Smaller number = x larger number = y
3 times smaller number = 3x
and this equals larger number - 4
3x = y-4
then larger - smaller = 38
y - x = 38
now you have two equations and two unkowns ( 'x' and 'y' )....do you think you can solve it now?
6 - 4 2/3
18/3 - 14/3 = 4/3 = 1 1/3 cups left
The function needs to be continuous
sooooo at x = -1 the first two parts need to be equal ( 4/x has to equal mx+b at x = -1 )
and then at x = 1/2 the last two parts need to be equal
so you can find m and b given this restriction...
15 gallons final soln 52%
x = amount of 70%
(15-x) = amount of 40%
amount of ingredients = amount in final soln
.70(x) + .40 (15-x) = .52(15) solve for 'x' the amount of 70% then 15% is 15-x
t+1 is obviously larger than t-1
assuming t+1 hypotenuse
(t+1)^2 = (t-1)^2 + 4^2
expand and solve for t
Now t+1 might be less than 4
then
4^2 = (t+1)^2 + (t-1)^2 expand and solve for more values of 't'
Remenber to check the values ot t+1 and t-1 to make sure they 'fit' the assumptions
BUT....don't forget the circular top + pi (4^2)
(-2-i)(-2+i) (-2+sqrt3)(-2-sqrt3) = 5
y = 4x +2
x +y = 37
x + 4x+2 = 37
5x = 35 x = 7 then y = 30
I'll guess .....since it has six sides (6-2)(180=..........o
= -3 - 12i + 8i - i^2
= -3 - 12 i + 8i - (-1)
= -2 -4i
