Solve the following inequalities 1) -3x +5 > -10

2) 2 (x-5) < -5

3) 4 - 6x ≥ -8

4) -1/2 (2x+6) ≤ -6

Simplify each last expression:

5) 3x+4 - 5x - 8

6) -2 (1/2x - 4) +3x

7) 2xy + 3x - 4xy -8x
Please do this asap its due soon I will give the brainiest.

The average number of vehicles waiting in line to enter a parking lot can be modeled by the function f left parenthesis x right x squared over 2 left parenthesis 1 minus x right parenthesis endfraction , where x is a number between 0 and 1 known as the traffic intensity. find the rate of change of the number of vehicles waiting with respect to the traffic intensity for the intensities (a) xequals0.3 and (b) xequals0.6.

Question b of 10which of the following describe an angle with a vertex at a? check all that applyo a. labcов. савd dooo c_baco d. zacb

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?