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Mice21 [21]
3 years ago
12

Determine the approximate ordered pair for f(x) = g(x). the graph of two linear functions negative 4 times x plus 15 times y equ

als negative 300 and 20 times x plus 4 times y equals negative 20

Mathematics
1 answer:
melisa1 [442]3 years ago
3 0

Answer:

  (x, y) ≈ (2.848, -19.241)

Step-by-step explanation:

I find it much easier to work with the problem statement when math expressions are written using numbers and symbols. We assume you have ...

  -4x +15y = -300

  20x +4y = -20

Dividing the second equation by 4 and subtracting the x-term gives ...

  y = -5-5x

Substituting that into the first equation, we get ...

  -4x +15(-5-5x) = -300

  -79x -75 = -300

  x = -225/-79 = 2 67/79 ≈ 2.8481

Substituting this into the equation for y gives ...

  y = -5(x +1) = -5(3 67/79) = -19 19/79 ≈ -19.2405

The approximate solution is ...

  (x, y) = (2.8481, -19.2405)

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Exterior angles are complementary to the opposite interior angle 

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3 years ago
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If a is directly proportional to b/2 and a=1 when b=10, what is the value of a when b=35
iris [78.8K]
The value of a would be 3.5, as a=1 when b=10 means that a is worth 1/10 of b's value. 
5 0
3 years ago
Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total
Fantom [35]

Answer:the number of coach tickets that she bought is 5

the number of first class tickets that she bought is 6

Step-by-step explanation:

Let x represent the number of coach tickets that she bought.

Let y represent the number of first class tickets that she bought.

The total number of people that went for the round trip is 11. This means that

x + y = 11

She was able to purchase coach tickets for ​$340 and first class tickets for ​$1190. She used her total budget for airfare for the​ trip, which was ​$8840. This means that

340x + 1190y = 8840 - - - - - - - 1

Substituting x = 11 - y into equation 1, it becomes

340(11-y) + 1190y = 8840

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4 0
3 years ago
In an area of the Midwest, records were kept on the relationship between the rainfall (in inches) and the yield of wheat (bushel
dusya [7]

Answer:

The correct answer is 36.2

Step-by-step explanation:

Hello!

Given the data:

Rainfall(inch) x: 10.5, 8.8, 13.4, 12.5, 18.8, 10.3, 7.0, 15.6, 16.0

Yield (bushels per acre) y: 50.5, 46.2, 58.8, 59.0, 82.4, 49.2, 31.9, 76.0, 78.8

The response variable is

Y: Yield of wheat (bushels per acre)

Explanatory variable:

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I've calculated the equation of regression using a statistics software, the estimated equation is:

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To calculate the value that will take the response variable for a given value of X:

^Y= 4.27 + 4.38*7.3= 36.24 bushels per acre.

I hope it helps!

5 0
3 years ago
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Evgesh-ka [11]

Answer:

(4, 1)

Step-by-step explanation:

8 units to the right = x + 8, so -4 + 8 = 4

4 units up = y + 4, so -3 + 4 = 1

4 0
2 years ago
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