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2 years ago

The population of center city is modeled by exponential function

Mathematics

1 answer:

Artemon [7]2 years ago

5 0

The range of the exponential function will be y ≥ 250,0003. Then the correct option is B.

<h3>What are domain and range?</h3>

The domain means all the possible values of x and the range means all the possible values of y.

The Population Of Center City Is Modeled By Exponential Function F, Where X Is The Number Of Years After The Year 2015.

The graph is given below.

We know that the exponential function is given as

y = abˣ

For x = 0, y will be 250,000

250,000 = a

For x = 40, y will be 400,000

400,000 = 250,000b⁴⁰

b = 1.0118

Then we have

y = 250,000 (1.0118)ˣ

Then the range of the exponential function will be y ≥ 250,0003.

More about the domain and range link is given below.

brainly.com/question/12208715

#SPJ4

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Write -3/4x-6 in standard form using integers

taurus [48]

Answer:

$3x+4y=-24$

Therefore, option C is correct.

Step-by-step explanation:

We have been given the equation:

$y=\frac{-3x}{4}-6[/$

We will take LCM 4 on right hand side of the above equation:

$y=\frac{-3x-24}{4}$

Now, we will multiply the 4 in denominator on right hand side to the y in left hand side pof the equation we get:

$4y=-3x-24$

After rearranging the terms we get:

$3x+4y=-24$

Therefore, option C is correct.

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3 years ago

Mrs.Wang is 23 years older than her daughter. In 5 years, their ages will total 63. How old are they now

Katena32 [7]

Mrs. Wang is 55 years old and her daughter is 18 years old.

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3 years ago

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The Junior Beta club needs to raise $1513.75 to go to a national convention. If they decided to sell candy bars at $1.25 each, h

rusak2 [61]

Answer:

1,211 candy bars.

Step-by-step explanation:

You divide the goal by how much the bars are selling for, or 1513.75/1.25. The answer to this is 1,211 candy bars.

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3 years ago

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What is the value of g(2)?

Svetlanka [38]

Answer:

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3 years ago

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Determine the domain of the function (fog)(x) where f(x)=3x-1/x-4 and g(x)=x+1/x

Katarina [22]

Answer: (-∞,-1) ∪ (0,+∞)

Step-by-step explanation: The representation fog(x) is a representation of composite function, meaning one depends on the other.

In this case, fog(x) means:

fog(x) = f(g(x))

fog(x) = $3(x+\frac{1}{x} )-\frac{1}{x+\frac{1}{x} } -4$

$fog(x)=3x+\frac{3}{x} -\frac{1}{\frac{x^{2}+x}{x} } -4$

$fog(x)=3x+\frac{3}{x} -\frac{x}{x^{2}+x} -4$

$fog(x)=\frac{3x^{2}(x^{2}+x)+3(x^{2}+x)-x-4x(x^{2}+x)}{x(x^{2}+x)}$

$fog(x)=\frac{3x^{4}+3x^{3}+3x^{2}+3x-x-4x^{3}+4x^{2}}{x(x^{2}+x)}$

$fog(x)=\frac{3x^{4}-x^{3}-x^{2}+2x}{x(x^{2}+x)}$

This is the function fog(x).

The domain of a function is all the values the independent variable can assume.

For fog(x), denominator can be zero, so:

$x(x^{2}+x) \neq 0$

If x = 0, the function doesn't exist.

$x^{2}+x \neq0$

$x(x+1) \neq0$

$x+1\neq0$

$x\neq-1$

<u>Therefore, the domain of this function is: </u><u>-∞ < -1 or x > 0</u>

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3 years ago