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3 years ago

Graph the following piecewise function and then find the range.. help please!!!

Mathematics

1 answer:

kipiarov [429]3 years ago

6 0

Parabola : @x =-4,6 make an empty bubble
Line : fill in bubble @x=6, empty bubble @x=9

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A small town's population, P, can be modeled by the equation P (t) = 45,000(2.66), where t is the time in years. Is the statemen

ICE Princess25 [194]

A function assigns the values. The statement "The rate of population growth each year is 166%" is true.

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

Given the function of the population for the town is $P (t) = 45,000(2.66)^t$ , where t is the time in years. Comparing the given function to the general function of the population,

P(x) = a(1+b)ˣ

Then, the value of b will be 166%.

Hence, the statement "The rate of population growth each year is 166%" is true.

Learn more about Function:

brainly.com/question/5245372

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3 0

2 years ago

Cindy spends $85 a month on her cell phone plan. She has saved $1,105 to pay her phone bill. How many months will Cindy be able

eduard

Answer:

13 months

Step-by-step explanation:

1105 divided by 85 is 13

4 0

3 years ago

Consider the initial value problem y′′+36y=2cos(6t),y(0)=0,y′(0)=0. y″+36y=2cos⁡(6t),y(0)=0,y′(0)=0. Take the Laplace transform

Bingel [31]

Recall the Laplace transform of a second-order derivative,

$L(y''(t)) = s^2Y(s)-sy(0)-y'(0)$

and the transform of cosine,

$L(\cos(at))=\dfrac s{a^2+s^2}$

Here, both $y(0)=y'(0)=0$ , so taking the transform of both sides of

$y''(t)+36y(t)=2\cos(6t)$

gives

$s^2Y(s)+36Y(s)=\dfrac{2s}{36+s^2}$

$\implies Y(s)=\dfrac{2s}{(s^2+36)^2}$

4 0

3 years ago

In one afternoon's shopping Seedevi spent half as much money as Georgia, but $6 more than Amy. If the three of them spent a tota

joja [24]

The amount spent by Seedevi is $66

<h3>How to determine the amount spent by Seedevi?</h3>

From the question, the given parameters are:

Seedevi = half as much money as Georgia,

Seedevi = $6 more than Amy

The three of them = $258

To solve this question, we use the following representations

x = Seedevi

y = Georgia

z = Amy

So, we have the following equations

x = 0.5y

x = 6 + z

x + y + z = 258

Make y and z the subjects

y = 2x

z = x - 6

Substitute y = 2x and z = x - 6 in x + y + z = 258

x + 2x + x - 6 = 258

Evaluate the like terms

4x = 264

Divide by 4

x = 66

Hence, the amount spent by Seedevi is $66