Answer:
y=6
Step-by-step explanation:
y² - 10y + 24
factor: y - 4
24 / -4 = -6
y - 6 is the other factor.
(y-4)(y-6) ⇒ y(y-6) -4(y-6) = y² - 6y -4y + 24 ⇒ y² - 10y + 24
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(1) y=x-2
(2) y=x²-2
Then we deduce that x-2 = x²-2 ===> x²-x = 0 ==x(x-1) =0
so x = 0 or x =1. Plug these values in any of the equation to find y & you will find:
for x = 0, y = -2 & for x= -1 , y= -1
ANSWER: B)12
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Answer:
The number of games sold by Chris =
Step-by-step explanation:
The total number of employees in the team = 8
The total number of games sold by the whole team = g
The number of games sold by Chris = Average Games sold by each member - 17
Now,
=
⇒The average number of games sold by each of the team member = g/8
Hence, the number of games sold by Chris =
Answer:
a. 45 π
b. 12 π
c. 16 π
Step-by-step explanation:
a.
If a 3×5 rectangle is revolved about one of its sides of length 5 to create a solid of revolution, we can see a cilinder with:
Radius: 3
Height: 5
Then the volume of the cylinder is:
V=π*r^{2} *h= π*(3)^{2} *(5) = π*(9)*(5)=45 π
b. If a 3-4-5 right triangle is revolved about a leg of length 4 to create a solid of revolution. We can see a cone with:
Radius: 3
Height: 4
Then the volume of the cone is:
V=(1/3)*π*r^{2} *h= (1/3)*π*(3)^{2} *(4) = (1/3)*π*(9)*(4)=12 π
c. We can answer this item using the past (b. item) and solving for the other leg revolution (3):
Then we will have:
Radius: 4
Height: 3
Then the volume of the cone is:
V=(1/3)*π*r^{2} *h= (1/3)*π*(4)^{2} *(3) = (1/3)*π*(16)*(3)=16 π