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Answer:
⇒When the funtion is both one one and onto , then inverse of the function exists.
⇒≡Consider the function
y=x+2
It is one-one, because for every x there is unique y.So, it is one one.In one-one, there may be some elements in x, which do not have preimage.
It is onto also, because for each x, there is unique y.
So, the inverse of function will be
x=y-2
Replacing x by y and y by x , gives inverse of the function.
y=x-2, is the inverse of the function.
Answer: it takes themApproximately 2.7 hours to paint the house together
Step-by-step explanation:
Sam can paint a house in 8 hours. This means that sam's unit rate of working is 1/8
Joe can paint the same house in 4 hours.
This means that Joe's unit rate of working is 1/4
If they work together, it would take them lesser time because they are working simultaneously. This means that their unit rates are additive. Combining their unit rates, it becomes
1/8 + 1/4 = 3/8
Assuming that if they work together, it will take them t hours. Therefore, Their unit rate of working will be 1/t.
Therefore,
3/8 = 1/t
3t = 8
t = 8/3 = 2.667
Approximately 2.7 hours
Answer:
-20/35 if you simplify it would be -4/7
Step-by-step explanation:
Answer:
vol = 62 in³
Step-by-step explanation:
First determine r (see attached image) by using pythagorean theorem.
a² = b² + c²
a = 3 in
b = 3/2 = 1.5 in
c = r
3² = 1.5² + r²
r =
r = 2.598 in
Get the area = n/2 * a * r
n = number of sides = 6
r = 2.598 in
Area = 6/2 * 3 * 2.598
Area = 23.38 in²
get the volume = 1/3 * Area * h
Area = 23.38 in²
h = 8 in (as given)
vol = 1/3 * 23.38 * 8
vol = 62 in³