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s344n2d4d5 [400]
3 years ago
15

Someone help me understand

Mathematics
1 answer:
likoan [24]3 years ago
7 0

Answer:

f¯¹(x) = 23/ (6x + 3)

Step-by-step explanation:

f(x) = (23 – 3x)/6x

The inverse, f¯¹, for the above function can be obtained as follow:

f(x) = (23 – 3x)/6x

Let y be equal to f(x)

Therefore, f(x) = (23 – 3x)/6x will be written as:

y = (23 – 3x)/6x

Next, interchange x and y.

This is illustrated below:

y = (23 – 3x)/6x

x = (23 – 3y)/6y

Next, make y the subject of the above expression. This is illustrated below:

x = (23 – 3y)/6y

Cross multiply

6xy = 23 – 3y

Collect like terms

6xy + 3y = 23

Factorise

y(6x + 3) = 23

Divide both side by (6x + 3)

y = 23/ (6x + 3)

Finally, replace y with f¯¹(x)

y = 23/ (6x + 3)

f¯¹(x) = 23/ (6x + 3)

Therefore, the inverse, f¯¹, for the function f(x) = (23 – 3x)/6x is

f¯¹(x) = 23/ (6x + 3)

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Oksana_A [137]

Answer:

No, because the shape or figure is not overlapping.

Step-by-step explanation:

A tessellation of the plane is an arrangement of polygons which cover the plane without gaps or overlapping.

8 0
2 years ago
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Will give brainliest to correct answer.
Kobotan [32]
Note that c is the hypotenuse of the blue triangle, and that the Pyth. Thm. states that (length of one leg)^2 + (length of the other leg)^2 = (hyp)^2.

Therefore, (hyp)^2 = c^2 = [2sqrt(x^2+3x)]^2 + 3^2, or
                                        = 4(x^2+3x) + 9, or
                                        = 4x^2 + 12x + 9  = (2x+3)^2
Taking the sqrt of both sides, c = plus or minus (2x+3).  Eliminate -(2x+3) because the middle term of the square of this would be negative, in conflict with the given +12x.

c=2x+3 is the correct answer.

8 0
4 years ago
Help me fast!!!!!! I am in school and i need to finish this
Minchanka [31]

Answer:

10/7

Step-by-step explanation:

100/70=slope

divide by 5

20/14

10/7

7 0
3 years ago
Can some one pls help
solniwko [45]

Answer:

\frac{AC}{DF} = \frac{5}{2}

Step-by-step explanation:

Scalene triangle are the triangle with no side are equal in length also each angle have different measure.

As given there are two scalene triangle, which are similar.

∴ Side of both the triangle will be propotionally equal.

Scale is given for both the triangle, which is 5:2.

We know, scale factor= ratio of the side.

Looking the option provided, we see \frac{AC}{DF} = \frac{5}{2}

As the sides of both the triangle is propotionally equal

Hence, \frac{AC}{DF} = \frac{5}{2}.

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3 years ago
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Damm [24]
Its 1/3 thats the answer
5 0
3 years ago
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