9514 1404 393
Answer:
2876 books
Step-by-step explanation:
If we let y1 and y2 represent the costs from method 1 and method 2, then we have, for x books published, ...
y1 = 12841 +24.25x
y2 = 48072 +12x
These costs will be equal when ...
y1 = y2
12841 +24.25x = 48072 +12x
12.25x = 35231 . . . . . . . . . . . . . subtract 12841+12x
x = 2876 . . . . . . . . . . divide by 12.25
The costs will be the same for production of 2876 books.
Answer:
C
Step-by-step explanation:
Answer:
3.2
Step-by-step explanation:
The distance of 2.7 and 3.7 to 3.2 is .5 each, thus it is the integer in between both numbers.
Answer:
![\left(2\:\sqrt{3\:+\:3\:\sqrt{2}\:\:}\:\right)\:^2=4(3+3\sqrt{2})](https://tex.z-dn.net/?f=%5Cleft%282%5C%3A%5Csqrt%7B3%5C%3A%2B%5C%3A3%5C%3A%5Csqrt%7B2%7D%5C%3A%5C%3A%7D%5C%3A%5Cright%29%5C%3A%5E2%3D4%283%2B3%5Csqrt%7B2%7D%29)
Step-by-step explanation:
Considering the radical expression
![\left(2\:\sqrt{3\:+\:3\:\sqrt{2}\:\:}\:\right)\:^2](https://tex.z-dn.net/?f=%5Cleft%282%5C%3A%5Csqrt%7B3%5C%3A%2B%5C%3A3%5C%3A%5Csqrt%7B2%7D%5C%3A%5C%3A%7D%5C%3A%5Cright%29%5C%3A%5E2)
![\mathrm{Apply\:exponent\:rule}:\quad \left(a\cdot \:b\right)^n=a^nb^n](https://tex.z-dn.net/?f=%5Cmathrm%7BApply%5C%3Aexponent%5C%3Arule%7D%3A%5Cquad%20%5Cleft%28a%5Ccdot%20%5C%3Ab%5Cright%29%5En%3Da%5Enb%5En)
![=2^2\left(\sqrt{3+3\sqrt{2}}\right)^2.....[A]](https://tex.z-dn.net/?f=%3D2%5E2%5Cleft%28%5Csqrt%7B3%2B3%5Csqrt%7B2%7D%7D%5Cright%29%5E2.....%5BA%5D)
Simplifying
![\left(\sqrt{3+3\sqrt{2}}\right)^2](https://tex.z-dn.net/?f=%5Cleft%28%5Csqrt%7B3%2B3%5Csqrt%7B2%7D%7D%5Cright%29%5E2)
![\mathrm{Apply\:radical\:rule}:\quad \sqrt{a}=a^{\frac{1}{2}}](https://tex.z-dn.net/?f=%5Cmathrm%7BApply%5C%3Aradical%5C%3Arule%7D%3A%5Cquad%20%5Csqrt%7Ba%7D%3Da%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D)
![=\left(\left(3+3\sqrt{2}\right)^{\frac{1}{2}}\right)^2](https://tex.z-dn.net/?f=%3D%5Cleft%28%5Cleft%283%2B3%5Csqrt%7B2%7D%5Cright%29%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%5Cright%29%5E2)
![\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc}](https://tex.z-dn.net/?f=%5Cmathrm%7BApply%5C%3Aexponent%5C%3Arule%7D%3A%5Cquad%20%5Cleft%28a%5Eb%5Cright%29%5Ec%3Da%5E%7Bbc%7D)
![=\left(3+3\sqrt{2}\right)^{\frac{1}{2}\cdot \:2}](https://tex.z-dn.net/?f=%3D%5Cleft%283%2B3%5Csqrt%7B2%7D%5Cright%29%5E%7B%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20%5C%3A2%7D)
As ![\frac{1}{2}\cdot \:2=1](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20%5C%3A2%3D1)
So, putting
into Equation [A]
![=2^2\left(\sqrt{3+3\sqrt{2}}\right)^2.....[A]](https://tex.z-dn.net/?f=%3D2%5E2%5Cleft%28%5Csqrt%7B3%2B3%5Csqrt%7B2%7D%7D%5Cright%29%5E2.....%5BA%5D)
As
![\left(\sqrt{3+3\sqrt{2}}\right)^2=3+3\sqrt{2}](https://tex.z-dn.net/?f=%5Cleft%28%5Csqrt%7B3%2B3%5Csqrt%7B2%7D%7D%5Cright%29%5E2%3D3%2B3%5Csqrt%7B2%7D)
So, Equation [A] becomes
![=2^{2}(3+3\sqrt{2})](https://tex.z-dn.net/?f=%3D2%5E%7B2%7D%283%2B3%5Csqrt%7B2%7D%29)
![=4(3+3\sqrt{2})](https://tex.z-dn.net/?f=%3D4%283%2B3%5Csqrt%7B2%7D%29)
Therefore,
![\left(2\:\sqrt{3\:+\:3\:\sqrt{2}\:\:}\:\right)\:^2=4(3+3\sqrt{2})](https://tex.z-dn.net/?f=%5Cleft%282%5C%3A%5Csqrt%7B3%5C%3A%2B%5C%3A3%5C%3A%5Csqrt%7B2%7D%5C%3A%5C%3A%7D%5C%3A%5Cright%29%5C%3A%5E2%3D4%283%2B3%5Csqrt%7B2%7D%29)
Keywords: radical expression
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Answer:
because u just do 3 x 65 then you divide by 10 two times
Step-by-step explanation: