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Georgia [21]
3 years ago
13

What is the equation for each line?​

Mathematics
1 answer:
galina1969 [7]3 years ago
8 0
Red: y= 2x
Black: y= 2x
Yellow: y= -3x
Green: zero slope
Blue: undefined slope
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Step-by-step explanation:

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2 years ago
The total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.03t3 + 0.5t2 + 9t + 4. Find S'(t).
mars1129 [50]

Answer:

S(2) = 24.24. This means that in the second month, the company will sell 24.24 millions of dollars in total.

S'(2) = 11.36. This means that in the second month the total sales will increase in 11.36 millions of dollars from the previous month.

d. The total sales 11 months from now will be $203.43 million dollars.

Step-by-step explanation:

The total sales of the company, in millions of dollars is given by the following formula:

S(t) = 0.03t^{3} + 0.5t^{2} + 9t + 4

This function has the following derivative, which represents the variation in relation to the previous month.

S'(t) = 0.09t^{2} + t + 9

Find S(2) and S'(2)

S(t) = 0.03t^{3} + 0.5t^{2} + 9t + 4

S(2) = 0.03*(2)^{3} + 0.5*(2)^{2} + 9*2 + 4 = 24.24

S(2) = 24.24. This means that in the second month, the company will sell 24.24 millions of dollars in total.

S'(t) = 0.09t^{2} + t + 9

S'(2) = 0.09*2^{2} + 2 + 9 = 11.36

S'(2) = 11.36. This means that in the second month the total sales will increase in 11.36 millions of dollars from the previous month.

Choose the correct interpretation of S(11)=203.43.

S represents total sales, and S(11) is the total sales 11 months from now.

So the correct answer is:

d. The total sales 11 months from now will be $203.43 million dollars.

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<em>Greetings from Brasil...</em>

Be that unknown number X

Then we can write the following expression:

X + 4.7 = 8.1

<h2>X = 3.4</h2>

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3 years ago
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