It is given that there are 41 males and 48 females in the small school.
So, the number of ways a male student can be chosen from 41 males is 
Likewise, the number of ways a female student can be chosen from 48 females is
.
Thus, the total number of ways in which 2-person combinations are possible to represent the student body at the PTSAC meetings will be given by:

Answer:
one equation would be S+ L=36for the number of shirts sold.
Answer:
x³ - 8x² - 11x + 148
Step-by-step explanation:
Given that x = 6 + i is a root then x = 6 - i is also a root
Complex roots occur as conjugate pairs.
The factors are therefore (x - (6 + i)) and(x - (6 - i))
Given x = - 4 is a root then (x + 4) is a factor
The polynomial is the product of the factors, that is
p(x) = (x + 4)(x - (6 + i))(x - (6 - i))
= (x + 4)(x - 6 - i)(x - 6 + i)
= (x + 4)((x - 6)² - i²)
= (x + 4)(x² - 12x + 36 + 1)
= (x + 4)(x² - 12x + 37) ← distribute
= x³ + 4x² - 12x² - 48x + 37x + 148
= x³ - 8x² - 11x + 148
Answer:
A) L = W + 6
B) L * W = 167 OR L = 167 / W
Substituting B) into A)
167 / W = W + 6
Multiplying both sides by "W" we get
167 = W^2 + 6W
W^2 + 6W -167
Solving by the quadratic formula
Width = 10.266
Length = 16.266
Step-by-step explanation:
Answer:
x-intercept - x = 1/2y - 3.15
y-intercept - y = 2x + 6.3
Step-by-step explanation:
For x,
-6x + 3y = 18.9
-6x = -3y + 18.9
x = -3y/-6 + 18.9/-6
x = 1/2y - 3.15
For y,
-6x + 3y = 18.9
3y = 6x + 18.9
y = 6x/3 + 18.9/3
y = 2x + 6.3