<span>(x-7)^2 = (x-7)(x-7) = x^2 -7x -7x +49 = x^2-14x+49</span>
answer is 'x^2+14x+49'
So the so the product of two consecutive numbers is 4160 or
x(x+1)=4160
distribute
x^2+x=4160
subtract 4160 from both sides
x^2+x-4160=0
find the factor (if you want to know how, just ask in the comments)
(x-64)(x+65)=0
so the answer is x could be 64 or -65
so the number that work are 64,65 and -65,-64
Let G be the granola we need (in pound)
Let N be the nut we need (in pound)
Trail mix cost $5.00 per pound---> cost for 7 pound = 5 x 7 = $ 35
4.5G+7N= 35
G+ N = 7
Therefore G = 5.6 N=1.4, we would need 5.6 pound granola & 1.4 pound nut
Answer:
![(4x^3y^5)(3x^5y)^2 = 36*x^{13}y^7](https://tex.z-dn.net/?f=%284x%5E3y%5E5%29%283x%5E5y%29%5E2%20%3D%2036%2Ax%5E%7B13%7Dy%5E7)
Step-by-step explanation:
Given
![(4x^3y^5)(3x^5y)^2](https://tex.z-dn.net/?f=%284x%5E3y%5E5%29%283x%5E5y%29%5E2)
Required
The equivalent expression
We have:
![(4x^3y^5)(3x^5y)^2](https://tex.z-dn.net/?f=%284x%5E3y%5E5%29%283x%5E5y%29%5E2)
Expand
![(4x^3y^5)(3x^5y)^2 = 4x^3y^5*9x^{10}y^2](https://tex.z-dn.net/?f=%284x%5E3y%5E5%29%283x%5E5y%29%5E2%20%3D%204x%5E3y%5E5%2A9x%5E%7B10%7Dy%5E2)
Further expand
![(4x^3y^5)(3x^5y)^2 = 4*9*x^3*x^{10}y^5*y^2](https://tex.z-dn.net/?f=%284x%5E3y%5E5%29%283x%5E5y%29%5E2%20%3D%204%2A9%2Ax%5E3%2Ax%5E%7B10%7Dy%5E5%2Ay%5E2)
Apply laws of indices
![(4x^3y^5)(3x^5y)^2 = 36*x^{13}y^7](https://tex.z-dn.net/?f=%284x%5E3y%5E5%29%283x%5E5y%29%5E2%20%3D%2036%2Ax%5E%7B13%7Dy%5E7)
Answer:
7. A
8. C
9. C
10. A
Step-by-step explanation:
You just have to work each one out. This is very simple.