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2 years ago

What is the formula for the following arithmetic sequence? -9 , -2 , 5 , 12

Mathematics

2 answers:

AURORKA [14]2 years ago

8 0

You add 7 to get the next number in the sequence:
-9 + 7 = -2; -2 + 7 = 5; 5 + 7 = 12; and so on.

nirvana33 [79]2 years ago

7 0

First term: -9
Common difference: 7

a(n) = -9 + 7(n-1), for n = {1, 2, 3, ... }

Check: what is the first term? let n=1. Then a(1) = -9 + 7(1-1) = -9.
This is correct.

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Write each function in standard form.<br> y = 3(x - 2)2^2- 4

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Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

What is the solution set of 2x(x - 1) = 3?

garik1379 [7]

First you must distribute the 2x to the numbers inside the parentheses

(2x * x) + (2x * -1) = 3

$2x^{2}$ - 2x = 3

To make this a quadratic equation you can solve bring the 3 over to the left side of the equation by subtracting it to both sides

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Use the quadratic equation to solve this (image of the quadratic equation is below)

Remember that quadratic functions are set up like so:

$ax^{2} +bx +c = 0$

That means that in this equation...

a = 2

b = -2

c = -3

^^^Plug these numbers into the quadratic equation and solve...

$\frac{2+/-\sqrt{(-2)^{2}-4(2)(-3)}}{2(2)}$

$\frac{2 +/-\sqrt{4+24}}{4}$

$\frac{2+/-\sqrt{28} }{4}$

$\frac{2+/-2\sqrt{7} }{4}$

$\frac{1+/-\sqrt{7} }{2}$

Keep in mind that +/- is ±

$\frac{1+\sqrt{7} }{2}$

$\frac{1-\sqrt{7} }{2}$

^^^Exact answers

Approximations:

1.823

-0.823

Hope this helped!

~Just a girl in love with Shawn Mendes

8 0

2 years ago

Help me help me help me asap

Ilia_Sergeevich [38]

Answer:

9 cubic feet

Step-by-step explanation:

Assuming that the garden box is a rectangular prism, its volume is:

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Hope this helps!

7 0

3 years ago

Read 2 more answers

Question 3 (Multiple Choice Worth 1 points)

artcher [175]

Answer:

Step-by-step explanation:

Horizontally:

Like reading = 32

Do not like reading = ?

Total = 58

Total = Like reading + Do not like reading

Do not like reading = Total - Like reading

= 58 - 32

= 26

Do not like reading = 26

Vertically:

Like gardening =

Do not like gardening = 23

Total = 49

Total = Like gardening + Do not like gardening

Like gardening = Total - Do not like gardening

= 49 - 23

= 26

Like gardening = 26

Therefore,

The missing number in the table is 26

7 0

2 years ago