Answer:
x>4
Step-by-step explanation:
Answer:
x=9, x=7
Aka x= 9,7
Step-by-step explanation:
Oh goodie, factoring.
I used to be very good at this. My memory is a LITTLE rusty but let's see if we can bust out some penzoil and fix my aching joints (yes I just stole the quote from that terrible show, sue me), shall we?
1. x^2 - 11x + 68 = 5x +5
2. Chuck all the x variables to the left: x^2 - 16x + 68 = 5
3. Get rid of that pesky loser, 5, by subtracting from both sides of the equation (Note that it's important to remember LIKE TERMS, don't try subtracting 5 from 16x, you'll hurt yourself): x^2 - 16x + 68 - 5 = 5 - 5
New equation: x^2 - 16x + 63 = zilch (0)
4. Use AC method to factor: x2+bx+c. AC method definition: a pair of numbers whose product is c and whose sum is b: (x-9)(x-7)=0
5. Solve for x.
Booyah.
We calculate for the volumes of each of the wax needed for the candles through the equations presented below.
For cylinder:
V = πr²h
where V is volume, r is radius and h is height.
Substituting the known values,
V = (3.14)(3 in)²(6 in)
V = 169.56 in³
For sphere:
V = 4πr³/3
Substituting the known values,
V = 4(3.14)(3 in)³ / 3 = 113.04 in³
The difference between the two volumes,
difference of volumes = 169.56 in³ - 113.04 in³
<em>difference of volumes = 56.52 in³</em>
Thus, the answer to this item is the last choice.
