The lowest possible product would be -6724 given the numbers 82 and -82.
We can find this by setting the first number as x + 164. The other number would have to be simply x since it has to have a 164 difference.
Next we'll multiply the numbers together.
x(x+164)
x^2 + 164x
Now we want to minimize this as much as possible, so we'll find the vertex of this quadratic graph. You can do this by finding the x value as -b/2a, where b is the number attached to x and a is the number attached to x^2
-b/2a = -164/2(1) = -164/2 = -82
So we know one of the values is -82. We can plug that into the equation to find the second.
x + 164
-82 + 164
82
It would be 10 because the factors add up and it makes sense
An item, x, is marked up 40% and now costs $49.99
40% is 0.40
1 times any number will be the same number so we'll use that to add on the original price to the amount of increase
(1+0.40)x=49.99
x=49.99/1.4
x=35.71 so D is the answer
The formula is base x height = volume so 6 x 4 = 24
I hope that helps
Step-by-step explanation:
(i). a+(b+c) = (a+b)+c
-35+(10-5) = (-35+10)+(-5)
-35+5 = -25-5
-30 = -30
(ii). a×(b+c) = a×b + a×c
-35 × [10+(-5)] = -35×10 + -35×-5
-35 × (10-5) = -350 + 175
-35 × 5 = -350 + 175
-175 = -175