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3 years ago

SIMPLIFY THE EXPRESSION 3(-6 + 2j)

Mathematics

1 answer:

Alinara [238K]3 years ago

4 0

Answer:

-18 + 6j

Step-by-step explanation:

3 * -6 is -18

3 * 2j is 6j

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7x+9y=-41 and x+3y=1. Solve system of equations

galben [10]

9514 1404 393

Answer:

(x, y) = (-11, 4)

Step-by-step explanation:

You can subtract 3 times the second equation from the first to eliminate y.

(7x +9y) -3(x +3y) = (-41) -3(1)

4x = -44

x = -11

Substituting into the second equation gives ...

-11 +3y = 1

3y = 12

y = 4

The solution is (x, y) = (-11, 4).

7 0

3 years ago

Simplify the expression 56-2(4+x)

lesya692 [45]

Answer:

48+x

Step-by-step explanation:

56-2(4+x)

56-8+x

48+x

5 0

3 years ago

Please help! I am supposed to write a recursive and an explicit function for the geometric sequence but this one is really frust

makkiz [27]

Step-by-step explanation:

Initially, there's only 1 letter.

Tania sends the letter to 4 friends.

Each friend sends a letter to 4 more friends (4 × 4 = 16).

Each of those friends sends to 4 more friends (16 × 4 = 64).

The pattern is 1, 4, 16, 64, etc.

This is a geometric sequence. The first term is 1 and each term is 4 times the previous term.

a₁ = 1

aₙ = 4 aₙ₋₁

The explicit formula is:

aₙ = 1 (4)ⁿ⁻¹

7 0

3 years ago

What is the binomial expansion of (x 2y)7? 2x7 14x6y 42x5y2 70x4y3 70x3y4 42x2y5 14xy6 2y7 x7 14x6y 42x5y2 70x4y3 70x3y4 42x2y5

AysviL [449]

You can take x = a, 2y = b and then can apply the binomial theorem.

The expansion of given expression is given by:

Option D: $x^7 + 14x^6y + 84x^5y^2 + 280x^4y^3 + 560x^3y^4 + 672x^2y^5 + 448xy^6 + 128y^7$ is

<h3>What is binomial theorem?</h3>

It provides algebraic expansion of exponentiated(integer) binomial.

According to binomial theorem,

$(a+b)^n = \sum_{i=0}^n ^nC_i a^ib^{n-i}$

<h3>How to use binomial theorem for given expression?</h3>

Taking a = x, and b =2y, we have n = 7, thus:

$(x+2y)^7 = \: ^7C_0x^0(2y)^7 + \: ^7C_1x^1(2y)^6 + \: ^7C_2x^2(2y)^5 + \: ^7C_3x^3(2y)^4 + \:^7C_4x^4(2y)^3 + \:^7C_5x^5(2y)^2 + \:^7C_6x^6y^1 + \: ^7C_0x^7y^0\\\\
(x+2y)^7 = 128y^7 + 448xy^6 + 672x^2y^5 + 560x^3y^4 + 280x^4y^3 + 84x^5y^2 + 14x^6y + x^7\\\\
(x+2y)^7 = x^7 + 14x^6y + 84x^5y^2 + 280x^4y^3 + 560x^3y^4 + 672x^2y^5 + 448xy^6 + 128y^7$

Thus, Option D: $x^7 + 14x^6y + 84x^5y^2 + 280x^4y^3 + 560x^3y^4 + 672x^2y^5 + 448xy^6 + 128y^7$ is correct.

Learn more about binomial theorem here:

brainly.com/question/86555

6 0

2 years ago

Help me pleaseeeeee!!!!!

Evgen [1.6K]

Answer:

The triangle is an isosceles triangle

6 0

2 years ago

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