Answer:
Step-by-step explanation:
Fraction of the floats that belongs to sports team =
=
Therefore, fraction of floats that were not from a sports team = 1 - fraction of floats that belongs to sports team
= 1 -
=
rd fraction of Parade Float were not from a sports team.
Look at my attachment to see the four functions on the graph.
f --> g . . . . . shift the graph down one unit
f --> h . . . . . shift down 2 units, and double the slope
f --> d . . . . . shift up 2 units, and reduce the slope by half
0.83333333333333 that would be your answer
Answer:
C. (3,15) and (4, 12)
Step-by-step explanation:
Given the system of linear equations
y = -x² + 4x + 12 and y=-3x + 24
Since both equations represents the variable y, we will equate both of the equations together.
Step 1: Equating both equations together we have;
-x² + 4x + 12 = -3x + 24
-x²+3x+4x+12-24 = 0
-x²+7x-12 = 0
x² -7x+12 = 0
x²-4x-3x+12 = 0
x(x-4)-3(x-4)= 0
x-3(x-4) = 0
x = 3 and 4
Step 2: substitute x = 3 and 4 into any of the equations to get the value of y. Using equation 2
when x = 3, y = -3(3)+24
y = -9+24
y = 15
when x = 4, y = -3(4)+24
y = -12+24
y = 12
The solutions yo the system of equations are (3,15) and (4, 12)
In order to get 1/4th of the sugar:
(1/3)*(1/4)=1/12 cups of sugar