Answer:
x<6
Step-by-step explanation:
x+1 < 7
Subtract 1 from each side
x+1-1<7-1
x <6
Answer:
see attached
Step-by-step explanation:
y-2=-2(x+4)
y -2 = x(-2) + 4(-2)
y -2 = -2x - 8
y = -2x - 8 + 2
y = -2x - 6
When x = 0, y = -6. Hence (0,-6) is a point on the line
when y = 0, x = -3. Hence (-3,0) is a point on the line.
Plot these 2 points and connect with a line (see attached)
Answer:
Domain: 
Range: 
Step-by-step explanation:
The domain is the set of real values which can be inputted into a function and produce a real output. In this case, the domain is the following:
, because this is the set of real values for which the function will produce a real output.
The range is the set of real values which a function outputs when a value from the domain is entered into the function. This is the set of y-values that one can see on the graph, the possible y-values are in between (-3) and (6).
Answer:
Step-by-step explanation:
(a) 3 of the 6 numbers on the die are even, so the probability that one of them will show is 3/6 = 1/2.
__
(b) 2 of the 6 numbers on the die are less than 3, so the probability that one of them will show is 2/6 = 1/3.
A (-5, 6)
B (-5, 2)
C (-9, 2)
D (-9, 6)
As it is just a rotation around the origin by 180, you can just change the sign in front of the numbers :)