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jek_recluse [69]
3 years ago
6

Iliana was part of a group that was working on changing 0.4 repeated to a fraction. Each member of the group had a different ans

wer. Which answer is correct?
Mathematics
2 answers:
sveta [45]3 years ago
4 0

Answer:

C (4/9)

Step-by-step explanation:

amm18123 years ago
3 0
\bf 0.444444444\overline{4}\impliedby \textit{and keeps on going}\\\\
-------------------------------\\\\
\textit{let's say }\boxed{x=0.444444444\overline{4}}\quad \textit{ thus }10\cdot x=4.44444444\overline{4}
\\\\\\
\textit{wait a minute! }4.44444444\overline{4}\textit{ is really just }4+0.444444444\overline{4}

\bf \textit{but we know }x=0.444444444\overline{4} \textit{ so then }4+0.444444444\overline{4}=\boxed{4+x}
\\\\\\
\textit{wait a second! }10\cdot x\implies 10x=4.444444444\overline{4}=4+x
\\\\\\
thus\qquad 10x=4+x\implies 10x-x=4\implies 9x=4\implies \boxed{x=\cfrac{4}{9}}

you can check in your calculator.

anyhow, to get the "recurring decimal to fraction", you start by setting to some variable, "x" in this case, then move the repeating part to the left of the point by multiplying it by some power of 10, and then do the equating.
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What is thr inverse of f(x) if the function is x=-4,-2,0,2,4 f(x)=-2,-1,0,1,2
Lorico [155]
For a function, if it has an inverse function, keep in mind that, the "domain of the original, is the range of the inverse, and the range of the original, is the domain of the inverse", what the dickens does that mean?

well, it means the values for "x" and f(x), on the inverse, are the same values, but swapped up, therefore

\bf \stackrel{original~function}{\begin{array}{ccll}
x&f(x)\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
-4&-2\\
-2&-1\\
0&0\\
2&1\\
4&2
\end{array}}\qquad \qquad \qquad 
\stackrel{inverse~function}{\begin{array}{ccll}
x&f(x)\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
-2&-4\\
-1&-2\\
0&0\\
1&2\\
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7 0
3 years ago
120 books of the same size are packed in 5 boxes. How many such boxes are needed to pack 216 similar books?
monitta

Answer:

lets find how many books are in each box

120/5=24

so 24 book in a box so lets divide for the 216 books

216/24=9

9 boxes

Hope This Helps!!!

7 0
2 years ago
I HAVE A MATH TEST PLZ HELP I'M GIVING OUT 50 POINTS PLZ<br><br> S.O.S I HAVE MATH
Nady [450]

Answer:

<em>Graph included as picture</em>

Step-by-step explanation:

To solve this, plot the given points on the graph

Draw a line through them.

Now select two of those values and we'll find the rate of change.

We'll be using (1,-1) and (3,3)

To find rate of change we will be using the formula: \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

y_{2} = 3\\y_{1} =-1\\x_{2} = 3\\x_{1} = 1

\frac{3-(-1)}{3-1} = \frac{4}{2} = 2

So the rate of change is 2

You will use this rate of change for your other function because they both have the same rate of change

Since we have the rate of change, we can create the slope intercept form formula: y = mx +b

Just substitute for the variables we know

m = rate of change/slope = 2

b = y-intercept = -3

y = 2x + -3

<em>[If you connected all the points in your graph, that's how you found the y-intercept]</em>

Now we have to create the formula for the second function.

We know it will have that same slope of 2

so we have y = 2x + b

To solve for b we can plug in the values we do have which would be (x,y) of (3,6)

6 = 2(3) + b

Now solve

6 = 6 + b

6 (-6) = 6 (-6) + b

0 = b

b = 0

This mean that the y-intercept will be on (0,0)

Plot that point

Now we finish the formula

y = 2x + 0

Connect the dots, make sure the line continues on both of them past the dots and now you have your graph!

I've included a picture of the graph for your reference. I hope this helps, don't be afraid to reach out with further questions!

4 0
2 years ago
Help would be appreciated
NemiM [27]
Hello!

First you have to find the area of the space

300 * 500 = 150000

Next you have to find the space 5 people take up

5 * 5 = 25

Divide these two numbers

150000 / 25 = 6000

multiply this by the amount of people take up that space

6000 * 5 = 30000

The answer is D)30,000 people

Hope this helps!
7 0
3 years ago
Read 2 more answers
What is the equation of the line that passes through the point (8,6)(8,6) and has a slope of 3 over 2 slash 3/2?
kow [346]

Answer:

it will be equal 0

Step-by-step explanation:

8 0
3 years ago
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