We factor the equation to get:
-(x-25)^2+361
In the form a(x-h)^2+k, the vertex is (h, k), so the vertex is (25, 361). This means that the studio makes the most profit from selling 25 memberships, and thus makes 361 dollars.
B. The x-intercepts are the values of x for which f(x) is 0. This equation can be factored as (-a+6)(a-44)=0, with solutions 6 and 44. Therefore, by selling either 6 memberships or 44 memberships, the studio breaks even, neither making nor losing money.
Answer:
53.54m
Step-by-step explanation:
Using the formulas
A=πr2
d=2r
Solving for d
d=2A
π=2·2251
π≈53.53562m
Answer:
<h2>0.15 inches per month</h2>
Step-by-step explanation:
step one:
This problem is focused on the growth rate of a plant.
given data
the plants grow 5 inches in 34 months
and also that 1 month= 4 weeks
step two:
We can still say that
if 34 months see a growth of 5 inches
then 1 months will be X inches
cross multiply we have
X= 5/32 inches
step three:
converting this number to decimal we have
X= 0.15 inches per month
Therefore the growth rate would be
0.15 inches per month
Answer:
3 cars
Step-by-step explanation:
If 12 cars are needed to carry 36 students,
<em>12</em><em>c</em><em>a</em><em>r</em><em>s</em><em> = 36</em>
the number of cars to carry 9 students will be:
xcars = 9
cross the two equations
36x = 12 X 9
36x = 108
x = 108/36
x= 3
Therefore, 3 cars are needed to carry 9 students
OR
12 cars will carry 36 students
so 1 car will carry, (36/12)students
therefore, 1 car will carry 3 students
So, for 9 students,
9students = 9/3 = 3
Answer:
5 3/4
Step by step explanation:
Find a common denominator in this case is 4 so instead of adding 2 1/2 to 3 1/4 it’s going to be 3 1/4 + 2 2/4 which gets you 5 3/4