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vovikov84 [41]
3 years ago
15

How do u write function notation and what variable does function notation replace

Mathematics
1 answer:
gregori [183]3 years ago
7 0
If f(x) = 2x+1; Prove f(3+1) =f(3)+f(1)
Proof: 2(3+1)+1 = 2(3)+1 + 2(1)
6+2+1 = 6+1+2
9 = 9
<span>Therefore: f(3+1) =f(3)+f(1)

this is NOT the answer just a question i got on my test its a example</span>
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Is this correct yall ??
Gnesinka [82]

Answer:

Yep

Step-by-step explanation:

Seems legit to me at least

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Where do you prefer to get
pochemuha

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Triangle with a missing segment. 30, 20, 24, x
iVinArrow [24]
A triangle only has 3 segments do ur not missing anything
4 0
4 years ago
a previous analysis of paper boxes showed that the standard deviation of the length is 9mm. What is the 98% confidence interval
il63 [147K]
We cannot calculate the confidence interval without the sample size.  However, for the second question, the sample size needed would be 49.

The formula we use is

n=(\frac{z_{\frac{\alpha}{2}}\times \sigma}{E})^2

To find the z-score:
Convert 98% to a decimal:  0.98
Subtract from 1:  1-0.98 = 0.02
Divide by 2:  0.02/2 = 0.01
Subtract from 1:  1-0.01 = 0.99

Using a z-table (http://www.z-table.com) we see that this value is closest to a z-score of 2.33.

Using the z-score, our standard deviation (9) and our margin of error (3), we have:
n=(\frac{2.33(9)}{3})^2=(6.99)^2=48.86\approx 49
6 0
3 years ago
Find the inverse f(x)=x+5/3x-1<br><br> f^-1(x)=
Kipish [7]

Answer:

  • f^-1(x) = (3/8)(x +1) . . . . as written
  • f^-1(x) = (x +5)/(3x -1) . . . with appropriate parentheses

Step-by-step explanation:

The inverse function can be found by solving for y:

  x = f(y)

  x = y + 5/3y -1 . . . . . . . . . . y +(5/3)y -1 . . . per order of operations

  x+1 = 8/3y . . . . . . . . . . add 1

  (3/8)(x +1) = y . . . . . . . . multiply by 3/8

  f^-1(x) = (3/8)(x +1) . . . . . inverse of the function as written

_____

Perhaps you intend f(x) = (x+5)/(3x-1). The inverse is found the same way.

  x = (y +5)/(3y -1)

  x(3y -1) = y +5

  3xy -x = y +5 . . . . . eliminate parentheses

  3xy -y = x + 5 . . . . . add x-y

  y(3x -1) = x +5 . . . . . factor out y

  y = (x +5)/(3x -1) . . . divide by the coefficient of y

  f^-1(x) = (x +5)/(3x -1) . . . . inverse of rational function

7 0
3 years ago
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