A relation is a function if it has only One y-value for each x-value. Functions f(2/3)=2/9 for f(x)=2x²-4x+2 and f(1/4)==-21/4 for f(x)=4x²+2x-6
<h3>What is a function?</h3>
A relation is a function if it has only One y-value for each x-value.
The given function is
f(x)=2x²-4x+2
Put x=2/3
f(2/3)=2(2/3)²-4(2/3)+2
=2(4/9)-8/3+2
=8/9-8/3+2
=(8-24+18)/9
f(2/3)=2/9
Now f(x)=4x²+2x-6
Put x=1/4
f(1/4)=4(1/4)²+2(1/4)-6
=4/16+2/4-6
=1/4+1/2-6
= 1+2-24/4
f(1/4)==-21/4
Hence functions f(2/3)=2/9 for f(x)=2x²-4x+2 and f(1/4)==-21/4 for f(x)=4x²+2x-6
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We have to divide 9/10 by 3/12.
if we divide by a fraction, we can instead multiply by it's inverse:
![\frac{9}{12}/ \frac{3}{12} = \frac{9}{12} * \frac{12}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B9%7D%7B12%7D%2F%20%5Cfrac%7B3%7D%7B12%7D%20%20%3D%20%5Cfrac%7B9%7D%7B12%7D%20%2A%20%5Cfrac%7B12%7D%7B3%7D%20)
so now we count:
![\frac{9}{12} * \frac{12}{3} =\frac{9}{1} * \frac{1}{3}=3](https://tex.z-dn.net/?f=%20%5Cfrac%7B9%7D%7B12%7D%20%2A%20%5Cfrac%7B12%7D%7B3%7D%20%3D%5Cfrac%7B9%7D%7B1%7D%20%2A%20%5Cfrac%7B1%7D%7B3%7D%3D3%20)
so we can cut exactly 3 pieces!
36....we need to break this down...12 * 3 = 36
12 * 3....we can break this down because 12 is not prime...4 * 3 = 12
4 * 3 * 3...we can break the 4 down because it is not prime
2 * 2 * 3 * 3 <==== prime factorization
Answer:
the ratio of the following x is 3/4