Explain why the following statement must be True, or provide a counterexample to show that it can be False. If f and g are one-to-one functions defined on all of R, then the function h(x) = f(x) + g(x) is also one-to-one.

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A: If a and b are two roots of a quadratic equation of variable x then, x²-(a+b)x+ab=0

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A: The give logic statement ~p∧q∨~r we have to make a truth table for ~p∧q∨~r

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Q: D. Write a quadratic equation given the sum and product of its roots. / 29. r₁ +r₂ = 0 1 30. r₁ +r₂…

A: Given that , 29) r1 + r2 = 0 and r1 r2 = -7/15. 30) r1 + r2 = 25 and r1 r2 = 24. 31) r1 + r2 = -15/2…

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A: Given data:- The given equation, -14(5a-8)

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A: Given, w=-25-1, v1=-11-1, v2=1-21, v3=02-1

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A: See this solution in below.

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A: We will find the required.

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A: On three examinations, a student received scores of 77,85 and 75. We have to find the score will the…

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A: Given:24×2-2 = 22

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A: We have to find  -55-40k-520-2020-1.

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Q: Denver to... Cheyenne Albuquerque Las Vegas Round Trip Distance (miles) 202 890 1,498 13. Write an…

A: Given:  Denver to... Round Trip Distance (miles) Cheyenne 202 Albuquerque 890 Las Vegas…

Q: 9) Simplify the following to an expression with positive exponents only. 3 x-³ (y² z-¹) ³…

A: As per request we solve question 9

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A: We can find the domain and Range of the function.

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A: We have to explain of the given expression according to the given information

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A: Volume of cube = (side)3 So volume = x33  Explanation is given below....

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A: Given: The cost of each tomatoes given is $1.70 The cost of black bean is $1.60 The cost of…

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A: We can show that the point is a solution of the system of equation in the below steps.

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Q: Use the Quotient Rule to simplify. All variables are nonzero. 8z9x7 - 2z5x²

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Q: Let p = Cats are reptiles and q = Snakes are reptiles. Decide which compound statements below are…

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Q: 1 Graph y = -x + 6.

A: y=-14x+6when x=0, y=6, so 0, 6when y=0, x=24, so (24, 0)when x=4, y=5, so 4, 5when x=-4, y=7, so -4,…

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A: We have to solve the given system of linear equations by graphing.

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A: We can find the required expression in the below steps.

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A: Given Expression:- -2dc2-5

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Q: O = {1}, L = {2, 3, 5, 7}, F = {2, 4, 6, 8} U = {1, 2, 3, 4, 5, 6, 7, 8, 9) What is FOL?

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Q: 1-7. Convert the following numbers to decimal. (a) (1001001.011)2 (b) (12121)3 (c) (1032.2)4 (d)…

A: As per the guidelines I am supposed to do the first question among multiple questions. To get the…

Q: 3 use the Rational Zeros Theoren to find all potential 2 eros of ~ The Poly no mial function. 602 89…

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