Solve the system of equations solve for x<br>y=6x+12<br>solve for y<br>y=x+47

Ruben bought 6 new books for his collection. This increased his collection by 12%. How many books does he have now?

Helen [10]

Let's create a variable to represent the size of Ruben's book collection prior to his buying the new books.

B = number of books in Ruben's collection before buying new ones

So, we know that when he bought 6 books, this increased his collection by 12%.

12% of his book collection would be represented by 0.12B. Therefore, we know that:

0.12B = 6

Divide both sides by 0.12, to get to B = 50.

However, you are being asked how many books does he have now. B represents the number of books he had before. Therefore you want to add back the 6 books he just bought.

The answer is 50 + 6 = 56

7 0

3 years ago

Which correlation coefficient best represents a moderate relationship showing fewer anxiety symptoms in people who report higher

weqwewe [10]

Answer:

a) -0.5

Step-by-step explanation:

Correlation

Correlation is a technique that help us to find or define a relationship between two variables.

It is a measure of linear relationship between two quantities.

A positive correlation means that an increase in one quantity leads to an increase in another quantity

A negative correlation means with increase in one quantity the other quantity decreases.

Values between 0 and -0.3 tells about a weak negative linear relationship, values between -0.3 and -0.7 shows a moderate negative correlation and a correlation value of of -0.7 and -1.0 states a strong negative linear relationship.

Anxiety symptoms and life satisfaction are negatively correlated. As life satisfaction increases the anxiety symptoms decreases.

Thus, a moderate correlation between them can be expressed by a correlation coefficient of -0.5

5 0

3 years ago

Finish the lyrics:

iragen [17]

Answer:

Time square can't shine as bright as you

I swear, it's true

Hey there, Delilah

Don't you worry about the distance

I'm right there if you get lonely

Give this song another listen

Close your eyes

Listen to my voice, it's my disguise

I'm by your side

Oh, it's what you do to me

What you do to me

Hey there, Delilah

I know times are gettin' hard

But just believe me, girl

Someday I'll pay the bills with this guitar

We'll have it good

We'll have the life we knew we would

My word is good

Hey there, Delilah

I've got so much left to say

If every simple song I wrote to you

Would take your breath away

I'd write it all

Even more in love with me you'd fall

We'd have it all

Oh, it's what you do to me

A thousand miles seems pretty far

But they've got planes and trains and cars

I'd walk to you if I had no other way

Our friends would all make fun of us

And we'll just laugh along because we know

That none of them have felt this way

Delilah, I can promise you

That by the time we get through

The world will never ever be the same

And you're to blame

Hey there, Delilah

You be good, and don't you miss me

Two more years and you'll be done with school

And I'll be makin' history like I do

You'll know it's all because of you

We can do whatever we want to

Hey there, Delilah, here's to you

This ones for you

Oh, it's what you do to me

What you do to me

Oh, whoa, whoa

Oh whoa, oh

Oh, oh

Step-by-step explanatio

7 0

3 years ago

Read 2 more answers

Please help will give brainliest

photoshop1234 [79]

<h2>Answer:</h2><h2 />

If we have two functions $f \ and \ g$ such that $f(g(x))=x$ for every $x$ in the domain of $g$ , and $g(f(x))=x$ for every for every $x$ in the domain of $f$ . If we prove this, then $g$ is the invers function of $f$ and denoted by $f^{-1}$

1. We need to prove whether $f(g(x))=x$ . So:

$f(x)=\frac{4}{5}x+1 \\ \\ g(x)=\frac{5x-5}{4} \\ \\ So: \\ \\ f(g(x))=\frac{4}{5}\left(\frac{5x-5}{4})+1 \therefore f(g(x))=\frac{4}{5}\left(\frac{5x-5}{4})+1$