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Evgesh-ka [11]
2 years ago
13

Simplify: 6 - 4[3(2x + 5) - 4x]

Mathematics
2 answers:
Iteru [2.4K]2 years ago
7 0

Answer:

D. -8x-54

Step-by-step explanation:

Apply the distributive property.

6-4(3(2x)+3*5-4x)

Multiply 2 by 3

6-4(6x+15-4x)

Multiply 3 by 5

6-4(6x+15-4x)

Subtract 4x from 6x

6-4(2x+15)

Apply the distributive property.

6-4(2x)-4*15

Multiply 2 by -4

6-8x-4*15

Mutliply -4 by 15 6-8x-60

Subtract 60 from 6

Serggg [28]2 years ago
6 0
Answer is D hope this helps
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Step-by-step explanation:

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Name the ray rhat angle PQR and angle SQR share
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<span>Ray Q is the ray that angle PQR and SQR shares. Because both angles has the ray of Q.
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If the term of arthematic progression decrease in magnitude then common difference must be
Tpy6a [65]

We can say that if the term of arithmetic progression decrease in magnitude then the common difference must be <u>negative</u>.

An arithmetic progression is a sequence where every term is a sum of the previous term and a common difference.

If we suppose the first term of an arithmetic progression to be a, and the common difference to be d, then the arithmetic progression goes like this:

The first term, a₁ = a,

Second term, a₂ = a₁ + d = a + d,

Third term, a₃ = a₂ + d = a + 2d,

Fourth term, a₄ = a₃ + d = a + 3d, and it goes so on up to,

The n-th term, aₙ = aₙ₋₁ + d = a + (n - 1)d.

In the question, we are asked if the term of arithmetic progression decrease in magnitude then what can we say about the common difference.

As the magnitude of the term decreases, we can show that as:

The n-th term < The first term,

or, aₙ < a₁,

or, a + (n - 1)d < a,

or, a + (n - 1)d - a < a - a {Subtracting a from both sides},

or, (n - 1)d < 0.

Since, n > 1, (n - 1) > 0, thus we get the common difference, d < 0, that is, the common difference is negative.

Thus, we can say that if the term of arithmetic progression decrease in magnitude then the common difference must be <u>negative</u>.

Learn more about arithmetic progressions at

brainly.com/question/6561461

#SPJ4

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2 years ago
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