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Aliun [14]
3 years ago
12

Find the inverse of the function f (x) = 15 + sqrt 5x - 5

Mathematics
1 answer:
cricket20 [7]3 years ago
7 0

15 +  \sqrt{5x - 5}  = f(x)

Replace y for x and vice versa

15 +  \sqrt{5y - 5}  = x

Solve for y.

15 + 5y - 5 =  {x}^{2}

15 + 5y =  {x}^{2}  + 5

5y =  {x}^{2}  - 10

y =  \frac{ {x}^{2} - 10 }{5}

f {}^{ - 1} (x) =  \frac{ {x}^{2} - 10 }{5}

If

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3 years ago
Solve these equations: b) 7/x = 12/14 what is x?
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Step-by-step explanation:

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Read 2 more answers
Plot and connect the points A (4, 2), B (-3, 2), C(-3, 5), D (4, 5), and find the length of AB.
Phantasy [73]

Answer:

AB = 7

Step-by-step explanation:

The y-coordinate of point A and B is the same.

Therefore, both points lie on the same horizontal line (y = 2).

So determine the distance between them, subtract the x-coordinate of B from the x-coordinate of A:

AB = 4 - -3 = 4 + 3 = 7

However, to calculate the distance between 2 points, regardless if the points are on a horizontal (or vertical) line, you can always use the distance between 2 points formula that is derived from Pythagoras' Theorem, as follows:

let (x_1,y_1) = point A (4, 2)

let (x_2,y_2) = point B (-3, 2)

using the distance between two points equation:

AB=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

\implies AB=\sqrt{(-3-4)^2+(2-2)^2}

\implies AB=\sqrt{(-7)^2+(0)^2}

\implies AB=\sqrt{49}

\implies AB=7

*Edited to add a plot diagram*

5 0
3 years ago
For which of the following situations would the order that items are chosen not matter?
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Among the 4 choices, the only choice where the order does not matter is the third option:
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if Sabrina earns BACK 10% of the money on Monday, loses 10% on Tuesday, gains 10% on Wednesday and loses 10% on Thursday, how mu
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I think it is the same cause you gain 10% and you lose 10% and it keeps going on. 
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4 years ago
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