To find the x intercepts, we need to put the standard form equation into factored form.
Which two numbers multiply to -8 and add to -2?
So the factored form is
That means the x intercepts are at 
So now we have the x intercepts.
To find the vertex, we need to convert the standard form equation into vertex form.
The formula of vertex form is 
Since the a value in the standard form equation is 1, the a value in vertex form is also one.
The h value can be found using the formula 
Which comes out to 
or 1.
To find the k value, we can just plug in what we got for h back into the equation.
So the vertex is 
.
This also means the axis of symmetry is 
Finally, to find the y intercept, we plug in 0 for x and solve.
So the y intercept is 
.
This is because of the order of operations:
Parentheses
Exponent
Divide
Multiply
Add
Subtract
Note that parentheses are the first, so it will affect everything after it.
Examples:
2(5+4)= 2x9= 18
(2x5)+4= 10+4= 14
5/(2+3)= 5/5= 1
(5/2)+3= 2.5+3= 5.5
Answer:
The F-Ratio increases as, the variability between means increases relative to the variability within groups
Step-by-step explanation:
The F-Ratio is given as follows;
Where;
= The variance between groups
= The variance within groups
Therefore, as the F-Ratio increases, the variability between groups (means) increases relation to the variability within groups
If there is a 5% drop every month, then the class becomes 1-5%=1-0.05=0.95 times the previous size.
The formula for
months would be
so for 12 months it would be
