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)
Answer:
A.Wind because it has the lowest predicted frequency.
The percent of time the photographer spent negotiating with the bison greater than the time he spent taking pictures is 500%
<h3>Percentage</h3>
- Time spent taking pictures = 5 minutes
- Time spent negotiating = 30 minutes
Percentage of time negotiating greater than taking pictures = (difference in time) / time to take pictures × 100
= (30 - 5) / 5 × 100
= 25/5 × 100
= 5 × 100
= 500%
Learn more about percentage:
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Answer:
64x²y
Step-by-step explanation:
16x × 4xy = 64x²y
