Your Answer: 0.04884882
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Answer:
Step-by-step explanation:
We want to find the minimum-degree polynomial with real coefficients and zeros at:
As well as a <em>y-</em>intercept of 64.
By the Complex Root Theorem, if <em>a</em> + <em>b</em>i is a root, then <em>a</em> - <em>b</em>i is also a root.
So, a third root will be 4 - 4i.
The factored form of a polynomial is given by:
Where <em>a</em> is the leading coefficient and <em>p</em> and <em>q</em> are the zeros. More factors can be added if necessary.
Substitute:
Since we want the minimum degree, we won't need to add any exponents.
Expand the second and third factors:
Hence:
Lastly, we need to determine <em>a</em>. Since the <em>y-</em>intercept is <em>y</em> = 64, this means that when <em>x</em> = 0, <em>y</em> = 64. Thus:
Solve for <em>a: </em>
Our factored polynomial is:
Finally, expand:
Answer:
See Below
Step-by-step explanation:
3 out of 5 of the 60 total blocks are red, that means every 3 of 5 random we take would be RED.
That is 3/5ths of 60 are red. We multiply and figure out.
So we can say there are 36 red blocks from the total 60 Blocks.
Briana needs to make a design that uses 32 RED BLOCKS. <em>Are there enough??</em>
<em />
<em>Yes of course, because 36 > 32</em>
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<em>So, it is reasonable for Briana to think there are enough blocks to make her design.</em>
D because if you do a rate problem you do 50 times what equals 100 so times two then you do 32 times two
Answer:
192
Step-by-step explanation:
look for the app photomath shows u the steps