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:
The record alligator is
feet longer than the alligator Taylor saw.
Step-by-step explanation:
Taylor saw an American alligator at a zoo that measured
feet long. The record length of an American alligator is
feet long. How much longer is the record alligator than the alligator Taylor saw?
For this first convert the mixed fraction into an improper fraction.


Now subtract
from
.

Hence, the record alligator is
feet longer than the alligator Taylor saw.
Answer:
4.5 cups
Step-by-step explanation:
Answer:
The dimension of the rug would be 17 ft × 9 ft.
Step-by-step explanation:
Given
length of the room = 27 ft.
width of the room = 19 ft.
suppose, she leaves a uniform strip of x ft. around the rug.
So,
The length of rug = (27-2x)ft.
Width of rug= (19-2x)ft.
∴ Area of the rug= length×width



According to the question,

( subtract 153 both sides)



( Middle term splitting)



or
( zero product property)
or 
if x=18, dimension would be negative ( Not possible)
Thus, x= 5
Hence,
length of rug= 27-10=17 ft.
width of rug= 19-10=9 ft.
Answer:
1410
Step-by-step explanation:
-6 times 5 is -30
47 times -30 is -1410