What is the constant of proportionality for y=4x

Can someone give me the answers and step by step instructions please??

professor190 [17]

Answer:

$-1,4,-7,10,...$ neither

$192,24,3,\frac{3}{8},...$ geometric progression

$-25,-18,-11,-4,...$ arithmetic progression

Step-by-step explanation:

Given:

sequences: $-1,4,-7,10,...$

$192,24,3,\frac{3}{8},...$

$-25,-18,-11,-4,...$

To find: which of the given sequence forms arithmetic progression, geometric progression or neither of them

Solution:

A sequence forms an arithmetic progression if difference between terms remain same.

A sequence forms a geometric progression if ratio of the consecutive terms is same.

For $-1,4,-7,10,...$ :

$4-(-1)=5\\-7-4=-11\\10-(-7)=17\\So,\,\,4-(-1)\neq -7-4\neq 10-(-7)$

Hence,the given sequence does not form an arithmetic progression.

$\frac{4}{-1}=-4\\\frac{-7}{4}=\frac{-7}{4}\\\frac{10}{-7}=\frac{-10}{7}\\So,\,\,\frac{4}{-1}\neq \frac{-7}{4}\neq \frac{10}{-7}$

Hence,the given sequence does not form a geometric progression.

So, $-1,4,-7,10,...$ is neither an arithmetic progression nor a geometric progression.

For $192,24,3,\frac{3}{8},...$ :

$\frac{24}{192}=\frac{1}{8}\\\frac{3}{24}=\frac{1}{8}\\\frac{\frac{3}{8}}{3}=\frac{1}{8}\\So,\,\,\frac{24}{192}=\frac{3}{24}=\frac{\frac{3}{8}}{3}$

As ratio of the consecutive terms is same, the sequence forms a geometric progression.

For $-25,-18,-11,-4,...$ :

$-18-(-25)=-18+25=7\\-11-(-18)=-11+18=7\\-4-(-11)=-4+11=7\\So,\,\,-18-(-25)=-11-(-18)=-4-(-11)$

As the difference between the consecutive terms is the same, the sequence forms an arithmetic progression.

3 0

3 years ago

I need help on this please. Don't answer if you don't know, Thanks

lyudmila [28]

Answer:

I think you can find these answers online...

A good website that I used to use for books like these was www.slader.com, but it might not have everything.

Step-by-step explanation:

4 0

3 years ago

How old am i if 200 reduced by 2 times my age equals 16?

Anna [14]

Ok, so since it doesn't give a value for "my age", we'll call it x. So the sentence translates into an equation...

200 reduced means... 200 -
by 2 times my age means... 2x
equals 16 means... = 16

200 - 2x = 16

Now let's solve for x to find "my age"

First subtract 200 from each side to begin to isolate x

-2x = -184

Divide each side by -2 to isolate x

x = -184/-2
x = 92

I'm 92 years old!

3 0

3 years ago

Need help with a question

Elodia [21]

so....wts the question?

6 0

3 years ago

Read 2 more answers

Classify the polynomial by degree

steposvetlana [31]

Answer:

Linear polynomial

Step-by-step explanation:

10 + 7x

The highest power of the variable is the degree of the polynomial.

Power of x is 1

Degree of the polynomial is 1

So, it is Linear polynomial

3 0

3 years ago