

A: Given information:The vertex of parabola is (1,2).The focus of parabola is (5,2)

Q: Use the given function to complete parts (a) through (e) below. fox)-x-9x FX a) Use the Leading Coef...

A: Since the option B’s choices are not visible, I have found only the x-intercepts.

Q: g(x) f(x) 1 The functions f and g are defined by the following tables. Use the tables to evaluate th...

A: We need to find the value of [f inverse g (10)].

Q: Find the domain of the function. 15 -ズー12 What is the domain of f? O A. (-000)U(0,c0) O B. (-cqo0) O...

A: Given,

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: 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: Find an equation of the parabola with vertex , 1−4 and focus , 7−4 .

A:

Q: A car is purchased for $31,000 . Each year it loses 30% of its value. After how many years will the ...

A: Let the depreciated amount be represented by D(t). then according to the given condition.

Q: Evaluate:

A: The logarithmic expression is,

Q: Let A = [1 -1 -1              -1   1 -1              -1  -1  1]. Find a diagonalization if possible.

A: We first find the eigenvalues and eigenvectors of A.Start from forming a new matrix by subtracting λ...

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: 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: Write the equation of the line that has slope m = − 1 and passes through the point (0, 2) . Explain ...

A: Refer to the question the line has slope m = -1 and it passes through the point (0, 2).Then consider...

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

A: Consider the given system of equations:

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

A:

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

A: Adding second and third equation

Q: Slope -2 through (-3, 1)

A: Point‑Slope equation:

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: Given the graph what are the intervals on which f is one-to-one (Simplify your answer).

A: We have a graph of the function and write the interval where given function 'f' is one-to-one.

Q: #14

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

Q: Solve by completing this square m2+3m-40=0

A: We first add 40 to both sides.

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: Solve the inequality (x-3)(x-5)^2<0 Select all the intervals below that are included in the solut...

A: The given inequality is (x-3)(x-5)^2<0

Q: #34

A: (33)Consider the given equation: Ax+By=CTo solve for y, follow the steps:Step 1: subtract Ax from ea...

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

A: The given function is,

Q: Solve each system by elimination #6

A: The system of equations is given as

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: 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: 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: The graph of a quadratic function is given. Write the function's equation, selecting from the follow...

A: The given quadratic equations are as follows.j(x)=-x²–49, f(x)=x²+14x+49, h(x)=x²–49, g(x)=x²–14x+49...

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: 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 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: O RATIONAL EXPRESSIONS Paul Interpreting direct variation from a graph Español Latoya is riding her ...

A: Latoya is riding her bike. The number of revolutions (turns) her wheels make varies directly with th...

Q: Solve and graph the solution on a number line

A: Given infromation:The given inequality is x-3>1Calculation:x-3>1x>1+3x>4Graph: 

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: A motorboat travels 216km in 4 hours going upstream and 520km in 5 hours going downstream. What is t...

A: let the speed of a boat in still water is u km/hr and the speed of the stream is v km/hr, then:Speed...

Q: Find all the zeros of the polynomial function. Use the Rational Zero Theorem, Descartes's Rule of Si...

A: Given information:The given polynomial function is  

Q: The profit of a company in dollars, is the difference between the company's revenue and cost.  The c...

A: From the given information, it is observed that the revenue is R(x) = 810x – x^2 and the cost is C(x...

Q: Use the graph to determine (a) open intervals on which the function is increasing, if any. (b) open ...

A: Given graph is,

Q: Solve the given system of equations. 5x+2y-5z 7 3x-4y+3z -31 6x-5y+ 6z - 59 Select the correct choic...

A: Method of Substitution:

Q: a. Rewrite the equation 5x + y +4 0 in slope-intercept form. b. Give the slope and y-intercept. c. U...

A: a. The given equation is 5x + y + 4 = 0. The slope intercept form of the linear equation is y = mx +...

Q: Evaluate. (8^2-2^5)/(24/6)+3^2

A: To calculate the value of the provided expression (8^2-2^5)/ (24/6) +3^2. First simplify the bracket...

Q: Find an equation of the circle whose diameter has endpoints , 46 and , 4−4 .

A: To write down the equation of satisfied by all the points on the given locus

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.