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y   =  -6x^2  -  1

This is a parabola  that opens downward....it has no minimum

Notice  that  y  will be a maximum when  x  = 0

So.....the  max occurs at    (0, -1)

Here's a graph to verify this  :

https://www.desmos.com/calculator/4i2zlzorca

16.

The sum is given by

2 [  1  - (1/3)^15 ] /  [ 1  - 1/3 ]   =   3   {rounded }  

17.  The total distance is given by

20 [ 1 - (2/5)^(n )]  /[ 3/5 ] -10   where n  is the nth bounce

So ....for the 5th bounce we have

t10 + 20 [ 1 - (2/5)^(5)] [ 3/5 ] =  22 + 124 / 125   ft

Thanks so much, CPhill!

14.

The first term is  3(1)  - 4  =   -1    and the last is  3(18) - 4  = 50

So....the sum is

[ -1 + 50 ] (18/2)  =  49 * 9   =  441 

15.  The first term is  3(1)  - 3  =   0     and the last is  3(10) - 3  =  27

So  the sum is  [ 0 + 27 ] * (10/ 2)  =  27 * 5   =  135

12.

There are 15 terms

The sum is   

(-15 + 195) * (15/2)  =  1350

13.   The second answer is correct

This is my thinking on this sequence!

The numerator is the natural counting number. The denominator is the "partition function", P(n), of that number, or the number of ways you can make up that number, since all the denominators listed are in perfect order of the P(n) sequence.

              1 = 1+0 = 1

              2 = 2+0, 1+1. = 2

              3 = 3+0, 2+ 1, 1+1+1. = 3

              4 = 4+0, 3+1, 2+2, 2+1+1, 1+1+1+1. = 5........and so on. So, the next few terms will be:

..............11/56, 12/77, 13/101, 14/135......and quickly escalates to very large denominators.

1.

The domain of both functions is the set of real numbers less than or equal to 0.

2.  When x  = -3.....function A  = -5     and Function B  = -2

So    g(-3)  >  f(-3)

4x + ay  = -8

2x + y  =  b

Multiply the second equatiion by 2   all the way through

4x + ay  = -8

4x + 2y  = 2b

This system will have infinite solutions  when  the   equations  are exactly the same......so....for this to happen    ⇒

a  =  2      and   b  =  -4

The letter  "m"

Function A has two x intercepts, (3,0)  and (1,0)

Function B,  y   = l x l - 2 , also has  two x intercepts  = (2,0)  and (-2, 0 )

So.....the have the same number of x intercepts......{ but not the same x intercepts }

i am to

Thanks dude!

The slope of the line is   [6 - 2 ]  /  [-2 + 6 ]  = 4 / 4  = 1

The equation of the line passing through these two points is

y  = 1 ( x + 2)  +  6

y = x  + 8 

To find the height of the triangle....find where the line intercepts the y axis....let x  = 0

y  =  0 +  8   =   8

To find the base of the triangle, let y  = 0

0  = x +  8

-8  = x         take the absolute value of this  =  8

So.....the area of the triangle is   (1/2) base * height  =  (1/2) * 8 * 8  =  

(1/2 * 64   =     

32 units^2

what grade are ya'll in? im a freshman!

I barrel race!

Cos^4(30) x 8 = 4.5 cm

agreed

whats your fave hobbie?

What comes once in a minute, twice in a moment, but never in a thousand years?

dang! it wasnt hard enough! but yes,that is correct!

Yesterday, today, tomorrow !!!

holy moses!

Here is a riddle, or rather, a math problem similar to yours but with a twist:

If you were to save $1 on day 1, $2 on day 2, $3 on day 3.........and so on for $100 on day 100, and you were to get interest on it at 1/2% per day, how much would you have at the end of 100th day?

Good luck!!