Provide an appropriate response.What is the second step in a proof by mathematical induction?
A. Show that the statement is true for n = k.
B. Show that the statement is true for n = k + 1.
C. Show that, for any positive integer k, k ? n, if the statement is true for n = k, then it is true for n = k + 1.
D. Show that the statement is true for n = 1.
Answer: C
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Write decimal notation.
A. 97.0045 B. 97.045 C. 97.45 D. 101.5
Select a variable to represent one quantity and state what that variable represents. Express the second quantity in terms of the variable selected.Last year, Rebecca received a grant of g dollars for school. This year she received $9000 plus seven-eighths of last year's amount.
A. let 
9000 + g = old grant amount, then g = new grant amount
B. let 
+ 9000g = old grant amount, then g = new grant amount
C. let g = old grant amount, then 
g + 9000 = new grant amount
D. let g = old grant amount, then 
9000 + 9000g = new grant amount
Solve the system of equations. 2x2 + y2 = 173x2 - 2y2 = -6
A. (1, 3), (-1, -3) B. (2, 3), (2, -3), (-2, 3), (-2, -3) C. (1, 3), (1, -3), (-1, 3), (-1, -3) D. (2, -3), (-2, 3)
Find the amount or rate of discount and the sale price after the discount. Round money answers to the nearest cent if necessary.Original price: $116 Amount of discount: $17.40
A. 1.5%, $98.60 B. 16%, $98.60 C. 15%, $98.60 D. 17%, $98.60