Answer:
Step-by-step explanation:
First we can determine the x value of our vertex via the equation:
Note that in general a quadratic equation is such that:
In this case a,b and c are the coefficients and so a=1, b=6 and c=13.
Therefore we can determine the x component of the vertex by plugging in the values known and so:
Now we can determine the y-component of our vertex by plugging in the x-component to the equation and so:
Therefore our vertex is (-3,4). Now in vertex our x component determines is the axis of symmetry so the equation for axis of symmetry is:
x=-3
Similarly, the y-component of our vertex is the minimum or maximum. In this case it is the minimum you can determine this because a is positive meaning that the parabola will point up, and so the equation for the minimum is:
y=4
The range of the formula is the smallest y-value meaning the minimum y=4 and all real numbers that are more than 4, mathematically:
Range = All real numbers greater than or equal to 4.
The top box on the page explains the idea completely.
You need to read the top box several times, and understand it.
A ratio is a comparison of two quantities by division.
1). Days in May: 31
Days in a year: 365
Their ratio: 31/365 .
2). Sides of a triangle: 3
Sides of a square: 4
Their ratio: 3/4 .
The middle box explains how two ratios can be equal,
and it gives you a very detailed example. You should
read the middle box and understand it.
Ratios are fractions. They can be equal in just the same
way that any two fractions can be equal.
And you can simplify ratios in exactly the same way that
you simplify fractions ... divide top and bottom both by
the same number.
3). 8/12 Cook up three equal ratios.
1. divide top and bottom by 2 . . . . . 4/6
2. divide top and bottom by 4 . . . . . 2/3
3. multiply top and bottom by 9 . . . . 72/108
These are just some that I chose.
There are millions of others.
4). 20/25 Cook up three equal ratios.
1. divide top and bottom by 5 . . . . . 4/5
2. multiply top and bottom by 4 . . . . 80/100
3. multiply top and bottom by 3 . . . . 60/75
These are just some that I chose.
There are millions of others.
5). 5/6 Cook up three equal ratios.
1. multiply top and bottom by 2 . . . . 10/12
2. multiply top and bottom by 3 . . . .
3. multiply top and bottom by 9 . . . . 45/54
These are just some that I chose.
There are millions of others.
6). 10/14 Cook up three equal ratios.
1. divide top and bottom by 2 . . . . 5/7
2. multiply top and bottom by 2 . . . .
3. multiply top and bottom by (you choose) . . . .
if you take the radius of the first and second sphere you find that they are doubled there fore the volume changed at a rate of 2 squared because 2 is what the radius was multiplied by going from the second sphere to the first so you would square what the sphere was multiplied by there fore making your answer: the volume is compares with 2 squared
Hello!
1 quart=4 cups
4(4)=16
1/4(4)=4/4
16+4/4=16 4/4
Our final answer is 16 4/4 cups.
I hope this helps!
I would use is over of equals percent over 100 is woudl be 120% and of would be 75 then you would put x over 75
