Answer: Choice (D): x<=-2 or x>=8
Explanation:
An absolute value |x| is a function that has a "tricky" definition: it equals x is x >=0, but changes abruptly to -x for values of x<0.
This two-case scenario has to be respected and built into a solution of any equation or inequality involving absolute values.
So we start treating the inequality for two cases:
(1) for the case when x-3 >=0, fo which the absolute value is the same what is inside the vertical brackets:
(2) for the other case of x-3<0, in which case we need that extra minus sign:
So putting both cases together, the solution to the inqueality is an x falling to either of the two intervals: x>=8 or x<=-2, which corresponds to choice (D).
Answer:
60.8 mm^2
D
Step-by-step explanation:
Remark
You have to assume that the left and right sides are both 9.3. The question is undoable without that assumption.
Next, you have to assume that The top is 7.8 mm across and both ends meet 9.3 at right angles. Again if that is not true, the problem can't be done. Sometimes people making these questions make errors which you are asked to correct.
Solution
So let's assume that everything I've assumed is correct.
Find the area of the rectangle.
Area = L*W
L = 9.3
W = 7.8
Area = 7.8 * 9.3
Area = 72.54 Do your rounding at the end.
Now find the are of the triangle that has been cut out.
The height = 3
The base = 7.8
Area = 1/2 b * h
Area = 1/2 7.8 * 3
Area = 11.7
The area of the figure = area of the rectangle - the triangle's area
Figure Area = 72.54 - 11.7
Figure Area = 60.84
Using the uniform distribution, it is found that the mathematical expression for the probability density function of battery recharging time for this scenario is given by:
, elsewhere.
<h3>What is the uniform probability distribution?</h3>
It is a distribution with two bounds, a and b, in which each outcome is equally as likely.
The probability density function is:
, elsewhere.
In this problem, the actual recharging time required is uniformly distributed between 70 and 110 minutes, hence a = 70, b = 110, and the density function is:
, elsewhere.
More can be learned about the uniform distribution at brainly.com/question/13889040
Answer:0
Step-by-step explanation: 36 divided by 12 equals 3
Answer:
domain: (-∞ ,∞)
range: (2,∞ )
Step-by-step explanation:
