In this case, you just multiply the expression under the root that gave the greatest integer (as you pull the square root of that number). See how I did: 4 multiplied by 31, which gives 124 then pull out the square root of 4, because 31 can not be, because it is a prime number and root would be an irrational number.
Answer:
Production cost is $20 per item.
Step-by-step explanation:
Fixed cost is $100 and 20 items cost $500 to produce.



Production cost = $20.
So,
, where C is total cost and x is the number of items produced.
Number 1:
9x^2 + 12x + 4 -> (3x + 2)^2
16x^2 + 24x + 9 -> (4x + 3)^2
2. x^2 + Bx + 64
B = (sqrt64) *2 = 16
3.
Solving equations like this requires completing the square, which has the first step of choice 4.
Answer:
The probability that the next two balls are blue is 
Step-by-step explanation:
There is a total number of 12 balls in the jar (7 Red and 5 blue), if the first marble drawn is a given, that is it is a Red marble, then following the instruction the Red marble and two more Red marbles are added. Therefore making the total number of marbles in the jar to be 14 marbles (9 red and 5 blue).
<u>FIRST EVENT:</u> So the probability of drawing the second marble to be a blue marble becomes = 5/14 [<em>this is the number of blue marbles/ total number of marbles in the jar</em>].
Thereafter the blue marble is returned and two more blue marbles are added to the jar making a total of 16 marbles (9 red and 7 blue}.
<u>SECOND EVENT: </u>So the probability of drawing the third marble to be a blue marble becomes = 7/16 [<em>this is the number of blue marbles/ total number of marbles in the jar</em>].
However, this is not the final answer because the first event and the second event must occur together, therefore, one has to multiply the first events probability and the second events probability to get the probability we are looking for.
So, the probability of picking the next two to be blue = 5/14*7/16 (seven can reduce the 14 to a 2 based on division)
Therefore the probability = 5/32 (the 2 multiplies the 16)
The equation would be (6x)/2