( 2 , -2 ) and x

The sum of b and 6 is 19

valentina_108 [34]

Answer:

b+6=19

Step-by-step explanation:

by the words you can write your equation if you are looking to solve your answer would be 13

5 0

2 years ago

Given r(x) = 11/ (x - 42)

julsineya [31]

For a given function f(x) we define the domain restrictions as values of x that we can not use in our function. Also, for a function f(x) we define the inverse g(x) as a function such that:

g(f(x)) = x = f(g(x))

<u>The restriction is:</u>

x ≠ 4

<u>The inverse is:</u>

$y = 4 + \sqrt{\frac{11}{x} }$

Here our function is:

$f(x) = \frac{11}{(x - 4)^2}$

We know that we can not divide by zero, so the only restriction in this function will be the one that makes the denominator equal to zero.

(x - 4)^2 = 0

x - 4 = 0

x = 4

So the only value of x that we need to remove from the domain is x = 4.

To find the inverse we try with the general form:

$g(x) = a + \sqrt{\frac{b}{x} }$

Evaluating this in our function we get:

$g(f(x)) = a + \sqrt{\frac{b}{f(x)} } = a + \sqrt{\frac{b*(x - 4)^2}{11 }}\\\\g(f(x)) = a + \sqrt{\frac{b}{11 }}*(x - 4)$

Remember that the thing above must be equal to x, so we get:

$g(f(x)) = a + \sqrt{\frac{b}{11 }}*(x - 4) = x\\\\{\frac{b}{11 }} = 1\\{\frac{b}{11 }}*4 - a = 0$

From the two above equations we find:

b = 11

a = 4

Thus the inverse equation is:

$y = 4 + \sqrt{\frac{11}{x} }$

If you want to learn more, you can read:

brainly.com/question/10300045

3 0

2 years ago

I need answers to this

ololo11 [35]

Answer:

x = -5, and y = -6

Step-by-step explanation:

Suppose that we have two equations:

A = B

and

C = D

combining the equations means that we will do:

First we multiply both whole equations by constants:

k*(A = B) ---> k*A = k*B

j*(C = D) ----> j*C = j*D

And then we "add" them:

k*A + j*C = k*B + j*D

Now we have the equations:

-x - y = 11

4*x - 5*y = 10

We want to add them in a given form that one of the variables cancels, so we can solve it for the other variable.

Then we can take the first equation:

-x - y = 11

and multiply both sides by 4.

4*(-x - y = 11)

Then we get:

4*(-x - y) = 4*11

-4*x - 4*y = 44

Now we have the two equations:

-4*x - 4*y = 44

4*x - 5*y = 10

(here we can think that we multiplied the second equation by 1, then we have k = 4, and j = 1)

If we add them, we get:

(-4*x - 4*y) + (4*x - 5*y) = 10 + 44

-4*x - 4*y + 4*x - 5*y = 54

-9*y = 54

So we combined the equations and now ended with an equation that is really easy to solve for y.

y = 54/-9 = -6

Now that we know the value of y, we can simply replace it in one of the two equations to get the value of x.

-x - y = 11

-x - (-6) = 11

-x + 6 = 11

-x = 11 -6 = 5

-x = 5

x = -5

Then:

x = -5, and y = -6

5 0

2 years ago

Javine divided the two polynomial shown what is the quotient

Contact [7]

Find the formula for the polynomial
then solve

7 0

2 years ago

CHALLENGE PROBLEM Danny's Department Store advertises savings of

Oksanka [162]

Discount are used to reduce the costs of items

The percent paid to determine the advertisement is incorrect

<h3>How to determine the correct percentage</h3>

The initial prices are given as: $44.00 to $152.00

And the discount is: 45% to 51%

At a discount of 45%, the price of the items would be:

$Price = \$44.00 * (1 - 45\%)$

$Price = \$24.2$

$Price_2 = \$152.00 * (1 - 45\%)$

$Price_2 = \$83.6$

At a discount of 51%, the price of the items would be:

$Price = \$44.00 * (1 - 51\%)$

$Price = \$21.56$

$Price_2 = \$152.00 * (1 - 51\%)$

$Price_2 = \$74.48$

The calculates prices show that the percent paid to determine the advertisement is incorrect

( 2 , -2 ) and x - y = 12