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3 years ago

6x - 3 = 3( 2x - 1 ) what is the answer need it fast please and thank you

Mathematics

2 answers:

Bezzdna [24]3 years ago

7 0

Answer:

x=x

Step-by-step explanation:

6x-3=3(2x-1)

Used Distributive property to 3(2x-1)

6x-3=6x-3

Add 3 to both sides:

6x=6x

Divide 6 from both sides:

x=x

Andrew [12]3 years ago

6 0

Answer:

Any number for x will work

Step-by-step explanation:

6x-3=3(2x-1)

expand

6x-3=6x-3

add three to both sides

6x=6x

simplify

x=x

Therefore any number for x will work

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Questions 2-7 will all be in regards to this data set:Observation X Y1 20 302 23 353 28 404 26 385 24 376 32 457 35 508 24 349 3

Tomtit [17]

Answer:

r =0.4437

Step-by-step explanation:

We have the follwoing dataset:

X: 20,23,53,4,24,32,35,24,31,23

Y: 30,35,40,38,37,45,50,34,42,32

n=10

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.

And in order to calculate the correlation coefficient we can use this formula:

$r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}$

For our case we have this:

n=10 $\sum x = 269, \sum y = 383, \sum xy = 10609, \sum x^2 =8645, \sum y^2 =15007$

Th excel figure attached shows the calculations for each sum.

$r=\frac{10(10609)-(269)(383)}{\sqrt{[10(8645) -(269)^2][10(15007) -(383)^2]}}=0.4437$

So then the correlation coefficient would be r =0.4437

3 0

3 years ago

Oil consumption is increasing at a rate of 1.8% per year. by what factor will oil consumption increase inn 6 years? Use the appr

Vesna [10]

$\frac{70}{1,8} \approx 38.8 \ \ \ \ \ \rightarrow \ the \ amount \ of \ time \ to \ double \ the \ consumption \\ \\
38,8 - 100\% \\ 6 - x \\
38,8 x = 600\% \\x \approx 15.5\% \\ \\
In \ six \ years \ oil \ consumption \ will \ increase \ by \ approximately \ 15.5\%$

6 0

3 years ago

Read 2 more answers

1. Choose the best descriptor for the graph of f(x)=e^x+5.

Black_prince [1.1K]

Starting from a parent function $f(x)$ , if you add a constant to the whole function, i.e. you perform the transformation

$f(x) \to f(x)+k$

you shift the graph of the parent function by $k$ units, upwards if $k$ is positive, downwards otherwise.

In this case, so, you're shifting, the graph of $e^x$ 5 units upwards. Since the parent function passes through the point $(0,1)$ , because $e^0=1$ , the shifted graph mantains the same $x$ coordinate, but the $y$ coordinate is increased by 5, because of the 5 units upwards shift.