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Yanka [14]
3 years ago
13

Solve the following system by elimination: 4x+3y=2 5x + 4y = 3

Mathematics
1 answer:
MAXImum [283]3 years ago
5 0

Answer:

5x+4y=3

- 4x+3y=2

-----------------

x+y=1

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The revenue, in dollars, of a company that produces video game systems can be modeled by the expression 5x2 + 2x – 80. The cost,
aleksandr82 [10.1K]

Answer:

$2,820

Step-by-step explanation:

In this question, we need to find how much profit the company made.

First, find how much revenue they made using the expression: 5x² + 2x - 80

Since we know they sold 1,000 videogame systems, plug in 1000 into x.

5(1000)² + 2(1000) - 80

Solve:

5(1000)² + 2(1000) - 80

5000000 + 2000 - 80

Revenue: $5,001,920

Since revenue is not the number for profit, we need to find how much it cost to make the 1000 videogame systems. Use the expression: 5x² – x + 100

Plug in 1000 to x.

Solve:

5(1000)² – 1000 + 100

5000000 – 1000 + 100

Cost to make: $4,999,100

Now, to find the profit, we would subtract the cost to make from the revenue. This is represented with the function: P(x) = R(x) - C(x)

P(x) = Profit

R(x) = Revenue

C(x) = Cost

Solve:

5,001,920 - 4,999,100 = $2,820

This means that the company made $2,820 in profit

8 0
3 years ago
Write the following number in expanded form 46,371
rodikova [14]
40,000 + 6,000 + 300 + 70 + 1
5 0
3 years ago
To help plan its nursing staff schedule, a large hospital uses simple exponential smoothing to forecast the daily number of hosp
Morgarella [4.7K]

Answer:386

Step-by-step explanation:

We have given

Smoothing parameter \left ( \alpha \right )=0.56

Forecasted demand\left ( F_t\right )=385

Actual demand\left ( D_t\right )=386

And Forecast is given by

F_{t+1}=\alpha D_t+\left ( 1-\alpha \right )F_t

F_{t+1}=0.56\cdot 386+\left ( 1-0.56\right )385=385.56\approx 386

F_{t+2}=0.56\cdot 386+\left ( 1-0.56\right )385.56=385.806\approx 386

F_{t+3}=0.56\cdot 386+\left ( 1-0.56\right )385.806=385.914\approx 386

F_{t+4}=0.56\cdot 386+\left ( 1-0.56\right )385.914=385.962\approx 386

3 0
3 years ago
Find the 7th term of a geometric sequence with t1=5 and r = -2.
Shtirlitz [24]
An=Asub1(r)n-¹
=5(-2)7-¹
=5(64)
A7=320
4 0
3 years ago
Four friends race their bikes down the street. Evan finishes in 6.2 seconds, Devon in 6.0999 seconds, Liza in 6.188 seconds, and
Troyanec [42]

Answer: Devon, Tasha, Liza, Effon

Step-by-step explanation:

From the question, we are informed that four friends race their bikes down the street and that Evan finishes in 6.2 seconds, Devon in 6.0999 seconds, Liza in 6.188 seconds, and Tasha in 6.168 seconds.

The order that shows the friends' times from fastest to slowest is:

• Devon

• Tasha

• Liza

• Effon

Devon used 6.0999 seconds which is the fastest time, after then Tasha comes next with 6.168 seconds, then Liza with 6.188 seconds and lastly Effon with 6.2 seconds

8 0
4 years ago
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