Write the equation of a line that passes through (-1, -2) and has a slope of 2 in point-slope form. 2.) Given the function f(x)=5x^2-2f ( x ) = 5 x 2 − 2, find f(-3)f ( − 3 ). Please show your work.

3.) For inequalities, when do you use a solid line versus a dotted line? How is the shading determined?

Step-by-step explanation:

Equation of straight line: y=mx+b

Given slope=2, hence m=2

y=2x+b

Replace y and x values as stated in the question (-1, -2)

(-2)=2(-1)+b

-2+2=b

b=0

rewrite the equation:

y=2x+0

y=2x

For 3) a solid line is used when the equation is <= or => while dotted line is for when the equation is < or >

Could you elaborate on question 2? I dont quite get what the question is asking for

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.