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3 years ago

Solve for W

Mathematics

2 answers:

umka2103 [35]3 years ago

4 0

In this equation w = -1.1

In order to find this, get all w values to the right side and all numbers to the left side.

-2.27 + 9.1w + 1.3w = -3.4w - 17.45 ----> combine like terms

-2.27 + 10.4w = -3.4w - 17.45 ----> add 3.4w to both sides

-2.27 + 13.8w = -17.45 ----> add 2.27 to both sides

13.8w = -15.18 -----> divide both sides by 13.8

w = -1.1

kondaur [170]3 years ago

4 0

-2.27 + 9.1w + 1.3w = -3.4w - 17.45

First, combine like terms

-2.27 + (9.1w + 1.3w) = -3.4w - 17.45

-2.27 + 10.4w = -3.4w - 17.45

Add 2.27 to both sides and 3.4w to both sides to isolate the w.

-2.27 (+2.27) + 10.4w (+3.4w) = -3.4w (+3.4w) - 17.45 (+2.27)

10.4w + 3.4w = -17.45 + 2.27

Simplify

13.8w = -15.18

Isolate the w. Divide 13.8 from both sides

13.8w/13.8 = -15.18/13.8

w = -15.18/13.8

w = -1.1

-1.1 should be your answer

hope this helps

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Read 2 more answers

Indicate the general rule for the arithmetic sequence with a3 = -12 and a8 = -37

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Answer:

The general rule is $a_n = -2 - 5(n-1)$

Step-by-step explanation:

Arithmetic sequence:

In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.

The general rule of an arithmetic sequence is given by:

$a_{n} = a_1 + (n-1)d$

In which $a_1$ is the first term and d is the common difference.

We can also find the nth term as a function of a term m, using:

$a_n = a_m + (n-m)d$

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First we find the common difference. So

$a_n = a_m + (n-m)d$

$a_8 = a_3 + (8-3)d$

$-37 = -12 + 5d$

$5d = -25$

$d = -\frac{25}{5}$

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$a_n = a_1 - 5(n-1)$

Finding the first term:

$a_n = a_1 - 5(n-1)$

Since $a_3 = -12$

$a_n = a_1 - 5(n-1)$

$a_3 = a_1 - 5(3-1)$

$a_1 = a_3 + 10 = -12 + 10 = -2$

So the general rule is:

$a_n = a_1 - 5(n-1)$

$a_n = -2 - 5(n-1)$

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