A) zeroes
P(n) = -250 n^2 + 2500n - 5250
Extract common factor:
P(n)= -250 (n^2 - 10n + 21)
Factor (find two numbers that sum -10 and its product is 21)
P(n) = -250(n - 3)(n - 7)
Zeroes ==> n - 3 = 0 or n -7 = 0
Then n = 3 and n = 7 are the zeros.
They rerpesent that if the promoter sells tickets at 3 or 7 dollars the profit is zero.
B) Maximum profit
Completion of squares
n^2 - 10n + 21 = n^2 - 10n + 25 - 4 = (n^2 - 10n+ 25) - 4 = (n - 5)^2 - 4
P(n) = - 250[(n-5)^2 -4] = -250(n-5)^2 + 1000
Maximum ==> - 250 (n - 5)^2 = 0 ==> n = 5 and P(5) = 1000
Maximum profit =1000 at n = 5
C) Axis of symmetry
Vertex = (h,k) when the equation is in the form A(n-h)^2 + k
Comparing A(n-h)^2 + k with - 250(n - 5)^2 + 1000
Vertex = (5, 1000) and the symmetry axis is n = 5.
To find the area of this figure, there is two choices
1. cut it into 3 rectangles.
2.find the missing rectangle in the middle......
I likes 2 better $_$ :}
find the missing area in the middle, 12* 23 = 276
the area of the whole figure 31*69-276=1863m²
2x+3x=
X is simply a letter
A triangles three angles always sum up to 180 degrees. We must find angle B.
We already have angle A and C, so it's quite simple.
Angle A is 28*, and angle C is 36*
We add these two together
28 + 36 = 64
Now we subtract
180 - 64 = 116
Angle B = 116*
Hope this helps you! (:
-Hamilton1757
Bowling ball radius = 108 mm
Sphere Volume = <span> 4/3 • <span>π <span>• r³
bowling ball volume = 4/3 * PI * 108^3
</span></span></span><span>bowling ball volume = 5.2767e+6
</span>
<span><span>bowling ball volume = 5,276,669 cubic mm
baseball radius = 37 mm
baseball volume = </span>4/3 * PI * 37^3
</span><span><span>baseball volume = 4/3 * PI * 37^3
</span>
</span>
<span>baseball volume = 212,174 </span><span>cubic mm
bowling ball greater than baseball by a factor of:
</span>
5,276,669 / <span>212,174 = </span>
<span>
<span>
<span>
24.8694450477
</span>
</span>
</span>
answer is D
