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3 years ago

-20y + 15 = 2 - 16y + 11

1 answer:

7 0

In order to answer this, we will first need to combine like terms on each side. on the left, you can leave them alone. however on the right, we will need to combine 2 and 11. this is 13. the right side becomes 13-16y. after that, we can add 20y to both sides. that equals 15=13+4y now we can subtract 13 from both sides. 2=4y. then we divide by 4 on both sides to find y. y=.5

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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

3 years ago

Explain the distance formula. Than use it to calculate the distance between A(1, 1) and B(7, -7).

Alina [70]

The answer is 10 units.

8 0

3 years ago

Read 2 more answers

Solve 7p - 4 + 12p = -3 (5 + p) Can you show the work please?

prisoha [69]

7p - 4 + 12p = -3(5 + p)
7p - 4 + 12p = -15 - 3p
+ 4 + 4
7p + 12p = -11 - 3p
+ 3p + 3p
22p = -11

p = -1/2 Answer

7 0

3 years ago

Read 2 more answers

I don't understand what this is saying

GenaCL600 [577]

It is asking you for the equivalent percentage or fraction. So, where it says 1/2, it wants the percentage, which is 50%. Where it says .25, it wants the fraction, which is 1/4....

6 0

3 years ago

Please need help to solve this

Sunny_sXe [5.5K]

Greetings!

Convert both terms into improper fractions:
$=9/1-59/8$
Find the LCM.
$=72/8-59/8$
Simplify.
$=13/8$
Convert to Mixed Number.
$=1 \frac{5}{8}$

The second answer would be correct.

Hope this helps.
-Benjamin

5 0

3 years ago