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VikaD [51]
3 years ago
13

What are the solutions of the following system?

Mathematics
1 answer:
Andreyy893 years ago
3 0
X^2 + y^2 = 25
2x + y = -5.....y = -2x - 5

x^2 + (-2x - 5)^2 = 25
x^2 + (-2x - 5)(-2x - 5) = 25
x^2 + (4x^2 + 20x + 25) = 25
5x^2 + 20x + 25 = 25
5x^2 + 20x = 0
5x(x + 4) = 0

5x = 0         2(0) + y = -5
x = 0            y = -5

x + 4 = 0      2(-4) + y = -5
x = -4           -8 + y = -5
                     y = 3

solutions are : x = 0, y = -5.....and x = -4, y = 3

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goldfiish [28.3K]
Second answer box, try that
3 0
3 years ago
Please answer this question correctly for 24 points and brainliest!!
amm1812

Answer:

  $110

Step-by-step explanation:

Let a, b, and c represent the earnings of Alan, Bob, and Charles. The problem statement tells us ...

  a + b + c = 480 . . . . . . the combined total of their earnings

  -a + b = 40 . . . . . . . . . . Bob earned 40 more than Alan

  2a - c = 0 . . . . . . . . . . . Charles earned twice as much as Alan

Adding the first and third equations, we get ...

  (a + b + c) + (2a - c) = (480) + (0)

  3a + b = 480

Subtracting the second equation gives ...

  (3a +b) - (-a +b) = (480) -(40)

  4a = 440 . . . . . . . . simplify

  a = 110 . . . . . . . . . . divide by the coefficient of a

Alan earned $110.

_____

<em>Check</em>

Bob earned $40 more, so $150. Charles earned twice as much, so $220.

The total is then $110 +150 +220 = $480 . . . . as required

8 0
3 years ago
Suppose the current cost of gasoline is ​$2.58 per gallon. Find the current price index​ number, using the 1975 price of 56.7 ce
AleksandrR [38]

Answer:

Current price index​ number = 455

Step-by-step explanation:

Given:

Current cost of gasoline = ​$2.58 per gallon

1975 price of gasoline = 56.7 Cents = 56.7 / 100 = $0.567 per gallon

Find:

Current price index​ number = ?

Computation:

Current price index​ number = (Current cost / Reference cost) 100

Current price index​ number = (​$2.58 / $0.567)100

Current price index​ number = (4.55​)100

Current price index​ number = 455

7 0
3 years ago
0.327 rounded to the nearest hundredths
daser333 [38]
.33 because the 2 needs to round up hecause there is a number greater than 5 after it
8 0
3 years ago
Read 2 more answers
30 point for this plz help!! And explain how you got you answer
ch4aika [34]

To find the sales price of the DVD, you would multiply the price and sale percent to get the sale price.

You would need to turn 20% into a decimal to multiply it with 9, so you would move the decimal place two times to the left: From 20. to→ .20

In this case: 9 × .20 = 1.8

Then you would subract the sub price by the sales price

9 - 1.8 = 7.2

The sales price of the DVD would be $7.20

4 0
3 years ago
Read 2 more answers
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