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Andrew [12]
4 years ago
11

Michonne's Phone service charges $18.09 for an activation fee plus $2 for every gigabyte(g) used. Which of the following graphs

models the situation?

Mathematics
1 answer:
ExtremeBDS [4]4 years ago
5 0

Given

Michonne's Phone service charges $18.09 for an activation fee plus $2 for every gigabyte(g) used

Show the graph model for the above sitution.

To proof

As  given in the question

Michonne's Phone service charges = $18.09

activation fee plus  for every gigabyte(g) used = $2

let the gigabyte used be = x

let the total charges of phone = y

Than the equation become in the form

18.09 + 2x =y

the graph is shown as below.

Hence proved

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The area is 25π

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3 years ago
Which expression is a cube root of -1+i√3?
Tpy6a [65]

Answer:

<em>The correct option is C.</em>

Step-by-step explanation:

<u>Root Of Complex Numbers</u>

If a complex number is expressed in polar form as

Z=(r,\theta)

Then the cubic roots of Z are

\displaystyle Z_1=\left(\sqrt[3]{r},\frac{\theta}{3}\right)

\displaystyle Z_2=\left(\sqrt[3]{r},\frac{\theta}{3}+120^o\right)

\displaystyle Z_3=\left(\sqrt[3]{r},\frac{\theta}{3}+240^o\right)

We are given the complex number in rectangular components

Z=-1+i\sqrt{3}

Converting to polar form

r=\sqrt{(-1)^2+(\sqrt{3})^2}=2

\displaystyle tan\theta=\frac{\sqrt{3}}{-1}=-\sqrt{3}

It's located in the second quadrant, so

\theta=120^o

The number if polar form is

Z=(2,120^o)

Its cubic roots are

\displaystyle Z_1=\left(\sqrt[3]{2},\frac{120^o}{3}\right)=\left(\sqrt[3]{2},40^o\right)

\displaystyle Z_2=\left(\sqrt[3]{2},40^o+120^o\right)=\left(\sqrt[3]{2},160^o\right)

\displaystyle Z_3=\left(\sqrt[3]{2},40^o+240^o\right)=\left(\sqrt[3]{2},280^o\right)

Converting the first solution to rectangular coordinates

z_1=\sqrt[3]{2}(\ cos40^o+i\ sin40^o)

The correct option is C.

8 0
3 years ago
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puteri [66]

Answer:

x^{36}-x^{16} is already at its simplest form

Step-by-step explanation:

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8 0
3 years ago
Points X, Y, and Z are colinear.<br> X<br> What is the slope of YZ in simplest form?
DIA [1.3K]

Based on the calculations, the slope of line YZ in simplest form is equal to 2.

<h3>How to determine the slope of YZ?</h3>

Mathematically, the slope of a straight line can be calculated by using this formula;

Slope, m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope, m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}

Since points X, Y, and Z are collinear, we can deduce that the line passes through line Z at 6 units form the origin and 3 units for Y from the origin.

Substituting the parameters into the formula, we have;

Slope, m = \frac{6\;-\;0}{3\;-\;0}

Slope, m = 6/3

Slope, m = 2.

Read more on slope here: brainly.com/question/17601248

#SPJ1

6 0
2 years ago
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