Answer:
To see if multiple ratios are proportional, you could write them as fractions, reduce them, and compare them. If the reduced fractions are all the same, then you have proportional ratios.
(Hope this helps!! Btw, I am the first to answer.)
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complex networks of codependent variables is an lively theme in statistical
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and troubleshooting.
Answer:
12
Step-by-step explanation:
the range is the difference between the highest and lowest data value
the lowest data value is zero and the highest is twelve
You can either use the Pythagorean theorem right away (a = -3, b = 27, c = 1200) or Try factoring the polynomial to find the zeros.
I would factor and start by dividing everything by -3.
<span>-3x^4 + 27x^2 + 1200 = 0
-3(x^4 - 9x^2 - 400) = 0
If you divide by -3 on both sides you see that the -3 is now gone. 0/-3 = 0
x^4 - 9x^2 - 400 = 0
factor further or use Pythagorean theorem.
(x² - 25)(x² + 16) = 0
Solve for the x-values by setting each one equal to zero.
x² - 25 = 0
x² = 25
x is +5 or -5
x² + 16 = 0
x² = -16
x = √(-16)
Two non-real solutions
x is +4i or -4i
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One of them is 30 degrees and the other is 60 degrees