Mathematics, 20.11.2019 17:31 jazzy4713
Let p (n) be the statement that 13 + 23 + · · · + n3 = (n(n + 1)/2)2 for the positive integer n. a) what is the statement p (1)? b) show that p (1) is true, completing the basis step of the proof. c) what is the inductive hypothesis? d) what do you need to prove in the inductive step? e) complete the inductive step, identifying where you use the inductive hypothesis. f ) explain why these steps show that this formula is true whenever n is a positive integer.
Answers: 2
Mathematics, 21.06.2019 14:00
Find the average rate of change for f(x) = x2 − 3x − 10 from x = −5 to x = 10.
Answers: 1
Mathematics, 21.06.2019 20:30
Barbara has a good credit history and is able to purchase a car with a low-interest car loan. she co-signs a car loan for her friend jen, who has poor credit history. then, jen defaults on the loan. who will be held legally responsible by the finance company and why? select the best answer from the choices provided. a. barbara will be held legally responsible because she has a good credit history. b. jen will be held legally responsible because she drives the car. c. barbara will be held legally responsible because she is the co-signer. d. jen will be held legally responsible because she has a poor credit history. the answer is a
Answers: 3
Mathematics, 21.06.2019 20:30
Daryl factors the polynomial p(x)=x3+x2−26x+24 to rewrite it as p(x)=(x+6)(x−4)(x−1). which equations must be true? there may be more than one correct answer. select all correct answers. p(1)=0 p(−4)=0 p(−1)=0 p(6)=0 p(4)=0 p(−6)=0
Answers: 1
Mathematics, 21.06.2019 21:00
Ariana starts with 100 milligrams of a radioactive substance. the amount of the substance decreases by 20% each week for a number of weeks, w. the expression 100(1−0.2)w finds the amount of radioactive substance remaining after w weeks. which statement about this expression is true? a) it is the difference between the initial amount and the percent decrease. b) it is the difference between the initial amount and the decay factor after w weeks. c) it is the initial amount raised to the decay factor after w weeks. d) it is the product of the initial amount and the decay factor after w weeks.
Answers: 1
Let p (n) be the statement that 13 + 23 + · · · + n3 = (n(n + 1)/2)2 for the positive integer n. a)...
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