we have
Find the roots
Equate the function to zero
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Complete the square. Remember to balance the equation by adding the same constants to each side.
Rewrite as perfect squares
Square root both sides
therefore
<u>the answer is</u>
Answer:
- <em> 15</em>
- <em> 42,250</em>
Step-by-step explanation:
The given function is,
where,
P = the total production of apples,
x = the number of trees added.
As the quadratic function has a negative leading coefficient, so it will open downward and at the vertex the value of function is maximum.
The vertex will be at
The value of the function will be maximum at,
Putting the values,
So at x=15 or for 15 number of trees the production will be ,maximum.
Putting x=15 in f(x) will yield the maximum production of apples.
Answer: 120 schools
Step-by-step explanation:
3,120 students competed in a statewide athletic competition and each participating school district sent 26 students to the athletic competition.
Total number of students= 3120
Total students sent by each school= 26
Number of participating school districts= Total number of students ÷ he students sent by each school
= 3120 / 26
= 120 students
There are 120 participating schools in the competition
Answer:
The correct option is B.
Step-by-step explanation:
The amount of money, in dollars, in a savings account after x years is given by
This above equation represents that $10000 becomes M(x) after x years at a rate of interest 3% compounded in each year.
Therefore, the value in the expression 1.03 represents that there is a 3 percent increase in the savings account each year.
So, the correct option is B. (Answer)