The inverse relation of the function f(x)=1/3x*2-3x+5 is f-1(x) = 9/2 + √(3x + 21/4)
<h3>How to determine the inverse relation?</h3>
The function is given as
f(x)=1/3x^2-3x+5
Start by rewriting the function in vertex form
f(x) = 1/3(x - 9/2)^2 -7/4
Rewrite the function as
y = 1/3(x - 9/2)^2 -7/4
Swap x and y
x = 1/3(y - 9/2)^2 -7/4
Add 7/4 to both sides
x + 7/4= 1/3(y - 9/2)^2
Multiply by 3
3x + 21/4= (y - 9/2)^2
Take the square roots
y - 9/2 = √(3x + 21/4)
This gives
y = 9/2 + √(3x + 21/4)
Hence, the inverse relation of the function f(x)=1/3x*2-3x+5 is f-1(x) = 9/2 + √(3x + 21/4)
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Answer:
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Step-by-step explanation:
Answer:
Part A) 
B) length of BC = x + 12 = x + 12 = 11 + 12 =23
length of EF = 4x - 18 = 4(11) - 18 = 44 - 18 =26
length of AD = 3x - 18 = 3(11) - 4 = 33 - 4 =29
Step-by-step explanation:
Median of trapezium is 
In provided figure, base1 is x+12 and base2 is 3x-4
A) solve for value of x
calculate the median
B) To find the length of BC, AD and EF , put the value of x in equation of lines
length of BC = x + 12 = x + 12 = 11 + 12 =23
length of EF = 4x - 18 = 4(11) - 18 = 44 - 18 =26
length of AD = 3x - 4 = 3(11) - 4 = 33 - 4 =29
The price per foot would be .84 cents, 1 yard equals 3 feet so 2 yards is 6 feet. if you take $5.04 and divide it by 6 then you get 0.84
