Answer:
d
Step-by-step explanation:
The red graph is an enlargement of the black graph.
Note coordinates of vertices of black graph to coordinates of red graph
(2, 2 ) → (2, 4 )
(4, - 2 ) → (4, - 4 )
(- 2, - 2 ) → (- 2, - 4 )
The y- coordinates of the red graph are twice the y- coordinates of the black graph.
and
= f(x) ← multiply both sides by 2
y = 2f(x) ← as required, thus
equation of red graph is
= f(x) → d
Graph this compound inequality 2.5 is equal to or less than x is equal to or less than 4.5
2.5 <= x < = 4.5
We graph this inequality using number line.
Here x lies between 2.5 and 4.5
While graphing, we start with closed circle at 2.5 because we have equal symbol .
Then shade till 4.5. Use closed circle at 4.5.
The graph is attached below.
Answer:
B.
Step-by-step explanation:
Here the best method to solve is by substituting the end values of the set in each option , otherwise it will a time consuming problem.
Now substitute x=-4 in all the options
A.
16+8-8=16>0
so out of option A and C option C is correct.
B.
16-8-8=0 which means for the values of x>-4 is less than 0
Now substitute x=2 in all the options
A.
4-4-8=-8<0 . so option A and C both are incorrect.
B.
4+4-8=0 which means for the values of x<2 is less than 0
Therefore the correct option is B
Answer:
The value is
Step-by-step explanation:
From the question we are told that
The probability that the student knows the answer to the question is
The probability that that the student will guess is
The probability that that the student get the correct answer given that the student guessed is
Here W denotes that the student gets the correct answer
Generally it a certain fact that if the student knows the answer he would get it correctly
So the probability the the student got answer given that he knows it is
Generally from Bayes theorem we can mathematically evaluate the probability that the student knows the answer given that he got it correctly as follows
=>
=>