HELP ME ASAP Part D
Now examine the sum of a rational number, y, and an irrational number, x. The rational number y can be written as y=
where a and b are integers and b*0. Leave the irrational number xas x because it can't be written as the ratio of two
integers.
Let's look at a proof by contradiction. In other words, we're trying to show that x + y is equal to a rational number instead
of an irrational number. Let the sum equal", where mand n are integers and n#0. The process for rewriting the sum for
x is shown
Statement
Reason
substitution
Subtraction property of equality
*+---
=-
x = () ) - ()
Create common denominators
x=
Simply
Based on what we established about the classification of x and using the closure of integers, what does the equation tell
you about the type of number x must be for the sum to be rational?
What conclusion can you now make about the result
of adding a rational and an irrational number?
B / X X Font Sures. AAEEEN-
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High school seniors with strong academic records apply to the nation’s most selective colleges in greater numbers each year. because the number of slots remains relatively stable, some colleges reject more early applicants. suppose that for a recent admissions class, an ivy league college received 2851 applications for early admission. of this group, it admitted 1033 students early, rejected 854 outright, and deferred 964 to the regular admission pool for further consideration. in the past, this school has admitted 18% of the deferred early admission applicants during the regular admission process. counting the students admitted early and the students admitted during the regular admission process, the total class size was 2375. let e, r, and d represent the events that a student who applies for early admission is admitted early, rejected outright, or deferred to the regular admissions pool.suppose a student applies for early admission. what is the probability that the student will be admitted for early admission or be deferred and later admitted during the regular admission process?