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Roman55 [17]
3 years ago
14

Factor completely x^2-12x+36

Mathematics
1 answer:
Elenna [48]3 years ago
4 0

Answer:

{(x - 6)}^{2}

Step-by-step explanation:

= {x}^{2} - 12x + 36 \\  = {x}^{2} - (6 + 6)x + 36 \\  =  {x }^{2} - 6x - 6x + 36 \\  = x(x  -  6) - 6(x  - 6) \\  =(x - 6)(x - 6) \\  =  {(x - 6)}^{2}

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30 POINTS! Find an explicit formula for the geometric sequence −1,−7,−49,−343<br> d(n)=
e-lub [12.9K]

Answer:

<h2>d(n) = { - 7}^{n - 1}</h2>

Step-by-step explanation:

Since the sequence above is a geometric sequence

For an nth term in a geometric sequence

<h3>d(n) = a ({r})^{n - 1}</h3>

where

a is the first term

r is the common ratio

n is the nth term

To find the common ratio divide the previous term by the next term

That's

<h3>r =  \frac{ - 7}{ - 1}  = 7 \:  \:  \:  \: or \\ r =  \frac{ - 49}{ - 7}  = 7 \:  \:  \:  or \\ r =   \frac{ - 343}{ - 49}   = 7</h3>

So the common ratio / r = 7

the first term is - 1

Substitute the values into the above formula

<h3>d(n) =  - 1( {7})^{n - 1}  \\</h3>

We have the final answer as

<h3>d(n) = { - 7}^{n - 1}</h3>

Hope this helps you

3 0
4 years ago
The heart rate of 10 adults is measured and the results are 83, 87, 90, 92, 93, 100, 104, 111, 115, 121. Find the interquartile
zloy xaker [14]

The interquartile range of the data set is 21.

Given that the heart rate of 10 adults is measured and the results are 83, 87, 90, 92, 93, 100, 104, 111, 115, 121.

The interquartile range shows the extent of the middle half of the distribution. Quartiles segment any distribution, ordered from low to high, into four equal parts. The interquartile range (IQR) contains the second and third interquartile ranges, the central half of the dataset.

The value of quartile 1 is Q₁=90

The value of quartile 3 is Q₃=111

So, the interquartile range is

IQR=Q₃-Q₁

IQR=111-90

IQR=21

Hence, the interquartile range of the data set 83, 87, 90, 92, 93, 100, 104, 111, 115, 121 is 21.

Learn more about the interquartile range from here brainly.com/qustion/18723655

#SPJ4

6 0
2 years ago
Write the equation for the line best fit.​
uysha [10]

Step-by-step explanation:

https://youtu.be/DmGLQkUm-4g

8 0
3 years ago
EASY MATH PLEASE HELP!
zhenek [66]

Answer:

40 Percent

Step-by-step explanation:

7 0
3 years ago
3=-m+b -2=2m+b<br> find m and b
kiruha [24]

Answer:

b = 4/3

m = -5/3

Step-by-step explanation:

3=-m+b

-2=2m+b

Subtract the second equation from the first

3=-m+b

-( -2=2m+b)

------------------------

  3=-m+b

+ 2=-2m-b

------------------------

5= -3m +0b

Divide by -3

5/-3 = -3m/-3

-5/3 = m

Now we can find b

3=-m+b

3 = - (-5/3) +b

3 = 5/3 +b

Subtract 5/3 from each side

3 -5/3 = b

9/3 - 5/3 = b

4/3 =b

4 0
2 years ago
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