the answer is ten thousand
Use the Euclidean algorithm to express 1 as a linear combination of
and
.
a.
because
77 = 1*52 + 25
52 = 2*25 + 2
25 = 12*2 + 1
so we can write
1 = 25 - 12*2 = 25*25 - 12*52 = (77 - 52)(77 - 52) - 12*52 = 77^2 - 2*52*77 + 52^2 - 12*52
Taken modulo 77 leaves us with

b. First,
, so really we're looking for the inverse of 25 mod 52. We've basically done the work in part (a) already:
1 = 25*25 - 12*52
Taken modulo 52, we're left with

c. The EA gives
71 = 1*53 + 18
53 = 2*18 + 17
18 = 1*17 + 1
so we get
1 = 18 - 17 = 3*18 - 53 = 3*71 - 4*53
so that taken module 71, we find

d. Same process as with (b). First we have
, and we've already shown that
1 = 3*18 - 53
which means, taken modulo 53, that

4x2 - 7x = 3x + 24
First we rewrite the quadratic equation:
4x2 - 7x - 3x - 24 = 0
4x2 - 10x - 24 = 0
The solutions to the quadratic equation in this case are:
x1 = 4
x2 = -1.5
Answer:
x = -3/2
x = 4
Answer:
Function 2 shows a greater rate of change, because Edwin spends $9 each month and Adam spends $7 each month.
I found this out because for Adam, you simply subtract the y-coordinates from each other and get 7 each time. Edwin clearly shows that he Spends $9 each month with the negative sign.
Step-by-step explanation:
Answer:
b. 225 joules
Step-by-step explanation:
plug in 5 m/s and 12.5 m/s in to v and h.