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liq [111]
3 years ago
15

Which table represents the same linear relationship as y = 3x - 2?

Mathematics
1 answer:
Trava [24]3 years ago
3 0

Answer:

Table 4  represents the same linear expression  as y = 3 x - 2.

Step-by-step explanation:

Here, the given expression is y = 3 x -2

So now check the any random pair of each table by putting in the given equation.

<u>TABLE 1 :  (2,-5)</u>

y = 3x -2  ⇒  -5 = 3(2) -2

or, -5 = -4 , NOT POSSIBLE

<u>TABLE 2 :  (0,3)</u>

y = 3x -2  ⇒  3 = 3(0) -2

or, 3 = -2 , NOT POSSIBLE

<u>TABLE 3 :  (1,2)</u>

y = 3x -2  ⇒  2 = 3(1) -2

or, 2 = 1 , NOT POSSIBLE

<u>TABLE 4 :  (1,1)</u>

y = 3x -2  ⇒  1 = 3(1) -2

or, 1 = 1 ,  POSSIBLE

checking for (2,4)

4 = 3(2) - 2  ⇒4 = 4 POSSIBLE

Here, table 4 satisfies the given points in the expression y = 3x -2

Hence, it represents the same linear expression .

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The expression (4x+5)(3x-7) is the factorization of what trinomial?
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Penn writes a 2013-term arithmetic sequence of positive integers, and Teller writes a different 2013-term arithmetic sequence of
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Answer: 503

Step-by-step explanation:

Penn: n = 2013

          a₁ = x

           r = rp

Teller n = 2013

          a₁ = -x

           r = rt

Sum of terms arithmetic sequence: S = (a₁ + aₙ)n/2

Spenn = (x + a₂₀₁₃).2013/2

Steller = (-x + a₂₀₁₃).2013/2

Spenn = Steller

(x + ap₂₀₁₃).2013/2 = (-x + at₂₀₁₃).2013/2

2x = at₂₀₁₃ - ap₂₀₁₃

General term of arithmetic sequence: aₙ = a₁ + (n-1)r

ap₂₀₁₃ = x + (2013-1)rp = x + 2012rp

at₂₀₁₃ = -x + (2013-1)rt = -x + 2012rt

2x = at₂₀₁₃ - ap₂₀₁₃

2x = -x + 2012rt - (x + 2012rp)

2x = -x + 2012rt - x - 2012rp

2x = -2x + 2012rt - 2012rp

4x = 2012rt - 2012rp

4x = 2012(rt-rp)

x = 2012(rt-rp)/4

x = 503(rt-rp)

As rt - rp cannot be 0, and we know that x is positive, the smallest number for (rt-rp) is 1, so the smallest number for x is 503.

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3 years ago
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