Answer:
Inequality Form:
x<
11
Interval Notation:
(
−
∞
,
11
)
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
The distance between the two endpoints is :
14.212 or about 14.21 ( rounded to the nearest hundredth)
Answer:
Option C. is the correct answer
Step-by-step explanation:
Choose any value of x and find the values of y. Then plot a graph using all that points. These will neither parallel nor perpendicular.
Answer:
between 78 and 102 texts and more than 78 text messages.
Step-by-step explanation:
the range of it is 102-178, so its between there, and its more than 78 as well if the range goes up to 102
Answer:
y = (2/5) OR y = (6/5)
Step-by-step explanation:
The first step is isolating the expression within the absolute value bars. The first thing we can do is subtract both sides by 8. If we do that, we get -2|4-5y| = -4. Now, to completely isolate the absolute value, we would have to divide by -2. This yields |4 - 5y| = 2. Finally, we can remove the absolute value bars. However, to do this, we need to first understand what an absolute value bar does to an equation. Lets say that |x| = 2. Absolute value describes the DISTANCE of some quantity from 0 (on the number line). Therefore, x (which is inside the absolute value bars) can be either positive or negative 2 (they are BOTH two units away from 0). Similarly, in this case, (4 - 5y) can either be 2 or -2 (because the absolute value of both is 2). Now we have two possible solutions to solve for:
4 - 5y = 2 OR 4 - 5y = -2
5y = 2 OR 5y = 6
y = (2/5) OR y = (6/5)
If we plug both of these answers back into the equation we can see that they both check out.