Question 3 (2 points) (07.06)

What statement correctly describes the key features of the graph of f(x) = −3( one third )x + 1 − 2? (2 points)

a
Y-intercept of (0, −3), starts down on the left, gets closer to y = −2 on the right

b
Y-intercept of (0, −3), starts up on the left, gets closer to y = −2 on the right

c
Y-intercept of (0, 2), starts down on the left, gets closer to y = −1 on the right

d
Y-intercept of (0, 2), starts up on the left, gets closer to y = −1 on the right

b

Step-by-step explanation:

the answer is A

Step-by-step explanation:

We are given the function,

Now, we know,

'Y-intercept is the point when the graph crosses the y-axis i.e. when x = 0'.

So, we have,

i.e.

i.e.

i.e. f(0)= -3

So, the y-intercept is (0,-3).

Thus, options C and D are not correct.

Moreover, from the figure below, we see that,

The graph starts down on the left and goes closer to y= -2 on the right.

Hence, option A is correct.

you need to show the graph

step-by-step explanation:

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.