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4 years ago

Combine the like terms to create an equivalent expression.

Mathematics

1 answer:

iragen [17]4 years ago

4 0

4r+14-r-6
Combine like terms
4r and -r are like terms and 14 and -6 are like terms.
(4r-r)+(14-6)
3r+8
Hope I helped!

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3 years ago

The sales decay for a product is given by S = 70000e^ -0.8x where S is the monthly sales and x is the number of months that have

Gre4nikov [31]

Answer:

After 5.31 months sales will drop below 1000 and 5 months after the end of the campaign sales will be 1282.09

Step-by-step explanation:

Let's find the solutions for the two questions.

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Because the problem asks for how many months, and since 'x' represents month variable, then the problem is asking for 'x'.

Using the same equation for sales we can observe the following:

$S=70000*e^{-0.8X}$ , but we have S which is 1000, so:

$1000=70000*e^{-0.8X}$ which is equal to:

$1000/70000=e^{-0.8X}$ which is equal to:

$1/70=e^{-0.8X}$ by applying ln(x) properties:

$ln(1/70)=ln(e^{-0.8X})$ which is equal to:

$ln(1/70)=-0.8X$ which is equal to:

$ln(1/70)/(-0.8)=X$ so:

$X=5.31 months$

Second question: what will be the sales 5 months after the end of the campaign.

Because the problem asks for what will be the sales, and since 'S' represents the sales, then the problem is asking for 'S'.

Using the same equation for sales we can observe the following:

$S=70000*e^{-0.8X}$ , but we have x which is 5 months, so:

$S=70000*e^{-0.8*5}$ which is equal to

$S=1282.09$

In conclusion, after 5.31 months sales will drop below 1000 and 5 months after the end of the campaign sales will be 1282.09.

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4 years ago