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2 years ago

20 POINTS!!! PLEASE HELP

Mathematics

1 answer:

pogonyaev2 years ago

7 0

The logarithm of 10 to base 10 is 1

<h3>How to determine the logarithm?</h3>

The given parameters are:

Base = 10
Number = 10

So, the logarithm expression can be represented as:

$\log_{10}10$

The law of logarithm states that:

$\log_{x}x = 1$

The above means that;

When the base and the number are the same, the logarithm is 1

So, we have:

$\log_{10}10 = 1$

Hence, the logarithmic value is 1

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3 years ago

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3 years ago

A company manufactures and sells video games. A survey of video game stores indicated that at a price of $66 each, the demand wo

AysviL [449]

Answer:

$y=-30x+2380$

Step-by-step explanation:

$x\rightarrow$ represent price per video game.

$y\rightarrow$ represent demand.

The linear equation in slope intercept form can be represented as:

$y=mx+b$

where $m$ is slope of line or rate of change of demand of game per dollar change in price and $b$ is the y-intercept or initial price of game.

We can construct two points using the data given.

When price was $66 each demand was 400. $(66,400)$

When price was $36 each demand was 1300. $(36,1300)$

Using the points we can find slope $m$ of line.

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{1300-400}{36-66)}$

$m=\frac{900}{-30}$

$m=-30$

Using point slope form of linear equation to write the equation using a given point.

$y-y_1=m(x-x_1)$

Using point $(66,400)$ .

$y-400=-30(x-66)$

⇒ $y-400=-30x+1980$ [Using distribution]

Adding 400 to both sides:

⇒ $y-400+400=-30x+1980+400$

⇒ $y=-30x+2380$

The linear relationship between price and demand can be written as:

$y=-30x+2380$

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3 years ago