Step-by-step explanation:
(3a²+7b²)²
Power will multiply
3a²+7b^4
Divide the amount donated by total sales then multiply by 100.
350 / 8750 = 0.04
0.04 x 100 = 4%
The roots of the given polynomial function is {-4, -2, -3 + 2i, -3 - 2i}.
<h3>How to get the roots of the polynomial?</h3>
Here we have the polynomial function:
So we just need to find the roots of the two quadratic functions, to do that, we use Bhaskara's formula.
For the first one, we have:
So the two solutions are:
x = (-6 - 2)/2 = -4
x = (-6 + 2)/2 = -2
For the second quadratic we have:
So the two solutions are:
x = -3 + 2i
x = -3 - 2i
Finally, the list is:
{-4, -2, -3 + 2i, -3 - 2i}
If you want to learn more about polynomials:
brainly.com/question/4142886
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Answer:
an = 17n - 46
a50 = 804
Step-by-step explanation:
-29, -12, 5, 22, ...
Subtract each number from the next one.
-12 - (-29) = 17
5 - (-12) = 17
22 - 5 = 17
The common difference is 17. This is an arithmetic sequence which starts with -29, and in which each subsequent value is 17 more than the previous value.
a1 = -29
a2 = -29 + 17
a3 = -29 + 2(17)
a4 = -29 + 3(17)
Notice that for each term, you have -29 and something added to it. What you add to -29 is 17 multiplied by 1 less than the number of the term. For term 1, 1 less than 1 is 0. You add 0 * 17 to -29 and get -29. term 1 is -29. For term 2, 1 less than 2 is 1. You add 1 * 17 to -29 and get -12, etc.
For term n, 1 less than n is n - 1. Add (n - 1) * 17 to -29 to get term n.
an = -29 + 17(n - 1)
This formula can be simplified.
an = -29 + 17n - 17
an = -46 + 17n
an = 17n - 46
a50 = 17(50) - 46
a50 = 804
