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2 years ago

Find the inverse of the following function f(x)= x+18

Mathematics

1 answer:

klasskru [66]2 years ago

6 0

Answer:

f^-1(x) = x - 18

Step-by-step explanation:

y = x + 18

x = y + 18

x - 18 = y

f^-1(x) = x - 18

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2 years ago

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write an equation that is perpendicular to x - 3y =3 and passes through the point (5,-9) in slope-intercept form.

Aleksandr [31]

9514 1404 393

Answer:

y = -3x +6

Step-by-step explanation:

The perpendicular line will have the coefficients of x and y swapped (and one of them negated), and will have a constant appropriate to the point the line needs to go through.

The equation will look like ...

x -3y = 3 . . . . . . . . . . . . . given line

3x +y = constant . . . . . . perpendicular line

where "constant" can be found by substituting for x and y.

3x +y = 3(5) +(-9)

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To put this in slope-intercept form subtract 3x:

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3 years ago

A water tank has a square base of area 5 square meters. Initially the tank contains 70 cubic meters. Water leaves the tank, star

ANEK [815]

Answer:

$9.2\ \text{m}$

Step-by-step explanation:

$b$ = Surface area of base = 5 square meters

Volume of water in tank = 70 cubic meters

The rate at which the volume is reducing is

$\dfrac{dV}{dt}=2+4t\\\Rightarrow dV=2+4tdt$

Integrating from $t=0$ to $t=3$

$V=\int^3_0(2+4t)dt\\\Rightarrow V=2t+2t^2|_0^3\\\Rightarrow V=2\times 3+2\times 3^2-0\\\Rightarrow V=24$

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Suface area of base $\times$ depth = Volume

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The depth of the water remaining in the tank is $9.2\ \text{m}$ .

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3 years ago

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Answer

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2 years ago

A worker at a landscape design center uses a machine to fill bags with potting soil. Assume that the quantity put in each bag fo

ddd [48]

Answer:

Mean = 15.15

Standard deviation = 0.6062

Step-by-step explanation:

We are given a uniform distribution of quantity to be put in each bag.

Low and high filling weights:

14.1 pounds and 16.2 pounds

a = 14.1

b = 16.2

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3 years ago