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2 years ago

Lourenço analyzed prices of laptop

1 answer:

4 0

The price y is a function of x, the speed of the processor.

In function notation this means, y=f(x), where f(x)=<span>101x + 207.85.
</span>
For example to calculate the (approximate) price of a laptop with processor 4 gigahertz, we let x=4, and plug in f.

That is the price y for x=4 is calculated by y=f(4).

So, since y=f(x)=<span>101x + 207.85, the (expected) price of a laptop with processor speed 2.5 gigahertz is :

y=f(2.5)=101(2.5)+207.85= 460.35 ($)

Answer:

</span>C. $460

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John is going on a trip and the country he is traveling to uses the Celsius scale. He is curious about converting Celsius temper

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Answer:

$f(x)=\dfrac{9}{5}x+32$ converts Celsius to Fahrenheit.

$g(x)=\dfrac{5(x-32)}{9}$ converts Fahrenheit to Celsius.

Step-by-step explanation:

Write given data in the table

$\begin{array}{cc}x&f(x)\\^{\circ}\text{C}&^{\circ}\text{F}\\20&68\\30&86\end{array}$

Let the expression for the function be

$f(x)=ax+b$

Note, that this equation is linear equation and it is well-known fact that the Celsius to Fahrenheit dependence is linear.

Substitute corresponding values into this expression:

$68=20a+b\\ \\86=30a+b$

Subtract these two equations:

$86-68=30a-20a\\ \\10a=18\\ \\a=\dfrac{9}{5}$

Substitute it into the first equation:

$68=20\cdot \dfrac{9}{5}+b\Rightarrow b=68-36=32$

So,

$f(x)=\dfrac{9}{5}x+32$

This is the function which converts Celsius to Fahrenheit.

And function

$g(x)=\dfrac{5(x-32)}{9}$ converts Fahrenheit to Celsius.

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2 years ago

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3(-4x + 8)=.................

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-144 or 2 5

Step-by-step explanation:

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Roni recently bought a car for $18,000. Her research shows the car will depreciate by an average of $1,500 per year. If x repres

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Answer:

D is the answer

Step-by-step explanation:

If every year the value decreases by $1,500 that variable will change, but the price he bought the car at will not. That is why the x variable(standing for years) would go into the 1,500. And if each year the value decreases the answer would be D

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3 years ago

Isabel's car gets 33.5 miles per gallon. Her gas tank holds 15.1 gallons of gas. How many miles can Isabel drive on a full tank

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It will be 505.85.

Because 33.5 × 15.1 is 505.85.

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