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3 years ago

Given f (x) = 4x - 3,g(2) = x3 + 2x Find (f - g) (4)

Mathematics

1 answer:

Ira Lisetskai [31]3 years ago

5 0

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A 24-ounces box of cornflakes cost 3.12 what is the unit rate

Bond [772]

Answer:

.13 dollars/ ounce

Step-by-step explanation:

Take the prices and divide by the number of ounces

3.12 dollars/ 24 ounces

.13 dollars/ ounce

6 0

3 years ago

Read 2 more answers

HELP ASAP PLEASE!!!!!!

NemiM [27]

Answer:

Step-by-step explanation:

In a function, every x-coordinate must be a different number.

If the same number appears more than once as an x-coordinate, it is not a function.

Answer: B

6 0

3 years ago

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

Jackie kessel has found a home she would like to purchase. The seller accepts her offer of 210900. Jackie will make a down payme

raketka [301]

210900 × 0.15 = 31635
210900 - 31635 = 179265
179265 is the mortgage loan

3 0

3 years ago

If AC is 23 meters and<br> Bis the midpoint of AC,<br> how long is BC?

Kitty [74]

Answer:

11.5 meters

Step-by-step explanation:

If B is midpoint of AC, then BC is half of AC.

BC= AC/2

=23/2

=11.5 meters

4 0

3 years ago