Four friends equally share three candy bars. Which fraction represents how much each friends receives?

Lina20 [59]

The given function is,

$f(x)= \frac{2x-1}{x+5}$ .

Or, $y= \frac{2x-1}{x+5}$

To find the inverse of a function, first step is to switch x and y. Therefore,

$x= \frac{2y-1}{y+5}$

Next stpe is to solve the above equation for y t get the inverse f f(x). Hence, multiply each sides by y + 5 to get rid of fraction form. So,

$x*(y+5)= \frac{2y-1}{y+5}*(y+5)$

xy + 5x = 2y - 1

xy = 2y - 1 - 5x Subtract 5x from each sides to isolate y.

xy - 2y = -5x - 1 Subtract 2y from each sides.

y(x - 2) = -5x -1 Take out the common factor y.

$\frac{y(x-2)}{(x-2)} =\frac{(-5x-1)}{(x-2)}$ Divide each sides by x-2.

$y=\frac{(-5x-1)}{(x-2)}$

So, $f^-1(x)=\frac{-5x-1}{x-2}$

Now when we will compare $f^-1(x)=\frac{-5x-1}{x-2}$ with $f^-1(x)=\frac{ax+b}{cx+d}$ then we will get a = -5, b = -1, c = 1 and d=-2

So, $\frac{a}{c} =\frac{-5}{1} =-5$

Hope this helps you!

6 0

2 years ago

Help me please :/ do any of y’all know the answer?

andriy [413]

Answer:

9

Step-by-step explanation:

36/4 = 9

5 0

3 years ago

To factor the quadratic expression x^2−8x−10 by completing the square, what value would be added? A. 64 B. 8 C. 16 D.-16

Elan Coil [88]

Answer:

C

Step-by-step explanation:

When completing the square, we essentially want to create a perfect square trinomial by adding a constant.

If we have the following expression:

$x^2+bx$

And we want to complete the square, we will need to divide the b-coefficient by half and then square it.

Thus, the added term should be:

$(b/2)^2$

In the given equation, we have:

$(x^2-8x)-10$

The b term here is 8. Therefore:

$(8/2)^2\\=(4)^2\\=16$

The value we would add would be 16.

The answer is C.

Further notes:

To complete the square, add 16 like mentioned earlier. However, we also need to subtract 16 to balance things out:

$(x^2-8x)-10\\=(x^2-8x+16)-10-16\\$

The expression inside the parentheses is now a perfect square trinomial. Factor it:

$=((x)^2-2(4)(x)+(4)^2)-26\\=(x-4)^2-26$

And we are done!

4 0

3 years ago

Read 2 more answers

Carlos cut StartFraction 5 Over 12 EndFraction of a yard of cloth into 5 pieces of equal length. What was the length of each pie

erastovalidia [21]

Answer:

Each piece of cloth is (1/12) of a yard long.

Step-by-step explanation:

Carlus cut 5/12 of a yard of cloth into 5 pieces of equal length.

To find the length of each piece of cloth, we need to find the quotient between the length of the piece of cloth, and the number of pieces in which we divide it.

This is:

length = $\frac{(5/12)yd}{5} = \frac{5yd}{12*5} = \frac{1yd}{12} \frac{5}{5} = \frac{1 }{12} yd$

This means that the length of each piece of cloth is (1/12) of a yard long.

5 0

3 years ago

Ok so I have math homework and I need so help ASAP I need to find the average of 35 40 12 16 25 and 10 so could someone plz plz

sleet_krkn [62]

Answer: 23! Add your numbers, and divide that sum by the amount of numbers added to get average!

Step-by-step explanation:

The average is found by adding all numbers of the sample, and diving by the amount of numbers added. For example:

The average of 1, 2, and 3. You first add 1 + 2 + 3 to get 6.

You then divide 6 by the number of numbers added, being 3 (1, 2, and 3.).

6 / 3 = 2. The average of 1, 2, and 3 is 2.

In your case, you have 35, 40, 12, 16, 25, and 10.

First you add 35 + 40 + 12 + 16 + 25 + 10 to get 138.

Then you divide 138 by the amount of numbers you added: 6.

138 divided by 6 = 23 (138/6).

Hope this helps!

Add your numbers, and divide that sum by the amount of numbers added to get average!

4 0

3 years ago

Read 2 more answers