Answer:
"They organize data and can reveal relationships, making it easier to write equations that describe the patterns."
Step-by-step explanation:
(1.6666667)x+(.5)=0
1.6666667x=-.5
1.6666667x/1.666667=-.5/1.6666667
x= -.5/1.6666667
x=.3
<span>The vertex of the parabola is the highest or lowest point of the graph.
</span><span>y=-4x^2+8x-12 = -4 (x^2 -2x +3)
Lets work with this now: </span>x^2 -2x +3
x^2 -2x +3 -> what is the closeset perfect square?
x^2 -2x +1 = (x-1)^2
So
x^2 -2x +3 = (x-1)^2 +2
Replacing to original
y=-4x^2+8x-12 = -4 (x^2 -2x +3) = -4 ((x-1)^2 +2) = -4 (x-1)^2 - 8
The min or max point is where the squared part = 0
So when x=1 , y= -4*0-8=-8
This will be the max of the parabola as there is - for the highest factor (-4x^2)
The max: x=1, y= -8
The scenario that matches with the linear relationship shown in the table is option 2:
"Shanna had $ 10 in her piggy bank and earned $ 5 each week in allowance"
You could see that I had $ 10 initially in week zero and every two weeks I had $ 10 more. Therefore it can be inferred that every two weeks has won $ 10, that is, $ 5 each week