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Alecsey [184]
2 years ago
15

Find the inverse of f(x) = -6xˆ2 + 24x - 100

Mathematics
1 answer:
monitta2 years ago
5 0

Answer:

See below

Step-by-step explanation:

y = -6x^2 + 24x-100

solve for 'x'

y + 100 =   -6x^2 + 24x   = -6(x^2-4x)    complete the square for x

(y+100) /(-6 ) =    (x-2)^2 -4                     add 4 to both sides

(y+100)/(-6) +4   = (x-2)^2                       sqrt both sides

sqrt [  ( y+100)/(-6) + 4  ]  + 2 = x           change  x and y

y = ± sqrt [ (x+100)/(-6) + 4 ] + 2            simplify (if needed)

<u>y  = ± sqrt( -x/6 -12.666)  + 2 </u>

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Solve for x.<br> 144°<br> 18 degrees<br> 30 degrees<br> 48 degrees<br> 120 degrees
disa [49]

Answer:

<h2><u><em>x = 18 °</em></u></h2>

Step-by-step explanation:

you have a rotation angle of 360 °, take out the known values ​​(360 ° -90 ° -144 ° = 126), 144 ° is part of a flat angle of 180 °, from 180 ° remove 144 and you have 36 °, they are opposite angles therefore the same. therefore 360 ​​- 144 - 90 - 36 - 36 = 54.

54 is 3x, so x = 18 ° (54 : 3 = 18)

7 0
2 years ago
The distance between Capeton and Jonesville is 80 miles. The scale on the map is 0.75 in. : 10 miles. How far apart are the citi
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The answer to this question is 6 in. Hope this helps.
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3 years ago
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SpyIntel [72]
We are to find the Probability the someone buys a book that is paperback and fiction.

Let P(F) represents the event that the book is fiction and P(P) represents the event that the book is paperback. We are to find P(F∩P)

P(F∩P) = P(F) x P(P)

From the tree diagram we can see that:

P(F) = 0.45
P(P) = 0.65

Using the values, we get:

P(F∩P) = 0.45 x 0.65 = 0.2925

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So, option B gives the correct answer
3 0
3 years ago
Select the correct answer.<br> Which graph shows a function and its inverse?
labwork [276]

Answer:

See below

Step-by-step explanation:

If a function is bijective and 1-to-1, then it will have an inverse function. Consequentially, they will be symmetrical about the line y=x, which is a diagonal line passing through the origin at a 45 degree angle.

None of the graphs look correct though, but it also seems that some options are cut out, so make sure to choose the correct graph given the characteristics I've previously described.

6 0
2 years ago
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Answer:

a. Mean

Step-by-step explanation:

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We know that in a normal distribution all central tendencies (mean, mode, median) are equal.

When a very large or very small valued data point is added to data set, mean is mostly affected by that outlier.

We know that mode of a data set is the point that appears at-most in the data set, so outliers doesn't affect mode.

Median of a data set is less affected by outliers.

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