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3 years ago

9

What is the recursive formula for 3,7,11,15,...

1 answer:

scoundrel [369]3 years ago

8 0

Arithmetic sequence: a_n=a_1+(n-1)d where: d = common difference between terms; n = term; a_1 = first term of sequence a_n = 3+(n-1)4 = 3+(4n-4) = 4n-1 Therefore, a_50 = 4(50)-1 = 200 - 1 = 199

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kodGreya [7K]

Answer:

$y=-2\,(x+3)^2-3$

Step-by-step explanation:

Notice that they are asking you to write the equation of the parabola in vertex form, that is using the coordinates of the vertex $(x_v,y_v)$ in the expression:

$y-y_v=a\,(x-x_v)^2\\y=a\,(x-x_v)^2+y_v$

we can start by directly replacing the given vertex coordinates (-3, -3) in the expression, and then using the extra info on the point the parabola goes through in order to find the parameter $a$ :

$y=a\,(x-x_v)^2+y_v\\y=a\,(x+3)^2+(-3)\\y=a\,(x+3)^2-3\\-5=a\,(-2+3)^2-3\\-5=a\,(1)-3\\a=-5+3\\a=-2$

So, now we can write the full expression for the parabola:

$y=a\,(x+3)^2-3\\y=-2\,(x+3)^2-3$

8 0

3 years ago

Is 2/13a repeating decimal

Veseljchak [2.6K]

Answer:

No

Step-by-step explanation:

2/13=0.15384615

6 0

3 years ago

23--2c=41 sorry last question

svlad2 [7]

C=9 np if u need anymore I gotchu

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3 years ago

Read 2 more answers

Solve 3(x+3) >4(x-4)

frutty [35]

3 X + 9 is greater than 4 x minus 16

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6 0

4 years ago

Find the volume of the sphere. Either enter an exact answer in terms of pi or use 3.14 for pi and round your final answer to the

olya-2409 [2.1K]

Step-by-step explanation:

Hello there!

Use the formula for the volume of a sphere:

$v=\frac{4}{3} \pi r^1\\V=\frac{4}{3} \pi9\\\\ V=12\pi =37.699111$

There is your answer!

:)

5 0

3 years ago