Answer:
Step-by-step explanation:
We want to find a third degree polynomial with zeros <em>x </em>= 2 and <em>x</em> = 2i and f(-1) = 30.
First, note that by the Complex Root Theorem, since <em>x</em> = 2i is a root, <em>x</em> = -2i must also be a root.
Hence, we will have the three factors:
Where <em>a</em> is the leading coefficient.
Expand and simplify the second and third factors:
Hence:
Since f(-1) = 30:
In conclusion, third degree polynomial function is:
So,
I like to simplify a fraction first. This is what I do when I'm in a store trying to find the unit price.
Factor.
Cross out ones.
Multiply it out.
In my head, I remember that one-eighth is equal to 0.125.
So seven-eighths is equal to 0.125 times 7.
0.125 * 7 = 0.875
Convert to percent form.
0.875 --> 87.5%
James answered 87.5% of his quiz correctly.
I actually have the decimal equivalents for eighths in my head when I'm shopping. So once I get seven-eighths, I immediately know how much that is. I can also subtract 0.125 from 1.000 to get seven-eighths.
19,7,and 61 im not sure about the last one
Answer: 4/9
Step-by-step explanation: To multiply fractions, first multiply across the numerators, then multiply across across the denominators.
So here, we have 2 · 2 which is 4 and 3 · 3 which is 9.
So we have 4/9 which is in lowest terms.
This means that 2/3 · 2/3 is 4/9.
