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Airida [17]
2 years ago
8

3x+4y=5

Mathematics
1 answer:
KonstantinChe [14]2 years ago
4 0
3x + 4y = 5
2x - 5y = 8
 
To answer this question, we need to put both of these equations into Slope-Intercept form, or in other words, solve for y.

3x + 4y = 5            Subtract 3x from both sides
        4y = -3x + 5   Divide both sides by 4
          y = -\frac{3}{4} + \frac{5}{4}

2x - 5y = 8   Subtract 2x from both sides
      -5y = -2x + 8   Divide both sides by -5
         y = \frac{2}{5} - \frac{8}{5}

When you look at the two equations, you can see that their slopes are completely different, so they aren't parallel, or inconsistent. Since  \frac{2}{5} is not the same as<span> -\frac{3}{4}, they aren't the same line, or dependent. So, the only option left is that they are consistent and independent.</span>
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3 years ago
Find the coordinates of the midpoint of the segment with the given pair of endpoints. J(6, 6); K(2, –4)
Levart [38]

Answer:

(4,1)

Step-by-step explanation:

let J(6,6) be x1, y1

let K(2,-4) be x2, y2

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=(6+2)/2 ,(6-4)/2

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3 0
3 years ago
Round each decimal number to the near estas integer: 11.90, 5.49, 7.09, 8.5, -2.2
astraxan [27]

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5.49 rounds down to 5.

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8 0
2 years ago
Given the weekly demand curve of a local wine producer is p= 50-0.1q, and that the total cost function is c= 1500+ 10q, where q
Mamont248 [21]

Answer:

Step-by-step explanation:

From the given information:

a) To express the weekly profit as a function of price

Cost =C(q) = 1500 + 10q

Revenue = p×q = (50 − 0.1q)×q = 50q - 0.1q²

Revenue = 50q - 0.1q²

Weekly profit = Revenue - Cost

P(q) = (50q -0.1q²) - (1500 + 10q)

P(q)= -0.1 q² + 40 q - 1500  

However, q = 500 - 10 p using p = 50 − 0.1q

P= -0.1 (500 - 10 p)² + 40 (500 - 10 p) - 1500

P= -10 p² + 600 p - 6500

b)

The price at which the bottle of the wine must be sold to realise a maximum profit can be determined by finding the derivative and then set it to 0  

P' = 0

= -20p+600 = 0

20p = 600

p = 600/20

p = $30

c)

The maximum profit that can be made by the producer is:

P= -10(30)² + 600(30) - 6500

P = - 9000 + 18000 - 6500

P = $2500

5 0
3 years ago
!PLEASE HELP!
charle [14.2K]
\bold{ANSWER:}
C) 5.4

\bold{SOLUTION:}

8 0
1 year ago
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