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1 answer:

soldier1979 [14.2K]4 years ago

5 0

If f(x) is given with points (0,5) and (4,3), it can be easily plotted in a coordinate system (see .jpeg image in attachment).If g(x) is a function defined by text:

Kyle started the summer having read 3 books but plans to read 6 books per month over the summer.Then, g(x) is given with:

g(x) = 6*x+3 (3 books read already, and 6 books will be read each month).h(x) is already given with:

h(x)=3*x+4

These all three functions are plotted in coordinate system and it can be seen that the lowest y-intercept has function g(x), and it is the value of 3 on y-axis. Others have 4 (h(x)) and 5 (f(x)).

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Solve each system by elimination by multiplying both equations. eliminate y first. show all work.

Alex17521 [72]

First $\mathrm{Multiply\:}10x-3y=18\mathrm{\:by\:}3:\quad 30x-9y=54$
Then $\mathrm{Multiply\:}6x-10y=-22\mathrm{\:by\:}5:\quad 30x-50y=-110$
To get $\begin{bmatrix}30x-9y=54\\ 30x-50y=-110\end{bmatrix}$
So...
$30x-50y=-110 \ \textgreater \ \begin{bmatrix}30x-9y=54\\ -41y=-164\end{bmatrix}$
$-41y=-164 \ \textgreater \ \mathrm{Divide\:both\:sides\:by\:}-41 \ \textgreater \ \frac{-41y}{-41}=\frac{-164}{-41}$
To get y = 4.
$\mathrm{For\:}30x-9y=54\mathrm{\:plug\:in\:} \:y=4 \ \textgreater \ 30x-9\cdot \:4=54$
$\mathrm{Multiply\:the\:numbers:}\:9\cdot \:4=36 \ \textgreater \ 30x-36=54 \ \textgreater \$
Next $\mathrm{Add\:}36\mathrm{\:to\:both\:sides} \ \textgreater \ 30x-36+36=54+36 \ \textgreater \ \mathrm{Simplify} \ \textgreater \ 30x=90$
Finally $\mathrm{Divide\:both\:sides\:by\:}30 \ \textgreater \ \frac{30x}{30}=\frac{90}{30} \ \textgreater \ x = 3$
Therefore our solutions are y = 4, x = 3

8 0

3 years ago

If a company issues 2,500,000 shares with voting rights how many shares must an investor by to be assured control of the company

Aliun [14]

I think for an investor to have control of a company, he/she needs 51% of the voting rights...

51% of 2,500,000 = 0.51(2,500,000) = 1,275,000 <==

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3 years ago

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What is the best estimate for the value of r in the scatter plot?

Wittaler [7]

From the observation of the dispersion graph it is concluded that the answer to this question is option D. r = -0.5.

The correlation coefficient "r" is a measure of the linear relationship between two random variables.

When the correlation is positive, the value of "r" is between 0 and 1. This means that when one variable increases the other too.

When the correlation is negative, the value of "r" is between -1 and 0. This means that one variable decreases as the other increases.

When there is no correlation the value of "r" is 0

In this case, the dispersion chart shows that the variable "y" decreases as the variable "x" increases. Therefore the value of "r" must be negative. Of all the options, the only one that presents a value of negative r is option D:

r = -0.5

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3 years ago

A hiker starts at an elevation of 65 feet and descends 30 feet to the base camp. What is the elevation of the base camp?

Ronch [10]

You just subtract it,

65 - 30= 35

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3 years ago

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Han, his sister, his dad, and his grandmother step onto a crowded bus with only 3 open seats for a 42-minute ride. They decide H

Deffense [45]

Answer: