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romanna [79]
3 years ago
5

Is the relationship shown by the data linear? If so, model the data with an equation.

Mathematics
2 answers:
Julli [10]3 years ago
7 0

Answer:

The relation is linear

Step-by-step explanation:

shepuryov [24]3 years ago
5 0

Answer:

Yes, the relationship shown is linear. The equation of the line is y=-1.25x-13.25.

Step-by-step explanation:

This data is linear as y decreases at a constant rate. The equation of a line is y=mx+b, where m=slope and b=y intercept

To find m:

m=\frac{y2-y1}{x2-x1}

m=\frac{(-2)-(-7)}{(-9)-(-5)}

m=\frac{5}{-4}

m=-\frac{5}{4}=-1.25

To find b, you can use any of the given points:

(-9,-2)

(-2)=-1.25(-9)+b

-2=11.25+b

-2-11.25=b

b=-13.25

Therefore, using the calculated values for m and b:

y=mx+b

y=-1.25x-13.25

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Karolina [17]

Answer: (1,3) or x = 1 and y = 3

Step-by-step explanation:

The solution is the intersection thus the answer is (1,3) or x = 1 and y = 3

4 0
2 years ago
Los jornales de dos obreros suman S/.60. Si uno de ellos gana S/.12
8_murik_8 [283]

Answer:

Cada uno de ellos gana:

S/. 24

S/. 36

Step-by-step explanation:

Planteamiento:

a + b = 60

a = 12 + b

Desarrollo:

sustituyendo el valor de la segunda ecuación del planteamiento en la primer ecuación del planteamiento:

(12+b) + b = 60

2b + 12 = 60

2b = 60 - 12

2b = 48

b = 48/2

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de la segunda ecuación del planteamiento:

a = 12 + b

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a = 36

Check:

24 + 36 = 60

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4 years ago
Multiplying decimals with models
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2x^2+7x=15 write in standard then factor the left side of the equation.
Nataly [62]

Answer:

see explanation

Step-by-step explanation:

Given

2x² + 7x = 15 ( subtract 15 from both sides )

2x² + 7x - 15 = 0 ← in standard form

To factorise the left side

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

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The factors are + 10 and - 3

Use these factors to split the x- term

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2x(x + 5) - 3(x + 5) ← factor out (x + 5) from each term

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