Answer:
2x^2 - x - 15 = 0.
Step-by-step explanation:
In factor form this is
(x + 5/2)(x - 3) = 0
x^2 + 5/2x - 3x - 15/2 = 0
x^2 - 1/2x - 15/2 = 0
Multiply through by 2:
2x^2 - x - 15 = 0.
Volume= 37. 7
V=π r² h/3 = π · 22 · 9/3 ≈37.69911
I hope this helps!
Explanation is in a file
bit.
ly/3a8Nt8n
Answer:
There are (63) combinations. The notation means "six choose three". Out of six items (flavors) choose three.
(nk)=n!k!(n−k)!.
(63)=6!3!3!.
Think of it this way. There are 6 ways to choose a flavor. Once you choose, there are 5 ways to choose the next. After that, there are 4 flavors left. which is 6!/3!=6⋅5⋅4⋅3⋅2⋅13⋅2⋅1=6⋅5⋅4=120.
But, you could have chosen {chocolate,vanilla,strawberry} and you get the same combination as {vanilla, strawberry, chocolate} so we have to divide by 3!=3⋅2⋅1=6 to account for the order of choosing.
So the number of combinations of flavors is (63)=1206=20.
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