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Q: Solve the inequality and graph the solution set on a real number line. Express the solution set in i...

A: First solve the given inequality as follows.

Q: (-1+i)-(-7+4i)-5

A: Simplify the expression (–1+i) – (–7+ 4i) – 5 as follows.(–1+ i) – (–7+ 4i) – 5 = –1+ i +7– 4 i – 5 ...

Q: 51) Barney's money earned $204 in interest after 1 year. He invested some of his money in an account...

A: Let P be the principal amount.Here, the simple interest is $204 for one year.

Q: solve the system x-y+z=-1 x+y-2z=7 -2x+4y+2z=-4 x= y= z=

A: To solve the systemx-y+z=-1x+y-2z=7-2x-+4y+2z=-4The system of equations are,

Q: Simplify the difference quotients f(x+h) - f(x)/h and f(x)-f(a)/(x-a) for the following function by ...

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

A: The given polynomial function is

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: |4 - 8(3 - 12)| - |5 - 11| = im having trouble figuring out how to do this problem, should i start w...

A: Yes, the given problem can be start with parenthesis.

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

A: We have to find f(-2) f(-2)=-8

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: 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: Determine whether the function has an inverse function. If it does, find the inverse function. f(x)...

A: The function is given by,

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: Simplify (-2y^4)^2(-2x^3y^2z)^3

A: To simplify (-2y^4)^2(-2x^3y^2z)^3.

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: Write an equation (slope-intercept form) of the line L satisfying the given conditions: 1.) L passes...

A: 1)The slope of line ax+by=c is -a/b, using this we can calculate the slope of given line m1 which is...

Q: Write the quotient in standard form: f (x) = 5+i / 5−i

A: we are given a complex value as

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: Suppose that you earned a bachelor’s degree and now you’re teaching high school. The school district...

A: To calculate (a) The amount which is saved at the end of 5 years. (b) The amount of interest. If the...

Q: Find f(g(x)) and g(f(x)) and determine whether the pair of functions f and g are inverses of each ot...

A: Consider f(g(x)) and plugging the values:

Q: Let g (x) = 12− x 2 , then answer the following questions: (a) Identify the parent function:f (x) = ...

A: We are given a function as

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: 121=(4q+5)2

A: To calculate the value of q from the provided equation which is mentioned below,

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

A: To calculate the number defective bulbs in the batch of 3000 light bulbs. A sample contains 125 ligh...

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: 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: If a given line has a negative slope, then what is the sign of the slope of the line that is perpend...

A: Given information:The line has a negative slope.

Q: At the movie theatre, child admission is $5.70 and adult admission is $9.70 . On Wednesday, four tim...

A: Let x be the number of adult tickets and y be the number of child tickets be sold.

Q: #34

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

Q: 2A-A=2

A: The given linear equation in A is 2A-A=2.

Q: Determine whether the following equation is true or false. If the statement is false, make the neces...

A: Given statement is,

Q: Hello, looking for the easiest steps to solve 2 and 3 step multiplication questions. For example 275...

A: To multiply a three-digit number with a two-digit number follow the given steps.The numbers to be mu...

Q: Solve for x. 32x-10 -81 The solution set is Enter your answer in the answer box e Quizzes & Tests In...

A: Given that

Q: The graph of a quadratic function is given. Match the equation with its graph. fx)-(X + 4)2-1 ) (X-4...

A: (a)We can find vertex of first function

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: Find the coordinates of the vertex of the quadratic functions beneath: y=3x2 y=3x2-2 y=-x2+3

A: (a)We can compare with quadratic equations and find a , b and c

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: 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: Given the following function (a) find the vertex (b) determine whether there is a maximum or a minim...

A: Since we are entitled to answer up to 3 sub-parts, we’ll answer the first 3 as you have not mentione...

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: 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: Let g (x) = 12− x 2 , then answer the following questions: Identify the parent function:f (x) = Desc...

A: The parent function can be identified by removing the constants and coefficients from the given func...

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: Give the domain and range of the quadratic function whose graph is described. The vertex is (-1,-5) ...

A: Given information:The vertex is (-1,-5) and the parabola opens up.

Q: Find all real zeros of the function f (x) = 4x^3 −3x −1

A: Consider the provided function:

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: A Web music store offers two versions of a popular song. The size of the standard version is 2.4 meg...

A: Given:The size of the standard version is 2.4 megabytes (MB). The size of the high-quality version i...

Q: 5+2x-x-4+8x

A: To simplify the provided algebraic expression which is provided as 5+2x-x-4+8x. Now, first group the...

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.