Answer:
f(x) = -(x-4)^2 + 5
Step-by-step explanation:
The function
is a quadratic function. Its graph looks like a parabola. The graph has a vertex of (4,5) and opens up downward.
Proving that
for all x:

Answer:
90
Step-by-step explanation:
100%-10%=90%
90%->81
10%->9
100%->9+81=90
The hundredths place is the number two to the right of the decimal(so the one in 0.01). The value would be 4.
Answer:
Yes, the price the school pays each year in entrance fees is proportional to the number of students entering the zoo
Step-by-step explanation:
Relationships between two variables is proportional if their ratios are equivalent.
In 2010, the school paid $1,260 for 84 students to enter the zoo.
Ratio of the price the school pays each year in entrance fees to the number of students entering the zoo = 
In 2011, the school paid $1,050 for 70 students to enter the zoo.
Ratio of the price the school pays each year in entrance fees to the number of students entering the zoo = 
In 2012, the school paid $1,395 for 93 students to enter the zoo.
Ratio of the price the school pays each year in entrance fees to the number of students entering the zoo = 
As
,
the price the school pays each year in entrance fees is proportional to the number of students entering the zoo.
The <em><u>correct answer</u></em> is:
Negative.
Explanation:
Scientific notation is used to express very small or very large numbers.
Very small numbers are written in scientific notation using negative exponents.
Very large numbers are written in scientific notation using positive exponents.
Since a ladybug is very small, we would use the very small scientific notation, which uses negative exponents.