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earnstyle [38]
3 years ago
10

Given:x+2y=-6 solve for x what is fhe coefficient of y?​

Mathematics
1 answer:
alexandr402 [8]3 years ago
5 0

Answer:

The coefficient of y is -2

Step-by-step explanation:

x + 2y=-6      

   - 2y   -2y      Subtract 3y from both sides

x = -2y - 6         This equation is solved for x

The coefficient of y is -2

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What is the coefficient of the last term in the binomial expansion of (x 1)9? 0 1 9 10
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The coefficient of the last term in the binomial expansion is 1.

Given term is (x + 1)⁹.

The algebraic expansion of a binomial's powers is expressed by the binomial theorem or binomial expansion. The process of expanding and writing terms that are equal to the natural number exponent of the sum or difference of two terms is known as binomial expansion.

The binomial expansion formula for (a + b)ⁿ= ⁿC₀(aⁿb⁰)+ⁿC₁(aⁿ⁻¹b¹)+ⁿC₂(aⁿ⁻²b²)+ⁿC₃(aⁿ⁻³b³)+...............+ⁿCₙ(a⁰bⁿ)

Here, a = x, b = 1 and n = 9.

Substituting the values in the formula,

⁹C₀(x⁹{1}₀)+⁹C₁(x⁹⁻¹{1}¹)+⁹C₂(x⁹⁻²{1}²)+⁹C₃(x⁹⁻³{1}³)+......+⁹C₉(x⁰{1}⁹)

The last term is ⁹C₉(x⁰{1}⁹)

The coefficient of the last term = ⁹C₉ = 1.

Hence, the coefficient of the last term in the binomial expansion of (x+1)⁹ is 1.

Learn more about binomial expansion from here brainly.com/question/13602562

#SPJ4

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* WILL GIVE BRIANLIEST*(8.01 LC)
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The equation 2x+2y=4 would allow the set of equations to have infinitely many solutions because it's a multiple of the original equation
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