The one that best applies here is the b option: The range only includes numbers greater than or equal to 0. This is because<span> when you square a number that is negative or positive, it becomes a positive</span>
3w-7w-12=2w-6
-4w-12=2w-6
-12=6w-6
-6=6w
w=-1
Answer:
0=0
Step-by-step explanation:
6x-6x=0
cancel the terms on both sides of the equation
0=0 the sum of two opposites equals zero
this statement is correct
Answer:
y= -2x +2
Step-by-step explanation:
<u>Slope-intercept form:</u>
y= mx +c, where m is the slope and c is the y-intercept.
Given that the slope is -2, m= -2.
Substitute m= -2 into the equation:
y= -2x +c
Given that the y-intercept is 2, c= 2.
Substitute c=2 into the equation:
y= -2x +2
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.
