(-4)^-3 =
-4^-3 = 
Basically in this situation there is no difference whether parenthesis are used or not.
For this case we have:
way 1:
Common factor 3 in the expression:
Way 2:
Write the number 12 as the sum of 4 times 3:

Then, for associative property:
Answer:
Bottom left graph
Step-by-step explanation:
We have to use what is called the zero-interval test [test point] in order to figure out which portion of the graph these inequalities share:
−2x + y ≤ 4 >> Original Standard Equation
+ 2x + 2x
_________
y ≤ 2x + 4 >> Slope-Intercept Equation
−2[0] + 0 ≤ 4
0 ≤ 4 ☑ [We shade the part of the graph that CONTAINS THE ORIGIN, which is the right side.]
[We shade the part of the graph that does not contain the origin, which is the left side.]
So, now that we got that all cleared up, we can tell that the graphs share a region in between each other and that they both have POSITIVE <em>RATE OF CHANGES</em> [<em>SLOPES</em>], therefore the bottom left graph matches what we want.
** By the way, you meant
because this inequality in each graph is a <em>dashed</em><em> </em><em>line</em>. It is ALWAYS significant that you be very cautious about which inequalities to choose when graphing. Inequalities can really trip some people up, so once again, please be very careful.
I am joyous to assist you anytime.
Answer:
(x1 + x4)/2 = 4
Step-by-step explanation:
(x1 + x2+ x3 + x4)/4 = 5 mean
x1 , x2 , x3 , x4
median (x2+x3)/2 = 6
(x2+x3) = 12
The smallest integer is x1, the largest integer x2.
The mean of the largest and smallest of the integers is (x1 + x2)/2.
(x1 + x2+ x3 + x4)/4 = 5
x1 + x2+ x3 + x4 = 20
x1 + 12 + x4 = 20
x1 + x4 = 20 - 12
x1 + x4 = 8
(x1 + x4)/2 = 8/2
(x1 + x4)/2 = 4
at least 4 different angles are present