The answer would look like this:
Zeros 2, 3, 5
(x-2) (x-3) (x-5) = 0
(x^2 - 2x- 3x +6) (x - 5) =0
(x^2 – 5x + 6) (x - 5) = 0
x^2 (x -5) - 5x (x - 5) + 6 (x - 5)=0
x^3 - 5x^2 -5x^2 + 25x + 6x - 30 = 0
The cubic polynomial function would be this one:
x^3 -10 x^2 + 31x - 30 = 0
check the attachment for the graph
the final price of the wind chime is $29.925 .
<u>Step-by-step explanation:</u>
Here we have , A home improvement store sold wind chimes for $30 each. A customer signed up for a free membership card and received a 5% discount off the price. Sales tax of 5% was applied after the discount. We need to find What was the final price of the wind chime . Let's find out:
Initially we have , 5% discount in $30 i.e.
⇒ (30(5))/100
⇒ (150)/100
⇒ $1.5 , So now price becomes $30 - $1.5 = $28.5 . At this amount there's 5% tax i.e.
⇒ (28.5(5))/100
⇒ (142.5)/100
⇒ $1.425
So now price becomes $28.5 + $1.425 = $29.925 . Therefore , the final price of the wind chime is $29.925 .
To solve the problem shown above, you must apply the proccedure shown below:
1. You must use tthe formula for calculate the volume of a sphere, which is:
V=4πr³/3
V is the volume of the sphere.
r is the radius of the sphere (r=3.5 inches)
2. When you susbstitute these values into the formula shown above, you obtain the volume of the sphere. Therefore, you have:
V=4πr³/3
V=4π(3.5 inches)³/3
3. Therefore, the answer is:
V=179.5 inches³
