X = money in the accounts in March
x + 210 = x + 0.15x
210 = 0.15x
210/0.15 = x
1400 = x
check..
Isaah -- 1400 + 210 = 1610
Freddie -- 1400 + 0.15(1400) = 1400 + 210 = 1610
<span>March accounts = $ 1400 </span>
1) you can expand the brackets, simplify, set the equation = 0 and then do a double bracket factorisation.
![(x - 4)^{2} - 28 = 8 \\ x - 8x + 16 - 28 = 8 \\ x - 8x - 12 = 8 \\ x - 8x - 20 = 0 \\ (x - 10)(x + 2) = 0 \\ x = 10 \\ x = - 2](https://tex.z-dn.net/?f=%28x%20-%204%29%5E%7B2%7D%20%20%20-%2028%20%3D%208%20%5C%5C%20x%20-%208x%20%2B%2016%20-%2028%20%3D%208%20%5C%5C%20x%20-%208x%20-%2012%20%3D%208%20%5C%5C%20x%20-%208x%20-%2020%20%3D%200%20%5C%5C%20%28x%20-%2010%29%28x%20%20%2B%202%29%20%3D%200%20%5C%5C%20%20x%20%3D%2010%20%5C%5C%20x%20%3D%20%20-%202)
2)
![x^{2} - 6x - 7 = 0 \\ (x - 7)(x + 1) = 0 \\ \\ x - 7 = 0 \\ x = 7 \\ \\ x + 1 = 0 \\ x = - 1](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%20-%206x%20-%207%20%3D%200%20%5C%5C%20%28x%20-%207%29%28x%20%2B%201%29%20%3D%200%20%5C%5C%20%20%5C%5C%20x%20%20-%207%20%3D%200%20%20%5C%5C%20x%20%3D%207%20%5C%5C%20%5C%5C%20%20x%20%2B%201%20%3D%200%20%5C%5C%20x%20%3D%20%20-%201)
therefore Josh's solution is wrong asx = 7 and x= -1
13 hearts in deck, minus 2 drawn = 11. Would be 11/52.
4 because a rectangular prism has 8 vertices (a place where two lines intersect) and a triangular pyramid has 4
hope this helps :)
Answer:
x^4 - 16x^3 + 96x^2 -256x + 256
Step-by-step explanation:
The coefficients of this using the pascal triangle is ;
1 4 6 4 1
Thus, we have that;
1(x^4•(-4)^0) + 4(x^3)(-4)^1 + 6(x^2)(-4^2) + 4(x^1)(-4)^3 + 1(x^0)(-4)^4
= x^4 - 16x^3 + 96x^2 -256x + 256