The sum of numbers is = 
First find the least common denominator of 1/6, 4/5, and 2/3. The least common denominator of that list is: 30.
= 1/6 + 4/5 + 2/3
= 
= 49 / 30
The sum of numbers in mixed fraction =
<h3>What is mixed fraction?</h3>
A fraction represented with its quotient and remainder is a mixed fraction. For example, 2 1/3 is a mixed fraction, where 2 is the quotient, 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction.
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The functions are illustrations of function transformations
The transformation from f(x) to g(x) is reflecting across the y-axis, and then shifting 2 units up
<h3>How to determine the transformations</h3>
The equation of the function is given as:
The parent function of the above equation is:
First, the function f(x) is reflected across the y-axis to give
Next, the function is shifted 2 units up.
So, we have:
Rewrite as:
Express f(-x) + 2 as g(x).
So, we have:
Hence, the transformation from f(x) to g(x) is reflecting across the y-axis, and then shifting 2 units up
Read more about function transformation at:
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Answer:
-12
Step-by-step explanation:
Answer:
A 5
Step-by-step explanation:
Parts on the left have the same ratio as parts on the right.
... x/(x+5) = (x -2)/(x +1)
Multiplying by (x+5)(x+1), we get
... x(x +1) = (x -2)(x +5)
... x² +x = x² +3x -10 . . . . eliminate parentheses
... 0 = 2x -10 . . . . . . . . . . subtract x²+x
... 0 = x -5 . . . . . . . . . . . . divide by 2
... 5 = x . . . . . . . . . . . . . . . add 5
Answer:
7.04
Step-by-step explanation:
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