Answer:
Procedure:
1) Form a system of 3 linear equations based on the two zeroes and a point.
2) Solve the resulting system by analytical methods.
3) Substitute all coefficients.
Step-by-step explanation:
A quadratic function is a polynomial of the form:
(1)
Where:
- Independent variable.
- Dependent variable.
,
,
- Coefficients.
A value of
is a zero of the quadratic function if and only if
. By Fundamental Theorem of Algebra, quadratic functions with real coefficients may have two real solutions. We know the following three points:
,
and 
Based on such information, we form the following system of linear equations:
(2)
(3)
(4)
There are several forms of solving the system of equations. We decide to solve for all coefficients by determinants:







And finally we obtain the equation of the quadratic function given two zeroes and a point.
Hi there
First find the future value using the compound interest formula
The formula is
A=p (1+r/k)^kn
A future value?
P present value 1800
R interest rate 0.032
K compounded weekly 52
N time 10 years
A=1,800×(1+0.032÷52)^(52×10)
A=2,478.59
Now find the interest earned
I=A-p
A future value 2478.59
P present value 1800
So
I=2,478.59−1,800
I=678.59
It's b
Good luck!
Answer:
The answer would be 70.2.
Step-by-step explanation:
You just have to replace the x in the equation with a 2 because x=2.
<u>Answer:</u>
5 hours was Aaron at the sitter
<u>Explanation:
</u>
Cost of baby sitting for the first hour: 10
Cost of baby sitting for additional hour= 12
Total cost of babysitting= 58
Since the cost of first hour is 10
Hence the remaining cost after first hour
= 54-10
=48
Which means 1 hour is consumed in the first hour
Now to calculate the remaining hours for every additional hour
= 
=4 hours
Hence the total hour Aaron was with the sitter
= 1 hour + 4 hours
= 5 hours