( x + 4 )( x + 6 ) is an equation that uses the FOIL method. (First, Outer, Inner, Last).
Following the FOIL method:
( x + 4 )( x + 6 ) multiply the first term in each set (x and x) to get x2
then multiply the two outside terms (x and 6) to get (positive) 6x
then multiply the inside terms (4 and x) to get (positive) 4x
then multiply the last term in each set (4 and 6) to get (positive) 24
Now you have x2 + 6x + 4x + 24
The terms in the middle have the same variable, so they can be combined and the final answer is x2 + 10x + 24.
Its product is plus 6
6x+4 = x+12+4x-6 6x-x-4x = 12-6-4 x = 2
3x + 4 = x + 6 2x + 4 = 6 2x = 2 x = 1 Check it. 3 + 4 = 1 + 6 It checks.
x + 4 = 6 x = 6 - 4 x = 2
-6 Check: -6+4-6+8 = 0
The product is: x^2 +8x +16
18 + 24 = (6 x 3) + (6 x 4) = 6 x 7
Capacitors in series: (1/Total) = 1/A + 1/B 1/Total = (B + A) / AB Total = AB/(A+B) = (Product)/(Sum), if only twocapacitors in series. We have 4uf and 6 uf. Product = (4 x 6) x 10-12 = 2.4 x 10-11 Sum = (4 + 6) x 10-6 = 1 x 10-5 Product/sum = (2.4 x 10-11) / (1 x 10-5) = 2.4 x 10-6 = 2.4 uf ======================================== Easier:Total = product/sum = (4 x 6) / (4 + 6) = 24/10 = 2.4 uf
x+x+2+x+4+x+6=42(x+x+x+x)+(2+4+6)=424x+12=424x=30x=15/2or 7 and 1/2
Its product is plus 6
Find the solution for 4+6(X+9)
6x+4 = x+12+4x-6 6x-x-4x = 12-6-4 x = 2
3x + 4 = x + 6 2x + 4 = 6 2x = 2 x = 1 Check it. 3 + 4 = 1 + 6 It checks.
18 + 24 = (3 x 6) + (4 x 6) = 7 x 6 = 42
x/6 = 6 and 4/6 x = 36 plus 24/6 x = 36 plus 4 x = 40
2/3 +x= 4/6 4/6+x=4/6 x=0
18 + 24 = (3 x 6) + (4 x 6) = 7 x 6 = 42