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2 years ago

Select the correct answer. What is the domain of the function f(x) = 2x + 5?

1 answer:

4 0

The domain of the function is the complete set of possible values of the independent variable. (−∞,∞),{x|x ∈ R}

<h3>What is the domain function?</h3>

The domain is the set of values for which the given function is defined.

The given function;

f(x) = 2x + 5

The domain of the given function is all real numbers except where the function is undefined.

In this case, there is no real number that makes the function undefined.

The domain of the function is the complete set of possible values of the independent variable.

(−∞,∞),{x|x ∈ R}

The range is the set of all valid y values.

Learn more about appropriate domain here:

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Dayand picked apples 42 hours sleep at 28 apples in the first hour and at the end of 2 hours she had 49 how many apples did she

SCORPION-xisa [38]

Subtract 28 from 49 which is 21 picked in the second hour

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3 years ago

A spherical balloon is inflating with helium at a rate of 6464piπ StartFraction ft cubed Over min EndFraction ft3 min. How fast

Dmitrij [34]

Answer:

the surface area will increase 16 feet per minute

Step-by-step explanation:

Allow me to revise your question for a better understanding.

<em>A spherical balloon is inflating with helium at a rate of 64π Start Fraction ft cubed Over min End Fraction ft3 min. How fast is the balloon's radius increasing at the instant the radius is 2 ft? How fast is the surface area increasing? </em>

My answer:

Given that:

$\dfrac{dV}{dt} = 64\pi \dfrac{\text{ ft}^3}{\text{min}}$ (1)

As we know that, the volume of a spherical balloon can be calculated by using the following formula:

$V = \dfrac{4}{3}\pi r^3$ where r is the radius

Substitute V into (1), we have:

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

In this situation, the instant radius is: 2f

So we have:

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

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

The the surface area has the formula as:

SA1 = 4π $r^{2}$

If the radius of the balloon is increasing at a rate of 4 feet per minute, so the

the surface area will increase 16 feet per minute because:

SA2 : 4π $(4r)^{2}$ = 16 (4π $r^{2}$ ) = 16 SA1

Hope it will find you well.

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4 years ago

when building a house, the number of days required to build is inversely proportional to with the number of workers. One house w

shusha [124]

Use inverse proportion ratio: xy=k

(124)(7)=k
k=868 (this is our constant)

now substitute the constant into the inverse proportion ratio knowing the number of workers

28x=868

solve for x by dividing both sides by 28 to find the time it takes to build the house

x=31 days

so it will take 31 days for 28 workers to build the house

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Step-by-step explanation:

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Answer:

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