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klemol [59]
2 years ago
12

If f(x) = 5x, what is f^-1(x)

Mathematics
2 answers:
sergij07 [2.7K]2 years ago
6 0

Answer:

f^-1(x) = 1/5 x

Step-by-step explanation:

y = 5x

Exchange x and y to find the inverse

x = 5y

Solve for y

1/5x = y

The inverse is 1/5x

Delicious77 [7]2 years ago
4 0

Answer:

\Large \boxed{f^{-1}(x)=\frac{x}{5} }

Step-by-step explanation:

f(x) = 5x

Replace f(x) with y.

y = 5x

Switch variables.

x = 5y

Divide both sides by 5.

\frac{x}{5} =y

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solve the equations below. make sure you say how many solutions each equation has(MCC.8.EE.7a) A. 5p-9=7p-19 b. 5p-9= 5p-19 C. 5
Sedaia [141]
<h3>Answer:</h3>
  • A) p = 5, one solution
  • B) no solutions
  • C) infinite solutions
<h3>Step-by-step explanation:</h3>

A) Add 19-5p to each side of the equation:

... 10 = 2p

... 5 = p . . . . . divide by the coefficient of p

B) Subtract 5p from both sides of the equation:

... -9 = -19 . . . . . there is <em>no value of p</em> that will make this true. (No solution.)

C) Subtract 5p from both sides of the equation:

... -9 = -9 . . . . . this is true for <em>every value of p</em>. (Infinite solutions.)

6 0
3 years ago
Help asap
ZanzabumX [31]

Your fruit punch recipe can be composed of 4 juice containers of lemonade, 2 juice containers of orange juice, 2 juice containers of grape juice, 2 juice containers of apple juice, 2 juice containers of cranberry juice, and 2 juice containers of pineapple juice.

<h3>Unit conversion</h3>

Unit conversion is a tool very useful to solve some questions. For this exercise, you should know that  1 liter (l) = 1000 milliliters (ml).

The question asks you a design your own fruit punch recipe with exactly 5 liters of punch and includes at least three of the juice.

You have several options, an alternative is to use all juices.

  • Step 1 - Convert the units for each given juice containers

         250 milliliters of lemonade = 0.250 l of lemonade juice

         500 milliliters of orange juice = 0.500 l of orange juice

         250 milliliters of grape juice = 0.250 l of grape juice

         250 milliliters of apple juice= 0.250 l  of apple juice

         500 milliliters of cranberry juice =  0.500 l of cranberry juice

         500 milliliter’s of pineapple juice = 0.500 l of pineapple juice

  • Step 2 -Design your own fruit punch recipe with  exactly 5 liters

 4 juice containers of lemonade = 4* 0.250 l = 1 l of lemonade

 2 juice containers of orange juice= 2* 0.500 l = 1 l of orange juice

2 juice containers of grape juice= 2* 0.250 l = 0.500 l of grape juice

2 juice containers of apple juice= 2* 0.250 l = 0.500 l of apple juice

 2 juice containers of cranberry juice= 2* 0.500 l = 1 l of cranberry juice

 2 juice containers of  pineapple juice= 2* 0.500 l = 1 l pineapple juice

Thus, your own fruit punch recipe is composed of: 4 juice containers of lemonade, 2 juice containers of orange juice, 2 juice containers of grape juice, 2 juice containers of apple juice, 2 juice containers of cranberry juice, and 2 juice containers of pineapple juice.

Read more about the unit conversion for capacity here:

brainly.com/question/14965845

4 0
2 years ago
9. Given 8x+4y = 4, identify the slope and y-intercept.
Elden [556K]

Answer:

A) Slope = -2 and y-int = 1

Step-by-step explanation:

The easiest way to get the slope and y-intercept from an equation is to put it in slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.

So, let's subtract 8x from both sides, leaving 4y on the left side:

8x + 4y = 4 -> 4y = -8x + 4

Now, let's divide both sides by 4, so that we can have just y on the left side:

y = -2x + 1

-2 is the slope, and 1 is the y-intercept.

3 0
3 years ago
Question 3: i’ll mark u brainliest
Alexeev081 [22]

Answer:

26

Step-by-step explanation:

56cm-48cm=8cm

18cm+8cm=26cm

6 0
2 years ago
Read 2 more answers
800 is 10 times as much as
Anon25 [30]
80 because 800= 10 x 8
3 0
3 years ago
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