Vertex is -b/2a. The variable b=2 and a=2. That finds the x coordinate of the vertex. Then to find the y coordinate you just plug the number you got for x (-1/2) into the equation. Like so:
y = 2x+2
y = 2(-1/2)+2
y = -1+2
y = 1
So your vertex is ( -1/2, 1 )
To graph your vertex you take your x coordinate (-1/2) and find it on the x axis of the graph (horizontal line). Then do the same for y (1) (on the vertical axis.
Now that you have your vertex graphed you can find out if it is minimum or maximum by looking at the direction in which the slope is going. If it goes in the positive direction (up) then it is a minimum since that is the lowest point that the line touches. If it is maximum it is opposite. The line faces down and the highest point the line touches is that point.
Step-by-step explanation:
<u>Let's turn each mixed fraction into an improper fraction:</u>
<u>Multiply:</u>
<u>Simplify:</u>
8 is your simplified product.
Answer:
y = -1/2x +1
Step-by-step explanation:
The y intercept is 1 (this is where it crosses the y intercept)
(0,1) and (2,0) are two points on the line
The slope is given by
m = (y2-y1)/(x2-x1)
= (0-1)/(2-0)
= -1/2
The slope is -1/2
The slope intercept form is y = mx+b where m is the slope and b is the y intercept
y = -1/2x +1
1:3 is the ratio to boys and girls. I know that 1/4 must be girls. 3/4 will be boys.
Divide 236 by 4.
236/4= 59
Multiply that by 3.
59*3= 177
177 of the students are boys.
I hope this helps!
~kaikers
Let the number of pants have to be made be x.
So,
9.55 * x = 525.00
x =
≈ 54.97
Thus, the number of pants have to be made are 54.
