Answer:
Step-by-step explanation:
-32 = 2(x² + 10x)
Complete the square
coefficient of the x term: 10
divide coefficient in half: 5
square it: 5²
use 5² to complete the square and keep the equation balanced:
-32+2·5² = 2(x² + 10x + 5²)
18 =2(x+5)²
9 = (x+5)²
x+5 = ±√9 = ±3
x = ±3 - 5 = -2, -8
Answer: There are 60060 ways to do so.
Step-by-step explanation:
Since we have given that
Number of linden trees = 6
Number of white birch trees = 4
Number of bald cypress trees = 3
Total number of trees = 6 +4 +3 =13
So, Number of ways that the landscaper plant that trees are evenly spaced is given by
Hence, there are 60060 ways to do so.
Answer:
Answer: the equivalent form of 6(2x+3x+10) are 12x+18x + 60 and 30x+60.
Hope this helps
Multiples of 11 between 1 and 30:
11, 22
So there are 2 numbers that are multiples of 11 in the bin. There are a total of 30 cards, so the probability is written as 2/30. Or we can simplify it to 1/15.
For the next question:
There are a total of 3 + 8 = 11 balls in the bag.
The probability of choosing a red ball is 3/11.
The probability of choosing a green ball is 8/11.
Multiply the three fractions:
3/11 * 3/11 * 8/11 = 72/1331
So the probability is 72/1331.
For the last question:
A standard deck of cards has 52 cards.
There are 4 queens and 4 kings in the deck.
Probability of choosing a queen is 4/52, and the probability of choosing a king AFTER you already chose a queen is 4/51.
Multiply the two fractions:
4/52 * 4/51 = 16/2652
So the probability is 16/2652 or 4/663
