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3 years ago

Whats an example of a linear relationship?

Mathematics

2 answers:

Luda [366]3 years ago

6 0

Answer:

For example a common equation, y=mx+b y = m x + b,is a linear function because it meets both criteria with x and y as variables and m and b as constants.

Step-by-step explanation:

kramer3 years ago

5 0

It is a straight line in a graphical format.

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For each x and n, find the multiplicative inverse mod n of x. Your answer should be an integer s in the range 0 through n - 1. C

krok68 [10]

Use the Euclidean algorithm to express 1 as a linear combination of $x$ and $n$ .

a. $52^{-1}\equiv40\pmod{77}$ 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

$1\equiv52\cdot52-12\cdot52\equiv40\cdot52\pmod{77}\implies52^{-1}\equiv40\pmod{77}$

b. First, $77\equiv25\pmod{52}$ , 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

$1\equiv25\cdot25\pmod{52}\implies25^{-1}\equiv25\pmod{52}$

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

$1\equiv(-4)\cdot53\pmod{71}\implies53^{-1}\equiv-4\equiv67\pmod{71}$

d. Same process as with (b). First we have $71\equiv18\pmod{53}$ , and we've already shown that

1 = 3*18 - 53

which means, taken modulo 53, that

$1\equiv3\cdot18\pmod{53}\implies71^{-1}\equiv18^{-1}\equiv3\pmod{53}$

6 0

3 years ago

Which expression is equivalent to

cestrela7 [59]

Answer:

Step-by-step explanation:

When 3 is squared, it becomes 9. That means that both A and B are incorrect.

The powers on u and v are doubled not added to become u^6 and v^8 so that makes C the only possible answer.

4 0

3 years ago

Stacy exercises 3 days each week by walking around the soccer field near her home the field is 80 yards wide and 115 yards long

zhenek [66]

a: draw a rectangle an label one side 80 and the other 115

b: 1560 Yards

6 0

3 years ago

*Click the photo*

Charra [1.4K]

Answer:

137.5 Miles

Step-by-step explanation:

2 = 50 Right? So if you were to divide 50 by 2, you would get 1 = 25. All you would have to do from there would be to multiply 25 times 5.5 to get 137.5.

8 0

4 years ago

Read 2 more answers

The population of a town is increasing by 300 inhabitants each year. If its population at the beginning of 1990 was 21,152, what

babunello [35]

Answer:

Step-by-step explanation:

You take the starting year of 1990 and subtract it from 1999 to get the year span of 9,

You then take the amount per year the population goes up by which is 300, so 300 multiplied by 9 is 2,700

You add 2,700 to 21,152 to get B-23,852

8 0

4 years ago