Find all functions f : Q to Q satisfying (i) f(1) = 1 and (ii) f(x+y) = f(x) + f(y) for all x,y \in Q where Q is a rational.

Q: Determine the values of a for which the following system of linear equations has no solutions, a…

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Q: How much should you invest now at 5 1/4% simple annual interest in order to earn $100 interest in 9…

A: Topic- Simple interest NOTE:AS per bartleby guidelines, we supposed to answer only first question,…

Q: that corresponds to your answer. oblem: There are 12 officials in a meeting. If everyone at e…

A: Topic = Algebra

Q: x-7-4-2. The equation has: O A. Exactly one solution. O B. Exactly two distinct solutions. O C. No…

A: We have to solve the given equation.

Q: store owner has a total value of 56 bills in 20 dollars and 50 dollar denominations in his safety…

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Q: 1. What is the vertical line test used for? Select the right choice: Testing graphs for end behavior…

A: Since you have posted multiple questions i can do first three question as per our company…

Q: Find the domain of the function. (Enter your answer using interval notation.) g(x) = square root of…

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Q: The tens digit of a certain two-digit number exceed the units digit by 4. The sum  of the digits…

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Q: [:]- Z Solve the equation +S +t 4x + 3y9z = 17.

A: We need to solve the equation.

Q: Use transformations of f(x) = x² to graph the following function. g(x) = - 4(x-3)² +2 Select all the…

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Q: Use the parent function f(x) = |a| to match the description of the transformed graph to the related…

A: see below the graph and answers

Q: Use the graph to determine the following. a. the function's domain b. the function's range c. the…

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Q: A babysitter has four lollipops of different colors. In how many ways can she give one lollipop to…

A: I am attaching image so that you understand each and every step.

Q: Express the function graphed on the axes below as a piecewise function. 10

A: The given graph is:

Q: 1x³ + 2x² +15x+15 3 4 x² +6x² +9

A: The solution is

Q: A=W(1 + rt)

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Q: Determine whether the given is a rational function, rational equation, rational inequality OR none…

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Q: Factor completely: y³ + 3y² - 10y - 24

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Q: ← Simplify the following expression. All variables are nonzero. 8x8 6x ICE 8x8 6x (Simplify your…

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Q: Let s be a person's annual salary (in thousands of dollars) after she has worked for t years at a…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: An equation that defines y as a function of x is given. a. Solve for y in terms of x and replace y…

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Q: (330) 6 Find the value(s) of h for which the set h is linearly dependent.

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Q: In each case, find n: (a) nCn-2= 10, (b) nC1s = nC11, (c) nP4 = 30 nCs.

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Q: 3. For each of the following, determine the LCD, rewrite each rational expression as an equivalent…

A: (a) 8p+p

Q: X+3y=8 X-3y= -16 (X,Y) = ( )

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Q: Sarah and Kayla both solved the problem below. Who solved it correctly? Identify the mistake for the…

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Q: For items 1-2. Suppose that Zab borrowed ₱50,000 from a cooperative on January 8, 2020 and paid the…

A: Given that Zab borrowed the sum 50,000.The interest rate is 1.5%. Time is from January 8, 2020 to…

Q: Solve the system [x₁ X2 X3 II JL +8 +t 4x1 -x1 3x1 2x1 -5x2 +3x3 +2x4 = +2 +2x3 +2x4 = -4x2 +53 +4x4…

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Q: Let g(x) = -x² + 4x + 1. Find and simplify g G 2

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Q: 75² +3 (286+99)-4-3

A: The given expression is 752+3(286÷99)-4.3 We have to find the value of the expression.

Q: Given the following matrix A, find an invertible matrix U so that A is equal to UR, when R is the…

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Q: As part of a drug trial, a survey was done to gather information about the participants' experiences…

A: Let A be set of people had dizziness Let B be set of people had anxiety Let C be set of people had…

Q: Find a 2x2 matrix A‡±1₂ satisfying A²=1, 2 2

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Q: Justify your response. Let x = cost of 1 raft, y = cost of 1 chlorine filter, and z = cost of 1…

A: Given, x-cost of Raft y-cost of Chlorine Filter z-Large lounge chairs

Q: Solve the following differential equations, say what type of equation it is: Separable, homogeneous,…

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Q: A number has two digits whose sum is 10. The difference between the original number and the number…

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Q: The population of Integraton (in millions) at time t (in years) is P(t) = 1.7e0.071, where t = 0 is…

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Q: Simplify the following expression. 2a² b6 3

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Q: Find the transpose of the matrix. 84 -4 0 -7 7 4 8 0-4 7 -7 4 0 7 -4 -7 8 8 -4 -7 [849] 0 7 -7 7 H…

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Q: Find the product of the sum and difference of two terms. (7x²+2)(7x²-2) (7x² + 2)(7x² − 2) =…

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Q: Evaluate the function f(r)=\sqrt(r+3-9) at the given values of the independent variable and…

A: Given fr=r+3-9

Q: ocedure produces a number that is three times ginal number. ocedure: Pick a number. Multiply the…

A: Topic:- algebra

Q: Use the given feasible region determined by the constraint inequalities to find the maximum and…

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Q: Find the basis of the subspace of R4 that consists of all vectors perpendicular to both:

A: We want to find the basis of the subspace of R4 that consists of all vectors perpendicular to both

Q: Alo and Katie have a new grandson. How much money should they invest now so that he will have…

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Q: 7. According to a certain central bank from 2000 to 2016 the average price of a new home in a…

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Q: Perform the matrix operation. 04 -16 Let A = 12 28 4 40 12 16 [126] 10 12 7 [1210] 7 10 and B = 12…

A: To find matrix 4A+B

Q: A AY 43 X X B H +X - x AT x In my equation, a>0. I have no zeros. My range is y ≤0. My zeros are at…

A: Note: According to our expert guidelines only first three subparts are to be answered kindly repost…

Q: A weighted spring is bouncing up and down such that the weight's distance, d, in feet above the…

A: The modulus function is defined as  |f(x)|≤a is same as -a≤f(x)≤a.

Q: How did you get 10x+y and 10y+x? Thank you!

A: Let's solve.