AzizHusain

4(a • b) = (4 • a)b is an example of which algebraic property?

We are basically distributing by grouping these differently, so it is the associative property of multiplication.

Find 2x - 3y - z if x = -3, y = 2, and z = -2

2(-3) - 3(2) - (-2) --> -6 - 6 + 2 -> -12 + 2= -10.

2x/3(y^-1) --> You can move the y^-1 on top --> 2xy/3.

What do we have to do with these x and y values?

-|-8+2| = -|-6| = -6.

General formula for what? Need more information.

This polynomial only has one real root: (x - 0.3127) --> x = 0.3127.

((2*2)+2-2)/2

PEMDAS: ((2*2)+2-2)/2 --> 4 + 2 - 2 / 2 --> 6 -2 / 2 --> 4 / 2 = 2.

X 10^(-5) means move the decimal place to the left 5 times.

7.5 --> 0.000075.

Question 10: Note that since the lines are parallel, their slopes must be the same [and negative since the line is going downward] and they also differ in their y-intercepts [one + and one -] as well based on the graph. 

D does have the same slope, but notice that both y-intercepts are positive...the graph has 1 equation that has a negative y-intercept.

C also has one that is x -y which means the x would become positive again once it is moved to the other side...while the other equation still has a negative x...

A has x, 2x, and 2y, so notice that the slopes would dramatically differ...

Only B makes sense since you notice that x + y = # andx + y = -#...the slopes are equal and the #'s are opposite signs.

Question 16: y is definitely greater than 0...but notice that is restricted to a maximum of y = 3. Only choice C makes sense.

Question 19: On the graph, when x = 1 when y = 0.

y = -ln x --> 0 = - ln(1)...Yes!

y = e^-x --> 0 = e^(-1)...No!

y = e^x --> 0 = e^1...No!

y = ln x --> 0 = ln 1...Yes!

Now, notice that if we took ln(0.9) we would get -0.1053605156578263...and this graph is in the positive range when x <1...so, -lnx would make it positive...A.