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docker41 [41]
2 years ago
8

The inverse, f'(x), of f(x) =

Mathematics
1 answer:
astraxan [27]2 years ago
7 0

Step-by-step explanation:

Given

f(x) =  \frac{x + 5}{x}

So

f(2) = \frac{2 + 5}{2}  \\  =  \frac{7}{2}

Now

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

So

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

Hope it will help :)❤

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Simplify (Cot t) (Sin t)/(Cos t)
Serhud [2]

Answer:

1

Step-by-step explanation:

(Cot t) (Sin t)/(Cos t)

cot = cos / sin

Replacing cot t with cos t / sin t

cos t/ sin t * (Sin t)/(Cos t)

Canceling the sin t's

cos t / cos t

1

7 0
3 years ago
Can someone help me with these questions
fredd [130]

Answer:

Do your homework by yourself

Step-by-step explanation:

4 0
2 years ago
The new building is 22.5 inches from the gymnasium in the model. What will be the actual
Len [333]

Answer:

67.5feet

Step-by-step explanation:

Given parameters:

Model distance between building and gymnasium  = 22.5 inches

Scale of model :  1 inch  = 3 feet

Unknown:

Actual ground distance  = ?

To solve this problem, we first must understand the concept of scale. A scale is a relationship that represents a dimension on a map/model compared to the true ground expression. In order to visualize or represent some real life objects on paper or in a computer, we use models. These models are an abstraction of the real world based on scales. There are different ways of representing a scale.

In this problem;

    the scale is given as;

                     1 inch on model  represents 3 feet on ground

Now, to find 22.5 inches, simply cross multiply and solve;

        If   1 inch on model  represents 3 feet on ground

              22.5 inches on a model  will be =  \frac{22. 5 inches x 3 feet }{1 inches}

                                                                   = 67.5feet

Therefore, the actual distance is 67.5feet

8 0
3 years ago
48, 56, 68, 72, 72, 78, 78, 80, 82, 84, 88, 88, 88, 90, 94, 98, 100
agasfer [191]

Answer:

52

Step-by-step explanation:

Range is the largest value minus the smallest value

100 - 48 = 52

8 0
3 years ago
Read 2 more answers
Please help me with this. Use the combination method of substitution to solve. Please show and explain work. Thanks.
Artemon [7]

Answer:

x = 25.35 (or 2129/84) and y = 4334.04 (or 121353/28)

Step-by-step explanation:

The given equations are set up and ready to go with substitution. Simply just plug in the first equation to the second equation as both are equal to y.

Step 1: Replace y in <em>y = 87x + 2129 </em>with <em>171x</em>

171x = 87x + 2129

Step 2: Subtract 87 x on both sides

84x = 2129

Step 3: Divide both sides by 84 to get x

x = 2129/84 or 25.35 (rounded)

To get y, simply plug in x into one of the 2 original equations. In this case, I will use the first equation:

y = 171 (25.35)

y = 121353/28 or 4334.04 (rounded)

You can check your work by plugging both solutions into the calculator and see if they equal each other. The values for these answers are solely based on the equations, so if you write the <em>equations </em>wrong themselves, then that means you have the values wrong as well.

6 0
3 years ago
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