Let P(n) represent the statement:
-1 + 5 + 11 + ... + ( 6n - 7 ) = 3n^2 - 4n
In the proof that P(n) is true for all integers n, n ≥ 1, what term must be added to both sides of P(k) to show P( k + 1 ) follows from P( k )?
A. P(k+1)
B. 6k+5
C. 6k-1
D. 6k-7

answer: answer

step-by-step explanation:

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!

10.416 m/s

step-by-step explantion:

distance=100m

time= 9.6s

average speed=100/9.6

=10.416 m/s