Answer:
6,469!
Step-by-step explanation:
180-20=160
53-33=20
160*20=3,200
3,269+3,200=6,469
To solve
this exercise, we must calculate the Maximum Common Divisor (M.C.D.), which is the greatest common divisor of 62,108 and 180. We apply factor decomposition, and we
obtain:
162= (3^4)(2)
108= (2^2)(3^3)
180= (2^2)(3^2)(5)
We choose
the common numbers with their lowest exponent:
M.C.D.= (2)(3^2)
M.C.D.= 2x9
M.C.D.= 18
The greatest number of baskets that can be made is: 18 baskets
To know how
many apples, oranges and bananas are in each basket, we must divide the
greatest number of them that can be made between the total amount of apples,
oranges and bananas, as shown below:
162/18= 9 apples
108/18= 6 oranges
180/18= 10 bananas
So, there are 9 apples, 6 oranges and 10 bananas in each basket.
Answer:
f-¹(x) = (4- x)/ 3
Step-by-step explanation:
inverse of a function is nothing but the value of x in terms of f(x)
like
if we write f(x) as y we'd get
y = - 3x + 5
so, ill express x in terms of y:-
y= -3x + 4
- adding 3x on both sides of the equation
y + 3x = -3x + 3x + 4
- subtracting y on both sides
y - y + 3x = 4 - y
3x = 4 - y
- dividing the whole equation by 3
x = (4 - y)/ 3
soo, the inverse of the function is x = (4- y)/ 3
mostly we write the inverse in terms of x, hey! don't get confused, when i say this, I simply mean that we're gonna replace y with x and x with f-¹(x).
therefore,
f-¹(x) = (4- x)/ 3
