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a+b+c=89,
a-b =2(b-c),
b+c =a + 3, solve for a, b, c
Use substitutions to get:
a =43,  b = 27  and c =19

thank you guest!!

thank you!! that helped a lot :))

Ahh, so it converges it must be less than one or a negative. And if it diverges, it must be greater than one. That makes a lot more sense! Thank you so much! 

2.09691+0.90309 = 3

1/10 + 1/2 + 1/5 = 1/10 + 5/10 + 2/10 = 8/10

Thus 2/10 of the total is 30.

30* (10/2) = 150

1/10 * 150 = 15

15 are green.

If you don't understand anything feel free to ask!

Just two. If you only do one, then it can be in any direction.

If two, you can figure out the whole line. Three isn't necessary.

if you are looking for a plane then 3 dots, 4 for 4th dimension, etc.

You add up all the possible combinations of  the sums of any two dice, sort them in numerical order and see how many "6's" are possible out of a total of 6^2 = 36. if you do that, this is what you will see:

(2, 3, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 11, 11, 12) Total =>> 36

Count the number of "6's" and you get: 5 / 36.

Since you determined the common difference of 5/4 and since there are no "-" signs in the sequence, it could only mean one thing. That each subsequent term is bigger than the previous term by 5/4, hence you must come to the conclusion that it will eventually diverge, or become bigger and bigger as terms tend to infinity.

The circumference of the circle is 30π. (π * diameter). The length of the arc is 1/4 the length of the diameter because 4(15π/2)=30π. Now it is easy to see that the angle AOB, where O is the center of the circle, is 90˚. Now we just need to use the pythagorean theorem to solve a triangle with 2 legs of length 30 to get 30sqrt2.

Hope this was helpful!

4^3x = (4²)^2x+1

equate the exponents

3x = 2(2x+1)

3x = 4x+2

x = -2

The second part is asking "what more specific information do we need about the roots in order to know for certain if f(x) divides g(x) evenly?" The reason why you need to know the multiplicity (the number of times the roots shows up in the factorization) is because a polinomial could be something like (x+10)³ which has -10 as a zero and another polynomial could be (x+10)(x+17). it also has a zero at 10, but (x+10)³ obviously does not go into the other polynomial. This is not a proof because it is not general, but i hope it can further put you on the right track. Sorry for not getting back sooner, hope this is still useful!

Mentally you are closer to 5.

The answer to that is 63, sqrt of 254254 is about 504 and sqrt 62 is about 8. 504/8=63 

So am I basiccaly 9 years old then?

M = moms age now      this is given as 27 + Your age now  

8 years ago   your mom was 8 years younger   this means she was  27+ Y  - 8

in 5 years you will be   Y+5      two times this is   2 (Y+5) = 2Y + 10     and this equals   27+Y-8

27+Y - 8 = 2Y + 10     simplify

19 + Y = 2Y + 10     subtract 10 from both sides of the equation

Y + 9 = 2Y               subtract Y from both sides

9 = Y   

Please could you make this more simple as I am in year 5 and you are obviouslly really good a maths and I do not understand this at all.#

If I understand your question, you take the absolute value of any 2 terms for the next term. Unless I goofed somewhere, this is what your sequence looks like:

sum(88, 24, 64,  40, 24,  16,  8,  8,  0,  8,  8,  0,  8,  8,  0,  8,  8,  0,  8,  8,  0,  8,  8,  0,  8,  8,  0,  8,  8,  0,  8,  8,  0,  8,  8,  0,  8,  8,  0,  8,  8,  0,  8,  8,  0,  8,  8,  0,  8,  8,  0,  8,  8,  0,  8,  8,  0,  8,  8,  0,  8,  8,  0,  8,  8,  0,  8,  8,  0,  8,  8,  0,  8,  8,  0,  8,  8,  0,  8,  8,  0,  8,  8,  0,  8,  8,  0,  8,  8,  0,  8,  8,  0,  8,  8,  0,  8,  8, 0, 8)=760

Note: Check it carefully!

M = age now = Y + 27

M-8 = 2(Y+5)

Y+ 27 -8 = 2Y + 10

Y = 9 y/o

\(\frac{3\sqrt2+2\sqrt3}{6}\) or (3√2+2√3)/6

Read about inscribed angles in a circle

   the arc the angle intercepts (50^o ) is TWICE the angle measure........soooooooo......

j/b * m/j  = m/b

3/7 * 5/2 = 15/14     

The answer is     (11-1) / (11-8)  

                     *** deleted ***

This equation proves your point:     sqrt (5+x)² = sqrt [ 5² + (10-x)²]