Answer:
Step-by-step explanation:
1) y = (cos x) / x is neither, since cos x is even and x is odd. Expressions such as this are neither even nor odd. /
2) y = (sin x) / x is even, since sin x and x would either both be positive at the same time or negative at the same time. Recall that (-) / (-) is positive, just as (+) / (+) is positive.
Answer:
yes.
Step-by-step explanation:
2.4 + 6.5 = 8.9 (triangle inequality)
8.9 > 7.4
= it is possible to make a triangle wit these measurements.
Hello!
If there are 32 people in total in the class, and 20 of them are girls, that means there are 12 boys in the class
so the ratio of boys to girls is 12:20
to get simplest form, divide by the greatest common factor. which in this case, is 4.
12 / 4 = 3
20 / 4 = 5
your final answer is: boys:girls, 3:5
I hope this helps, and have a nice day!
Answer:
Colored: $28
Normal: $11
Step-by-step explanation:
Answer:
16.59
Step-by-step explanation:
Given:
Expanding the left hand side, we have:
Therefore:
To find the minimum value, we take the derivative and solve for its critical point.
![\frac{d}{da} (\frac{a^3+26}{a})=\frac{2a^3-26}{a^2}\\$Setting the derivative equal to zero, we have:\\2a^3-26=0\\2a^3=26\\a^3=13\\a=\sqrt[3]{13}](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bda%7D%20%28%5Cfrac%7Ba%5E3%2B26%7D%7Ba%7D%29%3D%5Cfrac%7B2a%5E3-26%7D%7Ba%5E2%7D%5C%5C%24Setting%20the%20derivative%20equal%20to%20zero%2C%20we%20have%3A%5C%5C2a%5E3-26%3D0%5C%5C2a%5E3%3D26%5C%5Ca%5E3%3D13%5C%5Ca%3D%5Csqrt%5B3%5D%7B13%7D)
Recall that:
![\Box=a^2+b^2=\dfrac{(\sqrt[3]{13}) ^3+26}{\sqrt[3]{13}}\\=\dfrac{13+26}{\sqrt[3]{13}}\\\\\Box=16.59](https://tex.z-dn.net/?f=%5CBox%3Da%5E2%2Bb%5E2%3D%5Cdfrac%7B%28%5Csqrt%5B3%5D%7B13%7D%29%20%5E3%2B26%7D%7B%5Csqrt%5B3%5D%7B13%7D%7D%5C%5C%3D%5Cdfrac%7B13%2B26%7D%7B%5Csqrt%5B3%5D%7B13%7D%7D%5C%5C%5C%5C%5CBox%3D16.59)
The minimum possible value of the coefficient of x is 16.59.
