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VLD [36.1K]
3 years ago
14

What is the inverse of this function

Mathematics
1 answer:
just olya [345]3 years ago
6 0
G(x) = (25 - x)/5     First lets call g(x) by its other name - y

y = (25 - x)/5         Now switch the x and y

x = (25 - y)/5        Solve for y which is now the inverse - call this g^{-1}(x)

5x = 25 - y
y = 25 - 5x      this is the inverse so g^{-1}(x) = 25 - 5x
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Use a Venn diagram to answer the question. A survey of 180 families showed that 67 had a​ dog; 52 had a​ cat; 22 had a dog and a
Mice21 [21]

Answer:

There are 13 families had a parakeet only

Step-by-step explanation:

* Lets explain the problem

- There are 180 families

- 67 families had a dog

- 52 families had a cat

- 22 families had a dog and a cat

- 70 had neither a cat nor a​ dog, and in addition did not have a​

 parakeet

- 4 had a​ cat, a​ dog, and a parakeet (4 is a part of 22 and 22 is a part

 of 67 and 520

* We will explain the Venn-diagram

- A rectangle represent the total of the families

- Three intersected circles:

 C represented the cat

 D represented the dog

 P represented the parakeet

- The common part of the three circle had 4 families

- The common part between the circle of the cat and the circle of the

 dog only had 22 - 4 = 18 families

- The common part between the circle of the dog and the circle of the

 parakeet only had a families

- The common part between the circle of the cat and the circle of the

 parakeet only had b families

- The non-intersected part of the circle of the dog had 67 - 22 - a =

  45 - a families

  had dogs only

- The non-intersected part of the circle of the cat had 52 - 22 - b =  

  30 - b families

  had cats only

- The non-intersected part of the circle of the parakeet had c families

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- The part out side the circles and inside the triangle has 70 families

- Look to the attached graph for more under stand

∵ The total of the families is 180

∴ The sum of all steps above is 180

∴ 45 - a + 18 + 4 + 30 - b + b + c + a + 70 = 180 ⇒ simplify

- (-a) will cancel (a) and (-b) will cancel (b)

∴ (45 + 18 + 4 + 30 + 70) + (-a + a) + (-b + b) + c = 180

∴ 167 + c = 180 ⇒ subtract 167 from both sides

∴ c = 180 - 167 = 13 families

* There are 13 families had a parakeet only

5 0
3 years ago
Find the area of the figure. If needed, round to the nearest tenth.
Umnica [9.8K]

Answer:

18 \:ft^2

Step-by-step explanation:

The area of a trapezoid.

(a+b)h\frac{1}{2}

(8+4)3 \times \frac{1}{2}

(12)3 \times \frac{1}{2}

36 \times \frac{1}{2}

=18

6 0
3 years ago
Select the correct answer.
Kaylis [27]

For this case we have that by definition, the volume of a rectangular prism is given by:

V = A_ {b} * h

Where:

A_ {b}:It is the area of the base of the prism

h: It is the height

A_ {b} = w * l

Where:

w: is the width

l: is the length

According to the data of the statement we have:

w = 16 \ in\\l = 4h\\V = 4,096 \ in ^ 3

Substituting the data we have:

A_ {b} = 16 * 4h = 64h\\64h * h = 4,096\\64h ^ 2 = 4,096\\h ^ 2 = \frac {4096} {64}\\h ^ 2 = 64\\h = \pm \sqrt {64}\\

We choose the positive value: h = 8

So the height is8 \ in

Answer:

8 \ in

6 0
3 years ago
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scZoUnD [109]

Answer:

It is an arithmetic sequence and the common difference is 5

Step-by-step explanation:

4+5 = 9; 9+5=14 (adding is arithmetic, multiplying is geometric)

7 0
2 years ago
Read 2 more answers
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Soloha48 [4]
23:8 is the simplest form. However, you can put 5.75:2 or even 2.86/1 if you are looking for the absolute simplest
3 0
3 years ago
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