Solve for x.
1/ x-2 + 6x/ x^2-4 = 3/x+2
answers:
x= -2
x= 1/3
x= -1
no solution

the number of possible combinations is given by

c(18, 3) = 18! /(3! (18- = 18·17·16/(3·2·1) = 816 . . possible combinations

there are 18 ways to choose the first one; 17 ways to choose the second one, and 16 ways to choose the 3rd one. the same 3 students can be chosen in any of 3! = 6 different orders, so the product 18·17·16 must be divided by 6 to get the number of possible combinations in which order doesn't matter.

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

8

step-by-step explanation:

just put √(2) * √(32) into a calculator. that will make the answer be 8.