Which expression is equivalent to n(25+35) by the disterbutive property

Find the 6th term of the arithmetic sequence X – 9, -X – 11, -3.3 – 13, ...

MrMuchimi

Answer:

$-13x-23$

Step-by-step explanation:

Given sequence: $x-9, -x-11, -3x-13$

Therefore,

$a_1=x-9$
$a_2=-x-11$
$a_3=-3x-13$

General form of an arithmetic sequence: $a_n=a+(n-1)d$

(where a is the first term and d is the common difference)

To find the common difference, subtract a term from the next term:

$\begin{aligned}d & =a_2-a_1\\ & =(-x-11)-(x-9)\\ & = -x-11-x+9\\ & = -2x-2\end{aligned}$

Therefore,

$a_n & =(x-9)+(n-1)(-2x-2)$

To find the 6th term, input n = 6 into the equation:

$\begin{aligned}\implies a_6 & =(x-9)+(6-1)(-2x-2)\\ & = (x-9)+7(-2x-2)\\ & = x-9-14x-14\\ & = -13x-23\end{aligned}$

3 0

3 years ago

Factor <img src="https://tex.z-dn.net/?f=36x%5E%7B4%7D%20-4y%5E%7B2%7D" id="TexFormula1" title="36x^{4} -4y^{2}" alt="36x^{4} -4

irinina [24]

Sorry for the hand writing. But you want to factor out a 4y^2 which will result in (9y^2-1). Then you will factor out the equation in parentheses to (3y-1)(3y+1). Don’t forget to put the 4y^2 out front!

8 0

3 years ago

Read 2 more answers

Please help me with this problem! y = 37 39 51

nika2105 [10]

y = arctan(8/10)

y = 38.65

y = 39

8 0

3 years ago

Read 2 more answers

Cam was bom weighing 8.6 pounds. Every day, he gained the same amount of weight. After 30 days, he weighed 14.9

guajiro [1.7K]

Answer:

So I'm not entirely sure about this one, but I believe he gained 0.21 pounds each day for 30 days

Step-by-step explanation:

Since Cam was born weighing 8.6 pounds and after 30 days weighed 14.9, subtract 14.9-8.6 to find how much he gained.

14.9 - 8.6 = 6.3

Now that we know how much he gained, we have to find out how much he gained per day for 30 days. To do this, divide 6.3 by 30

6.3 / 30 = 0.21

To make sure this answer is correct, multiply 0.21 by 30 and add that to 8.6. It should equal 14.9.

I hope this helps!

7 0

3 years ago

Read 2 more answers

Julie made identical necklaces out of shell she collected at the beach all together she we use 10 Brown shells 15 black shells a

Lelu [443]

Answer:

Therefore the number of brown shells in each necklace was = 2 brown shells.

Step-by-step explanation:

If Julie made identical necklaces then we can say that number of each different colored shells were equally distributed among the necklaces.

So we can say that to find the number of necklaces we have to find the GCD (greatest common denominator) of the different colored shells.

Therefore the GCD of 10, 15 and 20 is 5.

Therefore Julia made 5 necklaces.

Therefore the number of brown shells in each necklace was = $\frac{10}{5}$ = 2 shells.

4 0

4 years ago