We know that
the equation of the parabola is of the form
y=ax²+bx+c
in this problem
y=1/4x²−x+3
where
a=1/4
b=-1
c=3
the coordinates of the focus are
(-b/2a,(1-D)/4a)
where D is the discriminant b²-4ac
D=(-1)²-4*(1/4)*3-----> D=1-3---> D=-2
therefore
x coordinate of the focus
-b/2a----> 1/[2*(-1/4)]----> 2
y coordinate of the focus
(1-D)/4a------> (1+2)/(4/4)---> 3
the coordinates of the focus are (2,3)
Answer:
-2
Step-by-step explanation:
1) Look at the y-intercept. The line crosses the y-axis at (0,7)
Follow it down, it goes down two and over one to directly intersect the grid.
Rise over run = 2/1
2/1 = 2
However, the line is negative, as it's sloping down from the left to the right, making the slope -2
Answer:
1. Typed question: 175 green eggs
2. Attached: 22 tables
Step-by-step explanation:
For the question you typed down, it is a ratio and proportion problem. You need to solve for the ratio proportional to the first ratio given.
4 blue eggs are filled for every 7 green. This means that the ratio between blue eggs and green eggs is 4:7.
Now yo need to figure out a ratio proportional to 4:7 if 100 blue eggs were filled. Below is how this is set up:

Now let's solve for x:

For your attached problem:
You have a total of 175 people, you need to figure out how many round tables you need if here are 8 chairs for each table You just need to divide the number of people by the number of chairs per table.
175 ÷ 8 = 21.9 tables
Now since you cannot have half a table, you round up to the nearest whole number. (we round up because you need to make sure that all of them are seated)
21.9 ≅ 22 tables.
D, you have to factor 3 out of 6x squared
Mm is the unit used to measure film size. It stands for millimeter.
The standard film size is 35 mm. The standard frame size of a still camera film was 24 x 36 mm.
mm is the smallest unit to measure length of an object. It is followed by cm then in and so on.
1 cm = 10 mm
1 in = 2.54 cm
1 in = 25.4 mm