<u>x² + 3x + 3 = 0</u>
I can tell by looking that there's no easy way to factor the left side,
so we'll have to use the Quadratic formula.
Before doing that, let's just take a look at the discriminant:
( B² - 4AC ) = (9) - (4 x 3 x 1) = (9 - 12) = -3 .
The discriminant is negative, so we know that the roots will be complex conjugates.
Again: <u>x² + 3x + 3 = 0</u>
x = (1/2) [ -3 plus or minus the square root of (-3) ]
<u>x = -3/2 + (1/2) j√3</u>
and
<u>x = - 3/2 - (1/2) j√3</u>
Answer:
5w≥25 because the product is multiplying and it can be greater than or equal to 25
The formula for standard deviation is in attachment the mean (or average is subtracted from each data sample then squared, then summed up for all data samples, then divided by the number of samples, then finally the square root is taken.
The first row of data will have a standard deviation of 0.
The second row of numbers will have a low standard deviation because the differences between the sample data values are low ( <10).
The third row of number will have a somewhat larger standard because of the spread of the numbers.
The last row will have a slightly smaller standard deviation that the 3rd row because of the zero's
What smaller number can you get other than 0?
The first row of data has a 0 or smallest standard deviation
Look up "Everything You Need To Know About Math In One Big Fat Notebook pdf." It's the best thing I've ever been given, I have it with me in math class all the time and I've aced every test. I have it with me right now and it has everything I've ever been taught about math in it so it might help you.
17/32. You can turn 5/16 into 10/32. 17/32>10/32