JUst put '3' where 'x' is in the equation:
Attendance (in thousands)March=3 = -24(32) + 335(3) -133 ( Because I think you left off x^2 for the -24 part)
= -24(9) = 335(3) - 133 = ............ thousand
Here is a start:
(r-2)(s-2).= rs -2r-2s+4
= rs -2 (r+s) +4 Are you familiar with Vieta's formulas for quadratics???
Vieta's for quadratics : r + s = -b/a =19
and rs = c/a = 9
rs -2 (r+s) +4 =
9 -2(19)+4 = -25
13a^3 + 87a^2
(a)( a) ( 13a + 87)
Use distance formula between these points to find length of one side of the square.....then multiply by 4 sides
sqrt( 5^2 + 12^2 ) = 13 units side length .....you can finish....
Expand L side add to R side to get
9x^2 + 36x + 32 factor to get
(3x+8)(3x+4)
Not what the question asked for ....but nice solution! If you just drop the '6' from your final answer you will get 3:8 as the answer...Lev to Naomi ages.
Maybe you meant 'factor' it ?
(2x-4)(x-1)
( x * x1/3 )1/3
(x4/3)1/3
x4/9
First, check to see if the ratios are correct
12 / (1.5) = 8
14/ (1.25) =11
5/1/2 = 10
The most Ramon can make is 8 batches of cookies.....with butter and sugar left over
8 batches * 15 cookies / batch = 120 cookies
L/M = 1/2
M/N = 3/4
l/m * m/n = l/n = 1/2 * 3/4 = 3/8
