Hello,
x^3-12x²-2x+24=x²(x-12)-2(x-12)=(x-12)(x²-2)
=(x-12)(x-√2)(x+√2)
Answer:
6 feet.
Step-by-step explanation:
Dimensions of the Pool =80 feet long by 20 feet wide
Area of the walkway =1344 square feet.
If the width of the walkway=w
- Length of the Larger Rectangle =80+2w
- Width of the Larger Rectangle =20+2w
Area of the Walkway =Area of the Larger Rectangle - Area of the Pool
$5 per Hour because the number keeps changing 5 dollars the first hour 10 the next... 15, 20... the number keeps climbing.
Answer:
The fractional part of the original pizza is
Step-by-step explanation:
Let
x-----> the original pizza (complete pizza)
we know that
Half a pizza represent ------>
Divide half a pizza by three people
therefore
The fractional part of the original pizza is
<h3>Answer:</h3>
2/15
<h3>Explanation:</h3>
There are 8C2 = 28 ways to choose 2 dimes from the 8 dimes in Annie's purse. There are 21C2 = 210 ways to choose 2 coins from the 21 coins in Annie's purse.
Of the 210 ways to choose 2 coins, 28 of the choices will result in 2 dimes being chosen. The probability of choosing 2 dimes is 28/210 = 2/15.
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<em>Comment on nCk</em>
The number of ways to choose k objects from n, when order does not matter, is ...
... n!/(k!(n -k)!)
For the computations above, we have ...
... 8C2 = 8·7/(2·1) = 28
... 21C2 = 21·20/(2·1) = 210