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3 years ago

What is the solution to this equation 10x - 3(x-6)- x + 30

Mathematics

1 answer:

Llana [10]3 years ago

8 0

Answer:

option B)

x = 2

Step-by-step explanation:

Given in the question the equation:

10x - 3(x- 6) = x + 30

Simplify the left side

10x - 3(x - 6) = x + 30

10x - 3x + 18 = x + 30

rearrange the terms and containing x to the left side of the equation and add accordingly

x(10 - 3 - 1) = (30 - 18)

x(10 - 4) = (12)

x(6) = 12

6x = 12

Divide each term by 6 and simplify

x = 12/6

x = 2

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

In a geometric sequence, a4 = 54 and a7 = 1,458. what is the 12th term? <br><br> answer: B) 354,294

slamgirl [31]

Option B:

The 12th term is 354294.

Solution:

Given data:

$a_4=54$ and $a_7=1458$

To find $a_{12}:$

The given sequence is a geometric sequence.

The general term of the geometric sequence is $a_n=a_1\ r^{n-1}$ .

If we have 2 terms of a geometric sequence $a_n$ and $a_k$ (n > K),

then we can write the general term as $a_n=a_k\ r^{n-k}$ .

Here we have $a_4=54$ and $a_7=1458$ .

So, n = 7 and k = 4 ( 7 > 4)

$a_7=a_4\ .\ r^{7-4}$

$1458=54\ . \ r^3$

This can be written as

$$r^3=\frac{1458}{54}$

$$r^3=27$

$$r^3=3^3$

Taking cube root on both sides of the equation, we get

r = 3

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$=1458\ .\ 3^5$

$a_{12}=354294$

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Answer:

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