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11Alexandr11 [23.1K]
3 years ago
10

How do you simplify that?

Mathematics
1 answer:
elena55 [62]3 years ago
7 0

Hello from MrBillDoesMath!


Answer:

- 2/3 sqrt(3)

Discussion:

8 = 4 * 2

6 = 3 * 2


so

sqrt(8)/sqrt(6) =

(2* sqrt(2) )  /  (sqrt(2) * sqrt(3))   =>     (cancel sqrt(2) from num and denom)

2/sqrt(3) =                                            (multiply num and denom by sqrt(3)

2* (sqrt(3)) / 3

= 2/3 sqrt(3)

Don't forget to add the minus sign shown in the problem statement!



Thank you,

MrB

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Complete the TABLE of values for x+y=6.
kvasek [131]

Answer:

X        Y

-2       8

-1        7

0        6

1         5

2        4

3        3

Step-by-step explanation:

We have the equation: x+y=6

We want to get this in the form: y=mx+b (or in this case y=x+b)

To do this we need y to be positive and by itself

So we subtract y from both sides and divide by -1 (we divide by -1 because otherwise y would be negative and that does not fit our template of y=x+b)

Doing this we have

-x+6=y

From here we just plug in numbers -2 to 3 which I will assume you know how to do

X        Y

-2       8

-1        7

0        6

1         5

2        4

3        3

6 0
3 years ago
Let ​f(x)=x^2+6x−16​.<br> Enter the x-intercepts of the quadratic function in the boxes.
Sauron [17]

\underline{\underline{\large\bf{Given:-}}}

\red{\leadsto}\:\textsf{}\sf f(x)= x^2+6x−16

\underline{\underline{\large\bf{To Find:-}}}

\orange{\leadsto}\:\textsf{ x-intercepts of the quadratic function }\sf

\\

\underline{\underline{\large\bf{Solution:-}}}\\

\longrightarrowx- intercept is the point where graph of given function touches the x-axis,f(x) becomes 0 at the point where graph of given function touches the x-axis. Therefore, we would to solve x^2+6x−16=0 and find its root.

\begin{gathered}\\\implies\quad \sf x^2+6x−16=0 \\\end{gathered}

\begin{gathered}\\\implies\quad \sf x^2+8x-2x −16=0 \\\end{gathered}

\begin{gathered}\\\implies\quad \sf x(x+8)-2(x+8)=0 \\\end{gathered}

\begin{gathered}\\\implies\quad \sf (x-2)(x+8)=0\\\end{gathered}

\begin{gathered}\\\implies\quad \sf  x=2\quad or \quad x=-8 \\\end{gathered}

\leadstox-intercepts of the given quadratic function are 2 and -8 .

7 0
3 years ago
What is the mean of this data set? {6, 11, 5, 2, 7} Enter your answer as a decimal in the box.
Elenna [48]

Answer:

The mean is 6.2.

Step-by-step explanation:

The "mean" is the same thing as the "average". Essentially, the question is asking for the average of the numbers.

So:

Add up all of the terms. [6 + 11 + 5 + 2 + 7] = 31

You find the average by dividing the sum of the terms (31) by the number of terms (5).

31/5 = 6.2

The mean is 6.2.

I hope this helped! :)

4 0
2 years ago
If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalen
Alisiya [41]
The answer is <span>2(–4y + 13) – 3y = –29

Step 1: Express </span><span>x from the second equation
Step 2: Substitute x into the first equation:

The system of equations is:
</span><span>2x – 3y = –29 
x + 4y = 13

Step 1: 
</span>The second equation is:    x + 4y = 13
Rearrange it to get x:         x = - 4y + 13

Step 2:
The first equation is:          2x – 3y = –29 
The second equation is:    x = - 4y + 13
Substitute x from the second equation into the first one:
2(-4y + 13) - 3y = -29

Therefore, the second choice is correct.
5 0
4 years ago
30 points to answer this page and show work
hjlf
Answers to 1, 2, and 3 are in the picture

3 0
3 years ago
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