Answer:
<h2>x = -2, y = 1</h2>
Step-by-step explanation:
given the system of equations y=1/2x+2 and y=-2x+-3, since the 2 equations are functions of y, we will equate both equations together and calculate the value of x as shown
1/2x+2 = -2x-3
x/2+2x = -3-2
5x/2 = -5
5x = -10
x = -10/5
x = -2
Substituting x = -2 into any of the equation to get the value of y we have;
y = -2(-2)-3
y = 4-3
y = 1
The solution to the system of equation (x, y) = (-2, 1)
Let 4x = the girth (each side = x) Let y = the length
4x + y = 114 maximum y = 114 - 4x
volume = x^2 * y v = x^2 * (114 - 4x) v = 114x^2 - 4x^3 . . . . . . v is maximum (or minimum) when it's derivative = 0 v ' = 228x - 12x^2
228x - 12x^2 = 0 12x * (19 - x) = 0
x = 0 <=== this is obviously a minimum volume or x = 19 inches <=== for maximum volume
4x + y = 1144*19 + y = 114y = 38 <===
The largest volume is 19 x 19 x 38
The GCF of 27 and 45 is 9
so there will be 9 people in each row.......45/9 = 5 rows of bugle players and 27/9 = 3 rows of drummers
Answer:
308 cubic meters.
Step-by-step explanation:
7 x 4 x 11 = 308