Answer:
C) 3 sets of -2 tiles
Step-by-step explanation:
Its -2 three times, making it -6
If you multiply a positive and negative it is always negative
(x,y)
east is an increase in x
west is a decrease in x
north is an increase in y
south is a decrease in y
so
3 east (x+3)
1 block south (y-1)
6 blocks west (x-6)
5 blocks north (y+5)
so in total, x+3-6 and y-1+5
basically x-3 and y+4
minus 3 from and add 4 to y
(1,-2)
(1-3,-2+4)
(-2,2) is the dropoff point
Answer:
See explanations below
Step-by-step explanation:
Given the function
f(x) = 3x+12
Let y = f(x)
y = 3x+12
Replace y with x
x = 3y+12
Make y the subject
3y = x-12
y = (x-12)/3
Hence the required inverse is!
g(x) = (x-12)/3
b) To show that the functions are inverses, we must show that f(g(x)) = g(f(x))
f(g(x)) = f((x-12)/3)
Replace x in f(x) with x-12/3
f(g(x)) = 3(x-12)/3 +12
f(g(x)) = x-12+12
f(g(x)) = x
Similarly for g(f(x))
g(f(x)) = g(3x+12)
g(f(x)) = (3x+12-12)/3
g(f(x)) = 3x/3
g(f(x)) = x
Since f(g(x)) = g(f(x)) = x, hence they are inverses of each other
c) Given f(g(x)) = x
f(g(–2)) = -2
The domain is the input variable of the function. Hence the domain is -2
Answer:
12 2/3 km/hour or 12.666 km/hour
Step-by-step explanation:
Because 3 1/6 is the rate for every quarter hour, simply multiply that rate by 4 in order to get the average speed over the course of an hour.
Answer:
143
Step-by-step explanation:
Substitute n=3 into the problem
6(
)-2(
) +3-4
Then figure out squared and power by 3
6(27)-2(9)+3-4
Next multiply
162-18+3-4
Finally, add and subtract
144+3=147
147-4=143
