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3 years ago

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Mathematics

2 answers:

svet-max [94.6K]3 years ago

8 0

Let the function be represented by f(x).

Multiplying the number x by 4 results in 4x. Subtracting 2 from results give 4x - 2. So the function becomes:

f(x) = 4x - 2

Finding the inverse function:

Replace f(x) by y, and isolate x on one side of the equation and find the inverse:

$y = 4x - 2\\\\ y + 2 = 4x\\\\ x = \frac{1}{4}(y + 2)\\ \\ f^{-1}(y)=\frac{1}{4}(y + 2)\\ \\ f^{-1}(x)=\frac{1}{4}(x + 2)$

Yes the inverse function represents the reverse process. Original function involved multiplication by 4 and then subtraction of 2. Inverse function involves addition of 2 and then division by 4. So the inverse represents the reverse of the given process.

PSYCHO15rus [73]3 years ago

4 0

Answer:

Let the function be represented by f(x).

Multiplying the number x by 4 results in 4x. Subtracting 2 from results give 4x - 2. So the function becomes:

f(x) = 4x - 2

Step-by-step explanation:

Replace f(x) by y, and isolate x on one side of the equation and find the inverse

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Find midpoint (-6, 3) (4,-3)

Crank

<h2>Coordinate of mid point = (1,0)</h2>

Step-by-step explanation:

Given points are (-6,3) and (4,-3)

$x_1=-6 ,$ $y_1=3$ , $x_2= 4$ and $y_2 = -3$

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$=(\frac{-6+4}{2} ,\frac{3+(-3)}{2})$

=(1,0)

5 0

3 years ago

Initially, there were equal amount of roses and tulips at a store. Each bouquet was made with 3 roses and 4 tulips. After the bo

egoroff_w [7]

Answer:

12 bouquets

Step-by-step explanation:

Let there be x number of roses and x number of tulips initially at the store. Each bouquet was made with 3 roses and 4 tulips. Assume that y bouquets were made in total.

If each bouquet was made with 3 roses and 4 tulips, then y bouquets will be made with 3y roses and 4y tulips.

After the bouquets were all made, there were 30 roses and 18 tulips left in the store. This means, if we subtract number of roses that were used in bouquets from total number of roses, the result must be 30. Likewise, for tulips the result would be 18. This can be represented as:

x - 3y = 30 Equation 1

x - 4y = 18 Equation 2

Subtracting Equation 2 from Equation 1, we get:

x - 3y - (x - 4y) = 30 - 18

x - 3y - x + 4y = 12

y = 12

Since y represents the number of bouquets made, we can conclude that 12 bouquets were made in the store.

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3 years ago

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MrRissso [65]

Answer:

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3 years ago

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Answer:

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago