Hello from MrBillDoesMath!
Answer:
669/221
Discussion:
Ratio of 669 to 221 = 669/221.
Now, 669 = 3 * 223 and 221 = 13 * 17. Note that all numbers involved in the factorizations are distinct primes so nothing cancels out in their ratio. That is,
669/221 can not be reduced further.
Thank you,
MrB
Answer: y = 2 (x minus one-half) squared minus StartFraction 27 Over 2 EndFraction
or

Step-by-step explanation:
Vertex form of equation :
where (h, k) is the vertex of the parabola.

Hence, the vertex form of the equation is 
Answer:
a) 6
Step-by-step explanation:
Expanding the polynomial using the formula:

Also

I think you mean 
We can deduce that this term will be located somewhere in the middle. So I will calculate
.
For 

Note that we actually don't need to do all this process. There's no necessity to calculate the binomial, just 
For 

Answer:
<h2>See the explanation.</h2>
Step-by-step explanation:
a.
The initial length of the candle is 16 inch. It also given that, it burns with a constant rate of 0.8 inch per hour.
After one hour since the candle was lit, the length of the candle will be (16 - 0.8) = 15.2 inch.
After two hour since the candle was lit, the length of the candle will be (15.2 - 0.8) = 14.4 inch. The length of the candle after two hours can also be represented by {16 - 2(0.8)}.
Hence, the length of the candle after t hours when it was lit can be represented by the function,
.
at t = 20.
b.
The domain of the function is 0 to 20.
c.
The range is 0 to 16.
Answer:
Option B 
Step-by-step explanation:
we know that
The area of the rectangle room, is equal to

where
L is the length
W is the width
we have


Remember that
1 yard= 3 feet
Convert yards to feet


The area is equal to
