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if this question's already been answered, you can learn from the method they used and plug in the new numbers you have.

if you're still confused, i can give this problem a shot :)

Yay   ....thanx for the feedback...it is nice to know sometimes, when doubtful of my answers, that the answer was correct !

yes that is correct tysm!!!

(not positive of this)

TO be positive   both a and b  must be negative   OR   both  a and b must be positive

a neg  * b neg

3/4      *  2/6    =    3/12            because 3/4 of the a range is negative and 2/6 of the range of b is negative

a pos  *  b pos

1/4     *   2/6     = 2/12

3/12    +   2/12   = 5/12

See this answer to figure this out:

https://web2.0calc.com/questions/help-geometry_124#r1

Triangle side length rule says the sum of any two sides must be greater than the remaining third side

17 +11 >  b       b<28

11+b > 17          b > 6

17 + b > 11        any 'b'         so        6 < b < 28      means the largest b would be   27    

Check it now! 

3/4 t    =    2/3 h        means    h = (3/2)(3/4)t = 9/8 t 

h+ t = 408     sub in the red value above for 'h'    and then solve for 't'

For this to occur, the discriminant of the quadratic formula,  b^2 - 4ac , must be <0

(-m)^2 - 4 (3)(21) <0

m^2 < 252

m<15.87              So the answer would be ________

HOLY C**P--- THANK YOU SO MUCH!! I was able to understand the explanation that the website gave me ^^

tysm!! you're a lifesaver :))

Diagram?

Y= mx + b       m = slope    b = y -axis intercept

m = slope = rise / run = (y1- y2) / (x1-x2) = 6/7

y = 6/7 x + b      now sub in either of the two points given to calculate the value of 'b'

-11 = 6/7 (5) + b        b = -107/7

your line is then     y = 6/7 x   - 107/7

There are 245 different grids.

# of ten dollar increase in tix price = x

revenue =  (40 000 - 100x)(200 + 10x)

                   ( 8 000 000 + 400 000x - 20 000x - 10 000x^2 )    

                    (-10 000 x^2 + 380 000 x + 8 000 000)          this is a dome shaped parabola (due to the negative coefficient for x^2)

                               max will occur at x = -b/2a     =   380 000/ (10 000(2)) = 19  

19 ten dollar increases will make ticket price = 200 + 190 = 390 dollars

The answer is 12.

explain.

There are C(4,2) = 6 ways to choose the two moves to the red spot.  The probability of moving to a red spot is 1/4, and since we have two moves the probability is 1/16.

There are C(4,3) = 4 ways to choose the three moves with an arm.  Each arm happens with probability 1/2, so the total is 1/8.

The cases are independent, so we multiply them to get 6*1/16 + 4*1/8 = 3/16.

Thanks! 

TU = 17/2.

There are 2025 pairs (a,b).

a^2 = 24.

I THINK there are 24 possible delivery combinations

...for exactly two to be correct:

1 1 x x

x 1 1 x

x x 1 1

1 x x 1

1 x 1 x

x 1 x 1            6 ways to deliver two correctly      6 / 24 = 1/4

Formula for a  n-gon sum of interior angles   (n-2)(180)

   (n-2)(180) > 1970

n > 12.94

n =13    as a convex polygon has angles < 180 degrees      example: n= 14 would = 2160     which is 190 more than 1970 

How many two-digit numbers have non-zero digits whose sum is prime?     

I don't know a way to do this except by brute force. 

What "brute force" means, in mathematics, is that you just try everything. 

Like so: 

12, 14, 16 

21, 23, 25, 29 

32, 34, 38 

41, 43, 47, 49 

52, 56, 58 

61, 65, 67 

74, 76 

83, 85, 89 

92, 94, 98 

I stacked them like that to see if I could detect a pattern.  I couldn't. 

I made this list quickly in my head so I might've missed one/some. 

If I didn't overlook one/some, the total is 28.  Check my work.    

_.