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Nookie1986 [14]
3 years ago
6

Given the function f(x) = The quantity of 5x minus 3, divided by 4, which of the below expressions is correct?

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
8 0

Answer:

B. f−1(x) = The quantity of 4x plus 3, divided by 5

Step-by-step explanation:

Given

f(x) = \frac{5x-3}{4}

We have to find the inverse of the function

Let\\f(x) = y\\y=\frac{5x-3}{4}\\4y=5x-3\\4y+3=5x\\\frac{4y+3}{5} =y

So, the inverse of f(x) is:

\frac{4y+3}{5}

Hence,

The correct answer is:

<u>B. f−1(x) = The quantity of 4x plus 3, divided by 5 ..</u>

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The total number of people in the family that generates 20 loads of laundry in a week is 10.

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An equation is an expression that shows the relationship between two or more numbers and variables.

Let y represent the number of people and x represent the number of laundry loads.

From the table:

y = (1/2)x

For 20 loads:

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5 0
1 year ago
Scratchpad
olga nikolaevna [1]

Answer:

50 % probability that the hat is blue.

Step-by-step explanation:

3 blue and 3 black = 6 total tickets

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3 years ago
A spherical balloon is inflating with helium at a rate of 64 pi StartFraction ft cubed Over min EndFraction . How fast is the​ b
olga2289 [7]

Answer:

The radius of the balloon is increasing at a rate of 4 feet per minute.

Step-by-step explanation:

We are given the following in the question:

\dfrac{dV}{dt} = 64\pi \dfrac{\text{ ft}^3}{\text{min}}

Volume of sphere is given by

V = \dfrac{4}{3}\pi r^3

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Rate of change of volume =

\dfrac{dV}{dt} = \dfrac{d}{dt}(\dfrac{4}{3}\pi r^3)\\\\\dfrac{dV}{dt} =4\pi r^2\dfrac{dr}{dt}

Putting values, we get,

64\pi = 4\pi (2)^2\dfrac{dr}{dt}\\\\\Rightarrow \dfrac{dr}{dt} = 4

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3 years ago
Find the value of x.
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