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2 years ago

A) Solve 6(x - 3) = 2x + 10

Mathematics

2 answers:

marysya [2.9K]2 years ago

7 0

Answer:

Step-by-step explanation:

Solve

6(x - 3) = 2x + 10

6x - 18 = 2x + 10

6x - 2x = 10 + 18

4x = 28

x = 28 : 4

x = 7

--------------------

check

6(x - 3) = 2x + 10

6(7-3) = 2 * 7 + 10

24 = 24

the answer is good

Yuri [45]2 years ago

5 0

Answer:

answer is 7

Step-by-step explanation:

first u have to multiple 6 with that bracket one

then u will get something like this 6x-18 and u have to make like terms together and solve it

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The thirty-second term is 143

Further explanation:

As it is already given that the given sequence is an arithmetic sequence

We have to find the common difference first

So,

$a_1=-12\\a_2=-7\\a_3=-2\\a_4=3$

$d=a_2-a_1=-7-(-12)=-7+12=5\\a_3-a_2=-2-(-7)=-2+7=5$

The common difference is 5.

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The explicit formula for arithmetic sequence is:

$a_n=a_1+(n-1)d\\Here,\\a_n\ is\ nth\ term\\a_1\ is\ first\ term\\d\ is\ common\ difference$

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$a_n=-12+(n-1)(5)\\a_n=-12+5n-5\\a_n=-17+5n$

Putting n=32 in explicit formula

$a_{32}=-17+5(32)\\=-17+160\\=143$

The thirty-second term is 143

Keywords: Common difference, Arithmetic Sequence

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