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3 years ago

У = х — 22 Perpendicular?

Mathematics

1 answer:

Romashka-Z-Leto [24]3 years ago

7 0

Answer:

i got y=-x

Step-by-step explanation:

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Given xy = 4 and x2 + y2 = a, which expression is equal to (x + y)2?<br> a + 6<br> a + 8<br> a + 4

likoan [24]

Answer:

a + 8

Step-by-step explanation:

Note that

(x + y)² = x² + 2xy + y²

= x² + y² + 2xy

= a + 2(4) = a + 8

6 0

3 years ago

Give an example of both rational and an irrational number that falls between 24 and 25

levacccp [35]

Both 24 and 25 are rational. They can be turned into a fraction by putting a 1 as the denominator.

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

Is y=6x-3 a function

KonstantinChe [14]

Yes it is

Step-by-step explanation:

it is a linear function as it is written in the standard form Y=MX+C

6 0

2 years ago

Read 2 more answers

One rule of thumb for estimating crowds is that each person occupies 2.5 square feet. Use this

krok68 [10]

Answer: it is a

Step-by-step explanation:

4 0

3 years ago