Answer:
comic books = 2
magazines = 15
Step-by-step explanation:
Let c = number of comic books bought
Let m = number of magazines bought
He bought 17 items, so
c + m = 17
Comic books cost $4 each and magazines cost $3 each.
He spent $53 on comic books and magazines, so
4c + 3m = 53
Rearrange c + m = 17 to make m the subject:
m = 17 - c
Substitute m = 17 - c into 4c + 3m = 53 and solve for c:
4c + 3(17 - c) = 53
⇒ 4c + 51 - 3c = 53
⇒ c = 2
Substitute c = 2 into m = 17 - c to and solve for m:
m = 17 - 2 = 15
1. 9%
2. 272 students
3. A
4. Point B?
Answer:
please provide awnser options
Step-by-step explanation:
Answer:
16.59
Step-by-step explanation:
Given:
Expanding the left hand side, we have:
Therefore:
To find the minimum value, we take the derivative and solve for its critical point.
![\frac{d}{da} (\frac{a^3+26}{a})=\frac{2a^3-26}{a^2}\\$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.
