All categories

3 years ago

Any number is divisible by 2 is also divisible by 6 find a counter example to show that conjecture is false

Mathematics

1 answer:

likoan [24]3 years ago

5 0

Answer:

Step-by-step explanation:

To be divisible by 6, an even number must also be divisible by 3. Two of every three even numbers are <em>not</em> divisible by 3, so are not divisible by 6.

You might be interested in

What is the 7th term of the geometric sequence where a1 = -5 and a5 = -1,280?

8_murik_8 [283]

Any geometric sequence can be expressed as:

a(n)=ar^(n-1), a=initial term, r=common ratio, n=term number.

Here we are give the initial term so we have to solve to solve for the common ratio...

a(5)=-1280 and a(1)=-5 so

-1280=-5r^(5-1)

-1280=-5r^4

256=r^4

256^(1/4)=r

4=r, so our sequence is:

a(n)=-5(4^(n-1)), so the 7th term is:

a(7)=-5(4^6)

a(7)= -20480

3 0

3 years ago

Determine whether each table represents a linear quadratic or exponential function

Kryger [21]

Answer:

Table A: exponencial function

Table B: quadratic function

Table C: linear function

Step-by-step explanation:

Table A:

for x from 1 to 2, Y increased by 6

for x from 2 to 3, Y increased by 18

for x from 3 to 4, Y increased by 54

So we can see that the values of Y are being multiplied by 3 for each increment of x, so this table represents an exponencial function.

Table B:

for x from 1 to 2, Y increased by 6

for x from 2 to 3, Y increased by 10

for x from 3 to 4, Y increased by 14

The increment of Y is higher than a linear increment and smaller than an exponencial increment, so this is the quadratic function.

Table C:

for x from 3 to 6, Y increased by -2

for x from 6 to 9, Y increased by -2

for x from 9 to 12, Y increased by -2

The increment of Y is constant for the same increment of X, so this is a linear function.

7 0

3 years ago

a fruit basket contains 12 red apples 6 green apples pineapple and oranges .in simplest form write the ratio of green apples to

Doss [256]

1:1 bc there is 6 green apple and 6 pineapples

7 0

3 years ago

Read 2 more answers

A system of equations is shown below: x + y = 3 2x − y = 6 the x-coordinate of the solution to this system of equations is _____

Norma-Jean [14]

Answer:

The x-coordinate of the solution to this system of equations is 3

Step-by-step explanation:

Given the system of equations:

$x+y = 3$ ....[1]

$2x-y = 6$ ....[2]

Add equation [1] and [2] we have;

$x+y+2x-y = 9$

Simplify:

$3x = 9$

Divide both sides by 3 we have;

x = 3

Substitute in [1] we have;

3+y = 3

⇒y = 0

Solution for the given system of equation is= (3, 0)

Therefore, the x-coordinate of the solution to this system of equations is 3

5 0

3 years ago

2x - (3x + 6) Please help me with this equation guys!!!

katen-ka-za [31]

1. 2x - (3x + 6).....negative before parentheses makes everything inside parentheses opposite
2. 2x - 3x - 6....2x - 3x = -1x
3. -1x - 6

Answer:
-1x - 6

4 0

3 years ago