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AlgebraQ&A LibraryLetA = {xla E Z, and-2 < x ?), and B = {z|& E N, 4 St < 12, and x is odd) Find the following. If your answer is another set, then give the answer in tabular form. (2) An B (3) AB = (4) B14 Some survey shows that there are 35 students taking some Biology course, and 48 t some Math course, and 23 taking both Biology and Math. (1) How many students are taking Biology, but not Math? (2) How many students are taking Biology or Math?Start your trial now! First week only $4.99!*arrow_forward*

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Q: Graph the solution to the following system of inequalities. <+4x3y−12 ≥+−5x3y−9 Then give the coo...

A: To solve the given system of inequalities graphically

Q: Solve the following equation for B u=8B B ? X

A: Given information:The given expression is

Q: On a reality television show, an officer traveling in a police cruiser at mph pursues Jennifer who h...

A: Hello there! You seem to have uploaded an incomplete question. In order to solve this question, we n...

Q: 2x+7 The function x-9 X#9, is one-to-one. Find an equation for f (x), the inverse function. 0)x2 (Si...

A: Consider the given one-to-one function:

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: 8) Use f(x) x-4x +2 and g(x) 5x-4 for the following a) Find S-g b) Find (flg)(x)and give the domain ...

A: Click to see the answer

Q: Let x represent one number and let y represent the other number. The sum of two numbers is 9. If one...

A: Given x and y are two numbers.Sum of x and y= x+y. So, x+y=9

Q: #19

A: 19. The given equation is

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: 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: Jane, Kareem, and Ahmad served a total of 91orders Monday at the school cafeteria. Ahmad served 5 mo...

A: Let x, y and z be the orders serve by Jane, Kareem and Ahmad respectively.Rewrite the sentence as an...

Q: Find the quadratic function y=ax+bx+ c whose graph passes through the given points (3,29), (2,-26), ...

A: We have been given three ordered points and we need to find a quadratic function passing through tho...

Q: Given the function f(x) vx-7, (a) Find f (b) Graph f andf in the same rectangular coordinate system....

A: (a)It is given that the function f(x) = √(x – 7).Obtain the inverse of the function as follows.Subst...

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

A: Given,

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: How many quarts of pure antifreeze must be added to 3 quarts of a 10% antifreeze solution to obtain ...

A: Calculation:let x be the required amount of pure antifreeze solution.Write a decimal equivalent m...

Q: 72 voters are asked to rank four brands of soup: A, B, C, and D. The votes are summarized in the fol...

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

Q: # 13 and # 14

A: (13)Let Felix invests $ x amount at 7% annual interest and then according to question, the amount th...

Q: 3 Express the given function h as a composition of two functions f and g so that h(x) =(fo g)(x), wh...

A: Given that h as a composition of two functions f and g.

Q: 22828 8 What do you observe? 82843 A decimal approximation for 8 is 2.8284271. Use a calculator to f...

A: We are given

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: 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: Last year, Isabel had $20,000 to invest. She invested some of it in an account that paid 7% simple i...

A: Given:Isabel had a total amount of $20,000 to invest.One of her invesetment gave her a 7% interest a...

Q: #1

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

Q: 125=(5u+8)2

A: Consider the given equation

Q: ( The length of a rectangular garden is two feet longer than its width) (A) Label each edge o...

A: part(a)The length of a rectangular garden is two feet longer than its width.Let the width of the rec...

Q: Solve for x: 3x+1 = 27

A: The equation is given by,

Q: One number is seven less than four times another number. If their sum is 103. Find both numbers.

A: The given statement is

Q: Stan paid $580.50 after taxes for a new television. If the sales tax rate is 7.5%, what was the cost...

A: Given, total cost = $580.50 and sales tax rate = 7.5%

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: A pet store offered a baby monkey for sale at $1.25. The monkey grew, and the next week it was offer...

A: The amount of baby monkey is $1.25; the next week it is offered at $1.89.Then, raised to $5.13, then...

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: 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: Condense the expression to the logarithm of a single quantity (a) ln2+ln x

A: The given expression is,

Q: Add (0.04x5-0.4x2+x+0.07)+ (-0.03x5+x3-0.8x-005)

A: Firstly, we remove the brackets , and then we collect the like terms and solve.

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

A: Given,

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: #23

A: Given: The point that the line passes through is (−2,3).The equation of the line which is perpendicu...

Q: Find the difference quotient and simplify your answer. f(x) = 5x – x2, f(6 + h)-f(6)/h , h ≠ 0 ...

A: To find the difference quotient.The given function is f(x) = 5x – x2.Find f(6+h) and f(6) .

Q: In the equation D equals 3.25 G, which takes input values of gallons (G) for fuel and gives output v...

A: We have given the equation D=3.25 G, where D represents the cost in dollars and G is the value of ga...

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

A: Consider the provided function.

Q: How would you factor x2(2x+3)5(x-4)2 to find the zeros and multiplicity?

A: The given expression is,

Q: When solving systems of we have at least two unknowns. A common example of a system of equations is ...

A: The unknowns in the given system are the quantities of water and cleaner.

Q: Mary wants to spend at least 20 minutes a day exercising. Write as an equation.

A: Given:Mary wants to spend at least 20 minutes a day exercising.

Q: Solve by the method of your choice. 7x-2y 6 4x+y 12 Select the correct choice below and, if necessar...

A: We multiply the second equation by 2 and add to the first equation. So, x=2

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: Consider the function f(x)-9x-9x Determine, without graphing, whether the function has a minimum val...

A: We are given a function as

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.

Q: 8*2(2+2)

A: To simplify the expression, the PEMDAS rule is used.PEMDAS stands for Parenthesis, Exponents, Multip...

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.