x²-3
Step-by-step explanation:
The expression given is;
6x²-18
Finding the greatest common factor of the terms and simplifying the expression will be;
Divide the terms by 6 to get;
x²-3
Graphing the expression to find the area model will be as attached;
Learn More
Factorizing expressions:brainly.com/question/12290978
Keywords : factor, greatest common factor, terms, area model
#LearnwithBrainly
Answer:

Step-by-step explanation:
Given



Required
Determine the probability of selecting two fakes
The probability can be represented as thus: 
Using the following probability formula, we have:

Each probability is calculated by dividing number of fakes by total number of gems:

The minus 1 (-1) represent the numbers of fake and total gems left after the first selection




<em>Hence, the required probability is approximately 0.504</em>
Answer:
Step-by-step explanation:
8-x/3>=11 is the equation, and the answer is:
x<= -9, so any number less than -9 is correct.
Because of the relatively large coefficients {9, 42, 49}, applying the quadratic formula would be a bit messy. Instead, I've chosen to "complete the square:"
9x^2 + 42x + 49 = 0 can be re-written as 9 [ x^2 + (42/9)x ] = -49
Dividing both sides by 9, we get [ x^2 + (42/9)x ] = - 49/9
Completing the square: [ x^2 + (42/9)x + (21/9)^2 - (21/9)^2 ] = -49/9
[ x + 21/9 ]^2 = 441/81 - 441/81 = 0
Then [ x + 21/9 ] = 0, and x = -21/9 (this is a double root).
Answer:
4a. About 54 times NOT INCLUDING THE FIRST TRIAL
4b. About 60 times NOT INCLUDING THE FIRST TRIAL
Step-by-step explanation:
I say about because we don't know if it's ALWAYS going to be the same results.
4a. Also 12*4 because it's 20 times so 20*4=80 then you add half of it to become 90 and you get 54
4b. 12*5 because 100/5=20 for the 20 trials of them