Look across the table and see where f(x) = (g(x)
at x = -1 f(x) = 1 g(x) = -7 not equal
continue on down the table to find all of the values of x that result in f(x) = g(x)
( there are more than one value of x where this is true!)
Slope = rise/run = y1-y2 / x1-x2
= (2-4) / ( -1 -3)
= -2 / -4 = .......
Boys make up 5 / (5+3) = 5/8 of the group girls make up 3/8
5/8 x = 16 + 3/8 x (given)
2/8 x = 16
x = 64 in the group 5/8 are boys 5/8 * 64 = 40 boys
a^2 = k / b^3 to find the proprtionality constant , k , sub in the given values
7^2 = k / 3^3
k =1323
a^2 = 1323/6^3
a = 2.475 ( taking the positive root)
100/8 = 12.5 or 12 1/2 8's 'go into' 100
speed 1 = x
speed 2 = x+5
rate * time = distance
(x + x+5 ) * 3 hr = 423 m
x = 68 the other car is 73 m/hr
25 m /7 m/hr + 25 m /52m/hr = 4.05 hr
50 m / 4.05 hr = 12.34 m/hr
18 x 22 = 396 m^2 1152 -396 = 756 m^2
the rest is walkway 2 segments 22 * x + 2 segments 18 *x + four corners 4 * x * x
2 * 22x + 2 * 18x + 4x^2 = 756
4x^2 +80x - 756 = 0 Quadratic Formula yields x = 7 or -27 (throw out)
Width = 7 m
#multiple choice = m mult choice points = 2m
#short answer =43-m short answer points = 3(43-m) summed , they should = 100 points
2m + 3 (43-m) = 100 solve for m, the number of mult choice q's then short answer# = 43-m
m
s = 5 m
l = 2 + 3m this is all given.....they should sum to 560
m + 5m + 2 + 3m = 560 solve for m, the number of medium....then s = 5m and l = 2 + 3m
