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3 years ago

5/2c-3=3/7c+4 and please explain

1 answer:

5 0

5/2c - 3 = 3/7c + 4...subtract 3/7c from both sides
5/2c - 3/7c - 3 = 4.....add 3 to both sides
5/2c - 3/7c = 4 + 3....common denominator of 7 and 2 is 14
35/14c - 6/14c = 7...simplify
29/14c = 7....multiply both sides by 14/29, eliminating the 29/14 on left
c = 7 * 14/29
c = 98/29 = 3 11/29

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Write the explicit formula for the arithmetic sequence.

qwelly [4]

Option C

The explicit formula for the arithmetic sequence is $a_n = 9 - 6n$

Solution:

Given that the arithmetic sequence is:

3, -3, -9, -15, -21, ...

To find: Explicit formula for the arithmetic sequence

The nth term of an arithmetic sequence is given by:

$a_n = a_1 + (n - 1)d$

Where $a_n$ is nth term of sequence

n is the term's location

$a_1$ is the first term of sequence

d is the common difference between terms

In an arithmetic sequence, the difference between successive terms is constant. This means that we can move from any term to the next one by adding a constant value.

In the given sequence:

3, -3, -9, -15, -21, ...

$a_1 = \text{ first term } = 3$

d = difference between any two terms in sequence

$d = a_2 - a_1$

d = -3 - (3) = -6

Substituting the values in above formula,

$a_n = 3 + (n - 1)(-6)\\\\a_n = 3 -6n + 6\\\\a_n = 9 - 6n$

Thus the explicit formula to find any term in sequence is found

3 0

3 years ago

I could use some more help

kherson [118]

Answer:

$\left[\begin{array}{ccc}-30&22&8\\-4&-4&16\\30&-28&18\end{array}\right]$

Step-by-step explanation:

Given

$A = \left[\begin{array}{ccc}-1&9&2\\10&-10&2\\-5&6&-5\end{array}\right]$

$B = \left[\begin{array}{ccc}7&-1&-1\\6&-4&-3\\-10&10&-7\end{array}\right]$

Required

2A - 4B

To solve 2A - 4B, we first multiply matrix A by 2 and matrix B by 4

So, if

$A = \left[\begin{array}{ccc}-1&9&2\\10&-10&2\\-5&6&-5\end{array}\right]$

$2A = 2 *\left[\begin{array}{ccc}-1&9&2\\10&-10&2\\-5&6&-5\end{array}\right]$

$2A = \left[\begin{array}{ccc}-2&18&4\\20&-20&4\\-10&12&-10\end{array}\right]$

$B = \left[\begin{array}{ccc}7&-1&-1\\6&-4&-3\\-10&10&-7\end{array}\right]$

then

$4B = 4*\left[\begin{array}{ccc}7&-1&-1\\6&-4&-3\\-10&10&-7\end{array}\right]$

$4B = \left[\begin{array}{ccc}28&-4&-4\\24&-16&-12\\-40&40&-28\end{array}\right]$

So; 2A - 4B becomes

$\left[\begin{array}{ccc}-2&18&4\\20&-20&4\\-10&12&-10\end{array}\right] - \left[\begin{array}{ccc}28&-4&-4\\24&-16&-12\\-40&40&-28\end{array}\right]$

$\left[\begin{array}{ccc}-2-28&18-(-4)&4-(-4)\\20-24&-20-(-16)&4-(-12)\\-10-(-40)&12-40&-10-(-28)\end{array}\right]$

$\left[\begin{array}{ccc}-30&18+4&4+4\\20-24&-20+16&4+12\\-10+40&12-40&-10+28\end{array}\right]$

$\left[\begin{array}{ccc}-30&22&8\\-4&-4&16\\30&-28&18\end{array}\right]$

Hence, 2A - 4B is equivalent to

$\left[\begin{array}{ccc}-30&22&8\\-4&-4&16\\30&-28&18\end{array}\right]$

3 0

3 years ago

Brainlist to the right answer :)

lianna [129]

Answer 1 I am pretty sure

4 0

2 years ago

Read 2 more answers

Simplify (2 x 3^-2)^3(5 x 3^2)^2/(3^-2)(5 x 2)^3

Maslowich

Answer:

$\frac{12x^2}{5}$

8 0

3 years ago

Read 2 more answers

Why numbers are written as powers?

pishuonlain [190]

Answer:

Answer below

Step-by-step explanation:

Large numbers like 100 billion are cumbersome to write out in ordinary form (100,000,000,000) and so scientists use a shorthand notation called powers of ten. ... The exponent tells you how many times ten is to be multiplied by iteslf to equal the number you wish to write. For example, 100 can be written as 10x10 = 102.

Hope this helps!

3 0

3 years ago