Each of these roots can be expressed as a binomial:
(x+1)=0, which solves to -1
(x-3)=0, which solves to 3
(x-3i)=0 which solves to 3i
(x+3i)=0, which solves to -3i
There are four roots, so our final equation will have x^4 as the least degree
Multiply them together. I'll multiply the i binomials first:
(x-3i)(x+3i) = x²+3ix-3ix-9i²
x²-9i²
x²+9 [since i²=-1]
Now I'll multiply the first two binomials together:
(x+1)(x-3) = x²-3x+x-3
x²-2x-3
Lastly, we'll multiply the two derived terms together:
(x²+9)(x²-2x-3) [from the binomial, I'll distribute the first term, then the second term, and I'll stack them so we can simply add like terms together]
x^4 -2x³-3x²
<u> +9x²-18x-27</u>
x^4-2x³+6x²-18x-27
Answer: The y intercept (where your first point is) is -1/2 so plot that point then move 3 units up and 4 units to the right and keep going.
Step-by-step explanation:
The graph looks something like this:
I could help but a snail travels 48 cm in what?
Answer:
95%
Step-by-step explanation:
The z-scores associated with the limits are ...
z = (x -μ)/σ
z = ({80, 108} -94)/7 = {-14, 14}/7 = {-2, 2}
That is, we're interested in flight times that lie within 2 standard deviations of the mean. The empirical rule tells us that 95% of the distribution lies within 2 standard deviations of the mean.
Answer:
If Sam incorrectly answered 5 questions, and for each question 3 points were deducted, a total of 5x3, or 15 points were deducted.
Sam scored an 85.
Let me know if this helps!