Y=x/4+1/2 find the x and y Pls help asap
1 answer:
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Question:
Three students were working on 630,000÷700 in math class.
a. Desiree finds the quotient is 9,000 and Micah finds the quotient is 900.
Determine which student found the correct quotient.
b. Delilah finds her answer is 90, but she copied the expression incorrectly from the board. If her reasoning and answer for the expression she copied are correct, what expression might she have written?
Answer:
a. Micah is correct
b.
Step-by-step explanation:
Given
Solving (a): Who is correct?
To do this, we first calculate the quotient of the expression.
Divide 630000 by 700
Hence:
Micah is correct
Solving (b): What Delilah must have copied?
We have:
There are no options to pick from. So, we just need to work out expressions that equals 0.
Possible expressions are:
Yes.
It can be proved by contradiction.
Let:
a - a rational number
b - an irrational number
c - the sum of a and b
Let assume that c is a rational number. Then a and c can be expressed as fractions with integer numerator and denominator:
where 
Since
are all integers, then the products 
and the difference 
are integers as well. It means that the number 
is a rational number, but this on the other hand contradicts the earlier assumption that is an irrational number. Therefore 
must be an irrational number.
It can be proved by contradiction.
Let:
a - a rational number
b - an irrational number
c - the sum of a and b
Let assume that c is a rational number. Then a and c can be expressed as fractions with integer numerator and denominator:
Since