Answer: 11
Step-by-step explanation: 2x^5 + 4x^4 – x^3 - x^2 + 7= 11
2x^2 - 1= 1
2x^5 + 4x^4 – x^3 - x^2 + 7 is divided by 2x^2 - 1.=11
<span>The GCF is the number that is a factor of both (or all) of the numbers of a given set and which is the biggest factor of this kind (often the smaller number of the two)
7 and 14 have a greatest common factor of 7.
28 and 7 also have a GCF of 7, so the first two responses fit.
21 and 3 have a GCF of 3, so that isn't correct.
7 and 1 have a GCF of 1, so that's incorrect as well.</span>
Answer:
Step-by-step explanation:
let side of cube=x cm
volume=x³ cm³
again side=(x-3) cm
volume=(x-3)³ cm³
x³-(x-3)³=1385
(a³-b³)=(a-b)(a²+ab+b²)
(x-x+3){x²+x(x-3)+(x-3)²}=1385
3(x^2+x²-3x+x²-6x+9)=1385
3(3x²-9x+9)=1385
9x²-27x+27=1385
9x²-27x+27-1385=0
9x²-27x-1358=0
![x=\frac{27\pm\sqrt{(-27)^2-4*9*(-1358)} }{2*9} \\x=\frac{27\pm\sqrt{729+48888} }{18} \\or~x=\frac{27\pm\sqrt{49617} }{18} \\or~x=\frac{27\pm 222.749}{18} \\taking positive side only as negative sign gives negative length.\\or~x=\frac{27+222.749}{18} \\or~x\approx13.87](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B27%5Cpm%5Csqrt%7B%28-27%29%5E2-4%2A9%2A%28-1358%29%7D%20%7D%7B2%2A9%7D%20%5C%5Cx%3D%5Cfrac%7B27%5Cpm%5Csqrt%7B729%2B48888%7D%20%7D%7B18%7D%20%5C%5Cor~x%3D%5Cfrac%7B27%5Cpm%5Csqrt%7B49617%7D%20%7D%7B18%7D%20%5C%5Cor~x%3D%5Cfrac%7B27%5Cpm%20222.749%7D%7B18%7D%20%5C%5Ctaking%20positive%20side%20only%20as%20negative%20sign%20gives%20negative%20length.%5C%5Cor~x%3D%5Cfrac%7B27%2B222.749%7D%7B18%7D%20%5C%5Cor~x%5Capprox13.87)
Answer:
326m²
Step-by-step explanation:
Find the area of each side and find the total sum from each individual area:
2(15*4)+2(7*4)+2(7*15)=2(60)+2(28)+2(105)=2(163)=326
So the surface area of the prism is 326m²
Each bag contains 50 pattern blocks so 4 bags is
50 x 4 = 200 pattern blocks
hope this helps