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nignag [31]
3 years ago
9

The number of Xbox ones sold since 2013 at Bargain Buy electronic store can be modeled by the function N(t) = 5t + 9 and the pri

ce per system can be modeled by P(t) = 2t2- 3t + 6, where t is the number of years since 2013. Write a function that models the revenue generated by the sales of the xbox one gaming system.
R(x) = ____+____+_____+_____
Mathematics
1 answer:
lara [203]3 years ago
7 0

Answer:

R(t)=10t^3+3t^2+3t+54

Step-by-step explanation:

The Number Sold since 2013, N(t) = 5t + 9

Price per system, P(t) = 2t^2- 3t + 6

Revenue = Number of System Sold X Price per system

=N(t)XP(t))

= (5t + 9)(2t^2- 3t + 6)\\$Distribute\\=5t(2t^2- 3t + 6)+ 9(2t^2- 3t + 6)\\=10t^3-15t^2+30t+18t^2-27t+54\\=10t^3-15t^2+18t^2+30t-27t+54\\R(x)=10t^3+3t^2+3t+54

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How to reduce improper fraction 37/30
Lapatulllka [165]
37/30 as an improper fraction can be reduced to a mixed number. 37/30= 1 with a remainder of 7.

37/30= 1 7/30

However, 37 is a prime number, so 37/30 is a simplified the improper fraction can go.

37/30=37/30
8 0
3 years ago
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The quadratic model f(x)=-5x^2 +200 represents the approximate height, in meters, of a ball x seconds after being dropped. The b
mel-nik [20]

Answer:

Third option: 5.48

Step-by-step explanation:

Given the quadratic  model that represents the approximate height in meters of the ball f(x)=-5x^2 +200. the time in seconds x, when the ball is 50 meters from the ground can be calculated by substituting f(x)=50 and solving for x.

Then:

50=-5x^2 +200

Subtract 200 from both sides:

-200+50=-5x^2 +200-200\\-150=-5x^2

Divide both sides by -5:

\frac{-150}{-5}=\frac{-5x^2}{-5}\\30=x^2

Apply square root to both sides:

\sqrt{30}=\sqrt{x^2}\\\sqrt{30}=x\\5.48=x

The ball is 50 meters from the ground after about 5.48 seconds.

3 0
3 years ago
Physics aka Physics
Triss [41]

Answer:

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4 0
3 years ago
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3x+2y=6 and y=-3/2x+5
love history [14]
In order to solve for parallel, perpendicular, or neither, you have to look at the slope.

If the slope is the same for both equations, it is most likely parallel.
If it's the reciprocal (Where you flip the number and add change the signs. For example, the reciprocal of 1/2 is -2)
If the slope is not the same or the reciprocal, then it is neither. 

So for the first equation, your slope is:
3x+2y=6
2y=-3x+6
y=-3/2x+3      The equation y=mx+b can help you here, where m is the slope.
Your slope is -3/2

For the second equation, your slope is -3/2 since y=-3/2x+5 is already in y=mx+b form and m is the slope.

Since both slopes are -3/2, then you have parallel equations!

(Be careful though, sometimes it will have the same slope but there will also be the same y-intercept. If that happens, it's no longer parallel, but it's the same equation. Such as y=-3/2x+1 and y=-3/2x+1. In this case there will be infinite solutions, but parallel equations have no solutions.)

I hope this helps!! Please ask if you have more questions!
6 0
3 years ago
In a local​ town, 4/5 of the​ voting-age population is registered to vote. If 7/8 of the registered voters voted in the election
STALIN [3.7K]

Answer:

\frac{7}{10}  of voting age population voted

Step-by-step explanation:

In order to find out that fraction we just have to mulitply the fraction of the people that were registered by the fractions of the people that were registered and voted. And so we get...

(\frac{4}{5})(\frac{7}{8}) = \frac{(4)(7)}{(5)(8)} = \frac{28}{40} = \frac{7}{10}

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2 years ago
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