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Ira Lisetskai [31]
3 years ago
8

Expand to write an equivalent expression -1/2 (-6x+8y) (Pleasee help i need an answer rqqqq)

Mathematics
1 answer:
Alik [6]3 years ago
6 0

Answer:

-  \frac{1}{2} ( - 6x + 8y) \\  =  \frac{1}{2} (6x - 8y) \\  = 3x - 4y

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The rate of change in sales for Garmin from 2008 through 2013 can be modeled by
Zina [86]

Answer:

a) The model for the sales of Garmin is represented by S(t) = -\frac{81}{2500}\cdot t^{3} + \frac{267}{250}\cdot t^{2} - 11.9\cdot t + 47.112.

b) The average sales of Garmin from 2008 through 2013 were $ 2.5 billion.

Step-by-step explanation:

a) The model for the sales of Garmin is obtained by integration:

S(t) = -0.0972\int {t^{2}} \, dt + 2.136\int {t}\,dt -11.9 \int\,dt

S(t) = -\frac{81}{2500}\cdot t^{3} + \frac{267}{250}\cdot t^{2} - 11.9\cdot t + C (1)

Where C is the integration constant.

If we know that t = 9 and S(t) = 2.9, then the model for the sales of Garmin is:

-\frac{81}{2500} \cdot 9^{3} + \frac{267}{250}\cdot 9^{2}-11.9\cdot (9) + C = 2.9

C = 47.112

The model for the sales of Garmin is represented by S(t) = -\frac{81}{2500}\cdot t^{3} + \frac{267}{250}\cdot t^{2} - 11.9\cdot t + 47.112.

b) The average sales of the Garmin from 2008 through 2013 (\bar{S}) is determined by the integral form of the definition of average, this is:

\bar{S} = \frac{1}{13 - 8} \cdot \int\limits^{13}_{8} {S(t)} \, dt (2)

\bar S = \frac{1}{5}\cdot \int\limits^{13}_{8} {\left[-\frac{81}{2500}\cdot t^{3} + \frac{267}{250}\cdot t^{2}-11.9\cdot t + 47.112  \right]} \, dt

\bar S = \frac{1}{5}\cdot \left[-\frac{81}{10000}\cdot (13^{4}-8^{4}) +\frac{89}{250}\cdot (13^{3}-8^{3}) -\frac{119}{20}\cdot (13^{2}-8^{2}) +47.112\cdot (13-8)   \right]\bar{S} = \frac{1}{5}\cdot (-198.167+599.86-624.75+235.56)

\bar{S} = 2.5

The average sales of Garmin from 2008 through 2013 were $ 2.5 billion.

7 0
3 years ago
What is 222222+78887797
Lostsunrise [7]
Your answer will be 79110019. Hope this helps!
4 0
4 years ago
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The mean and the standard deviation of a normal
Nostrana [21]

Answer: Parameters statistics two

Step-by-step explanation:

7 0
3 years ago
The price of a stock decreased by $20\%$ in 2001, and then decreased by $20\%$ in 2002. What percent increase in 2003 will resto
Whitepunk [10]
2001—80/100 x
2002— 64/100 x
now we need to get x from 64/100 x
5 0
3 years ago
Show your work please, i really wanna understand.
Vedmedyk [2.9K]

Answer:

27 candies are chocolate

Step-by-step explanation:

For question 25

you have 90 candies 30% = 0.30 which equals 0.3

then you multiply 90 * 0.3 and you get 27

5 0
3 years ago
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