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andreyandreev [35.5K]
3 years ago
6

Which sentence explains the correct first step in the solution of this equation?

Mathematics
1 answer:
siniylev [52]3 years ago
3 0

Answer:

<h3>B. Apply the distributive property to get 4x-12=9</h3>

\boxed{\sf{x=\dfrac{21}{4}=5.25 }}

Step-by-step explanation:

Isolate the term of x from one side of the equation.

Use the distributive property.

<u>Distributive property:</u>

\Longrightarrow: \sf{A(B+C)=AB+AC}

<h3>4(x-3)=9</h3>

<u>Expand the form multiply.</u>

4*x=4x

4*3=12

<u>Rewrite the problem down.</u>

4x-12=9

<u>Add by 12 from both sides.</u>

4x-12+12=9+12

<u>Solve.</u>

<u />

<u>Add the numbers from left to right.</u>

9+12=21

4x=21

Divide by 4 from both sides.

4x/4=21/4

<u>Solve.</u>

<u>Divide the numbers from left to right.</u>

x=21/4

21/4=5.25

<u>x=21/4=5.25</u>

  • <u>Therefore, the final answer is x=21/4=5.25.</u>

I hope this helps you! Let me know if my answer is wrong or not.

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Use the binomial expansion and approximation to find √3​
belka [17]

According to the use of binomial expansion, the approximate value of √3 is found by applying the infinite sum √3 = 1 + (1 /2) · 2 - (1 / 8) · 2² + (1 / 16) · 2³ - (5 / 128) · 2⁴ + (7 / 256) · 2⁵ - (21 / 1024) · 2⁶ + (33 / 2048) · 2⁷ - (429 / 32768) · 2⁸ +...

An acceptable result cannot be found manually for it requires a <em>high</em> number of elements, with the help of a solver we find that the <em>approximate</em> value of √3 is 1.732.  

<h3>How to approximate the value of a irrational number by binomial theorem</h3>

Binomial theorem offers a formula to find the <em>analytical</em> form of the power of a binomial of the form (a + b)ⁿ:

(a + b)^{n} = \sum \limits_{k = 0}^{n} \left(\begin{array}{c}n\\k\end{array}\right)\cdot a^{n-k} \cdot b^{k}     (1)

Where:

  • a, b - Constants of the binomial.
  • n - Grade of the power binomial.
  • k - Index of the k-th element of the power binomial.

If we know that a = 1, b = 2 and n = 1 / 2, then an approximate expression for the square root is:

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To learn more on binomial expansions: brainly.com/question/12249986

#SPJ1

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2 years ago
What does 1/10 of 3000 equal?
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Answer:-
1/10×3000
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