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Luda [366]
2 years ago
7

1/3x-1/6y=4 6x-ay=8 in the system of equatuons above, a is a constant. if the system has no solution, what is the value of a?

SAT
1 answer:
Elden [556K]2 years ago
8 0

Answer:

3

Explanation:

(1/3x-1/6y)×18=4×18 ⇒ 6x-3y=72

6x-ay=8  if a=3 ⇒ 6x-3y=8

72≠8

a=3 ⇒ system has no solution

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What effect does the symbol of the bleeding statue have on the meaning of this passage? the statue is a negative symbol that sho
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The effect of the symbol of the bleeding statue on the meaning of this passage is: D. The statue is a positive symbol that suggests Caesar will nourish Rome.

<h3>What is symbolism?</h3>

Symbolism can be defined as a literary device which is used by an author to convey an idea, emotion or mood to his or her audience (readers), especially through the use of symbols, people, words, marks, locations to represent it.

<h3>The tragedy of Julius Caesar.</h3>

In this scenario, the excerpt was taken from a literary work titled "The tragedy of Julius Caesar" about a nightmare by Calpurnia with respect to the bleeding statue of Caesar.

Based on the given excerpt, we can deduce that the bleeding statue is a positive symbol that suggests Caesar will nourish Rome and be successful.

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What are the coefficients for the binomial expansion of (a b)3? 1, 4, 6, 4, 1 1, 1 1, 2, 1 1, 3, 3, 1
Advocard [28]

The coefficients for the binomial expansion of (a + b)³ are 1, 3, 3, 1.

We have,

The binomial expansion (a + b)³,

So,

Now,

We know that,

Formula for binomial expansion,

i.e.

(u + v)ⁿ = ⁿC₀ · uⁿ · v⁰ + ⁿC₁ · uⁿ⁻¹ · v¹ + ⁿC₂ · uⁿ⁻² · v² + ⁿC₃ · uⁿ⁻³ · v³

Now,

According to the question,

Here,

u = a,

v = b,

And, n =3

Now,

Putting values,

i.e.

(a + b)³ = ³C₀ · a³ · b⁰ + ³C₁ · a³⁻¹ · b¹ + ³C₂ · a³⁻² · b² + ³C₃ · a³⁻³ · b³

We get,

(a + b)³ = ³C₀ · a³ · b⁰ + ³C₁ · a² · b¹ + ³C₂ · a¹ · b² + ³C₃ · a⁰ · b³

Now,

Using combination formula,

^{n} C_{r} = \frac{n!}{r!(n-r)!}

On solving we get,

(a + b)³ = a³ + 3 a² b + 3 a b² + b³

So,

Now,

The coefficients of :

a³ = 1,

3a²b = 3,

3ab² = 3,

b³ = 1,

So,

The coefficients of the given binomial expansion are 1, 3, 3, 1.

Hence we can say that the coefficients for the binomial expansion of (a + b)³ are 1, 3, 3, 1.

Learn more about binomial expansion here

brainly.com/question/3632340

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