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Dvinal [7]
3 years ago
5

What is the inverse of the function f(x) =2x+1?

Mathematics
2 answers:
jonny [76]3 years ago
8 0

(x - 1) \div 2

nadezda [96]3 years ago
7 0

Answer:

f^{-1}(x)=\dfrac{x-1}{2}

Step-by-step explanation:

Given: f(x)=2x+1

To find: The inverse of f(x)

Step 1: Set f(x)=y

y = 2x + 1

Step 2: Switch x and y

x = 2y + 1

Step 3: Solve for y

2y=x-1

y=\dfrac{x-1}{2}

We assumed y=f(x)

switch x and y

Thus, f^{-1}x=y

Hence, The inverse of f(x)=2x+1 is f^{-1}(x)=\dfrac{x-1}{2}

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Reorder the following equations in ascending order of steepness: y= 15x + 5 y= 0.15x - 1 y=x y= x + 100
Gre4nikov [31]

Answer:

y= 0.15x - 1, y = x, y = x + 100, y = 15x + 5.

Step-by-step explanation:

When the slope of a line is less than 1 (if the slope is a decimal), the slope will not be steep. But when the slope is more than 1, the slope will be steeper than the average.

According to that rule, the steepest will be y = 15x + 5.

The next steepest equations will be y = x and y = x + 100 (they are both at the same degree of steepness; the intercept does not impact the steepness of the line).

The least steepest will bey = 0.15x - 1.

So, the order, from least steep to most steep, will be y= 0.15x - 1, y = x, y = x + 100, y = 15x + 5.

Hope this helps!

8 0
4 years ago
Cheryl painted her living room walls with two different colors. She painted part of the room yellow and another part green. If t
kramer

Answer:

Total percent of the room did she paint green = 60%

Step-by-step explanation:

Given - Cheryl painted her living room walls with two different colors. She painted part of the room yellow and another part green. If the surface area of the walls in her room is 720 ft² and she painted 288 ft² yellow.

To find - What percent of the room did she paint green ?

Proof -

Given that,

The surface area of the walls in her room = 720 ft²

Total area painted in yellow color = 288 ft²

So,

Total area painted in green color would be = 720 - 288 = 432 ft²

Now,

Let the total percent green color painted = x

So,

720 × x% = 432

⇒720*\frac{x}{100}  = 432

⇒ x = \frac{432*100}{720} = 60

∴ we get

Total percent of the room did she paint green = 60%

7 0
3 years ago
7:( 4/11 m)=56:3.2 solve.
vazorg [7]

Answer:

m= 1.1

Step-by-step explanation:

Given the question as 7:( 4/11 m)=56:3.2 this can be written as;

7: 4/11 m = 56 /3.2

7/4/11m = 560/32 ------------------perform cross multiplication

77*32=560*4/11m

224=2240/11 m

224=203.636 m--------------divide both sides by 203.636 to get m

224/203.636 = 203.636m/203.636

1.1 =m

Testing the value of m in the question

7: (4/11 *1.1) = 56:3.2

7:0.4 = 56 :3.2

70/4 = 560/32

17.5 =17.5

4 0
4 years ago
Evaluate -4|-4|.<br> 0-8<br> 8<br> 16<br> -16
fenix001 [56]

9514 1404 393

Answer:

  -16

Step-by-step explanation:

The absolute value function gives the positive value of the argument, so this is ...

  -4|-4| = -4·4 = -16

4 0
3 years ago
This Stem-and-Leaf Plot shows the number of students in each of the karate classes held at the local recreation center last week
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