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2 years ago

3. Which expression is equivalent to 1+2(x-1)

Mathematics

1 answer:

padilas [110]2 years ago

8 0

Answer:

Step-by-step explanation:

<u>Equivalent Algebraic Expressions </u>

One algebraic expression can be written in several ways by applying known rules and theorems that modify expressions without changing its final value.

The expression:

1 + 2(x - 1)

Can be modified by applying the following operations:

Multiplying the constant by the contents in parentheses:

1 + 2x - 2

Collecting like terms:

-1 + 2x

Or, equivalently:

2x - 1

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

Mandarinka [93]

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:

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

a3 = -12 and a8 = -37

First we find the common difference. So

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

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

$-37 = -12 + 5d$

$5d = -25$

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

$d = -5$

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

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:

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

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

6 0

2 years ago

Help me please!! This test is due tomorrow!! What's the answer? 5 stars and brainliest!

puteri [66]

Answer:

5/36

Step-by-step explanation:

I added them up

Tell me if I am wrong.

Can I get brainliest

3 0

3 years ago

The regular price of an item at a store is p dollars. The item is on sale for 20% off the regular price. Some of the expressions

Volgvan

Answer:

Step-by-step explanation:

5 0

3 years ago

-21 , 55 , -97 , 34 , 56 , -83 least to greatest?

FinnZ [79.3K]

Answer:

the answer is -97, -83, -21, 34, 55, 56

Step-by-step explanation:

The simple way to put it is negitives are backwards, the bigger the number the lesser it gets. So always put the highest negitive as least, hope this helps!

5 0

3 years ago

Read 2 more answers

Give the domain and range.

Ymorist [56]

Answer:Graphs of inverse functions have a domain and range just like any other graph of a function. The domain of an inverse function is the range of the original, and the range of an inverse function is the domain of an original.

Step-by-step explanation:

7 0

3 years ago