Answer:
D
Step-by-step explanation:
The equation would be y = -2x+3. If we take y+2x=3, and subtract 2x from both sides, we get y = -2x+3, which is the right equation.
The value of |x| + 2 is always positive and greater than |x|.
The correct question is as below:-
Use complete sentences to explain why |x| + 2 > |x|.
<h3>What is an expression?</h3>
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
The given expression is as follows:-
|x| + 2 > |x|.
Here x is in the mode so any number either negative or positive it will always give you a positive number. For an example put x = -5 in the above expression.
|-5| + 2 > | -5 |
5+ 2 > 5
7 > 5
Put -1 at the place of x
|-1| + 2 > |-1|
1 + 2 > 1
3 .> 1
As we can see in the above two examples for every value of x there will be a positive number and the value of |x|+2 is always greater than |x|.
Therefore the value of |x| + 2 is always positive and greater than |x|.
To know more about expression follow
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Answer:
Lamda= 4 students/min, µ= 5 students/min
P= Lamda/µ= 4/5= 0.8
a.) Probability that system is empty= P0= 1-P= 1-0.8= 0.2
b.) Probability of more than 2 students in the system= ∑(n=3 to inf) P^n*P0= (1-P)*(1/(1-P) – (1-P) –(1-P)*P –(1-P)*P^2)= (.2)*(5- - .2 - (.8)*.2 – (.2)*.8^2))= 0.848
Probability of more than 3 students in the system= ∑(n=4 to inf) P^n*P0= (1-P)*(1/(1-P) – (1-P) –(1-P)*P –(1-P)*P^2 – (1-P)*P^3)= 0.768
c.) W(q)= Waiting time in Queue= lamda/µ(µ- lamda)= 4/5(1)= 0.8 minutes
d.) L(q)= lamda*W(q)= 4*.8= 3.2 students
e.) L(System)= lamda/(µ-lamda)= 4 students.
f.) If another server with same efficiency as the 1st one is added, then µ= 6 sec/student= 10 students/min.
P= 4/10= 0.4
Probability that system is empty= P0= 1-.4= 0.6
W(q)= 4/10(10-4)= 0.0667 minutes
L(q)= Lamda*W(q)= 4*.0667=0.2668
L(system)= Lamda/(µ-lamda)= 4/6= .667
Step-by-step explanation:
Answer:
3(x-7) – x=2x-21 <em>( the equation)</em>
--> infinitely many solutions
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
