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<img src="https://tex.z-dn.net/?f=%28x%5E%7B2%7D%20y%5E4%29%20%5E%7B-3%7D" id="TexFormula1" title="(x^{2} y^4) ^{-3}" alt="(x^{2

Ymorist [56]

Answer:

hi

Step-by-step explanation:

6 0

2 years ago

Find f^-1(x) A B C D

inna [77]

Answer:

D. f⁻¹(x) = 2x + 10

Explanation:

The given is:

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

To find the inverse, follow the below procedures:

1- Convert f(x) to y.

This will give:

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

2- Swap the x and y variables.

This will give:

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

3- Solve for y.

This will give:

$x = \frac{1}{2}y - 5\\ \\ \frac{1}{2}y = x+5\\ \\ y = 2x+10$

4- Replace the y in the above step with f⁻¹(x).

This will give us:

f⁻¹(x) = 2x + 10

Hope this helps :)

8 0

3 years ago

Read 2 more answers

A certain type of bacteria reproduces so that after x hours there are 15x cells. What single power represents he size relationsh

algol [13]

Answer:

let's say cells is c and hours are x that means there are 15 cells each hour. the equation for that is c=15x

after 08 hours the cells have multiplied 8 times their original size. meaning that the equation changes to this: c=15x x=8 c= 15(8)

x equals 8 at that time.. literally

ok the cells have multiplied and now there are 120 cells in total

then after one day the cells have multiplied over 12 times afterwards. now x equals 24. the equation would look a little like this:

c=15x x=24 c= 15(24)

there are 360 cells now.

Explain in your own words the relationship between x=8 with x=24 in the equation.

7 0

2 years ago

Item 3

Kruka [31]

Answer:

The given system as (3,3) as its solution.

Step-by-step explanation:

Here, the given system of the equation is:

4 x + 2 y = 18 ................ (1)

2 x + 3 y = 15 ............... (2)

Now, to use the elimination method, w need to eliminate any of the variable.

Eliminate the variable x in the given system.

Multiply equation (2) with -2 we get,

(2 x + 3 y = 15 )(-2) ⇒ -4x - 6y = -30 ....... (3)

Add (1) and (3), we get:

4 x + 2 y -4x - 6y = 18 -30

or, - 4 y = - 12

or, y = 12/4 = 3 ⇒ y = 3

Putting in (1), we get

4x + 2(3) = 18 or, 4x = 18 - 6 = 12

or, x = 3

(x,y) = (3,3)

Hence, the above system as (3,3) as its solution.

6 0

2 years ago

Which of the following equations best represents the graph of a function f(m)?

Inessa [10]

Answer: y = f(m)

Justification:

By definition, the graph of a function in the cartesian coordinate plane is the plot of the curve that join all the points that satisfy the equation of the function.

In the cartesian coordinate plane, each point is represented by a pair of coordinates (y, x). y is the value of the function f(x), and x is any input value of the function.

In this case, the function is given as f(m), which means that the input value is represented by m.

Hence, the graph is the plot of y = f(m).

The choice of the letter used for the variable is completely arbitrary and does not change either the math or the graph. It could have been said that the function is f(x) in which case the graph would be y = f(x). Nothing changes but the name that you use.

4 0

2 years ago