Austen needs to buy a bathroom mirror that is 2 feet wide and 3 feet long. If the mirror
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Answer:
The three consecutive integers are 12, 13, 14.
Step-by-step explanation:
Encode the question in an equation. We are given two facts: (1) the three integers are consecutive, and (2) they relate to each other through a sum.
Pick any of the integers (first, second, or third) and call it n. Then write the two others correspondingly in terms of n. I pick the middle one as n, so the three consecutive integers are (n-1), n, (n+1). That's (1). As for (2), here is the fact:
Lo and behold, one equation with one unknown! Easy to solve for n to give us the middle integer, n:
The three consecutive integers are 12, 13, 14.
To the nearest tenth the zeroes are:
EXPLANATION
The constant term is 2, and the coefficient of the highest degree is -5 so test all rational factors of
These are;
Good for us the very first one is a root. Therefore,
is a root. These also means that
is a factor. Therefore we perform long division to find the other factors as follows.
We can now factor the polynomial as,
This implies that,
Which gives us
Or
We complete the square to obtain,
Taking square root of both sides gives;
This implies
EXPLANATION
The constant term is 2, and the coefficient of the highest degree is -5 so test all rational factors of
These are;
Good for us the very first one is a root. Therefore,
is a root. These also means that
is a factor. Therefore we perform long division to find the other factors as follows.
We can now factor the polynomial as,
This implies that,
Which gives us
Or
We complete the square to obtain,
Taking square root of both sides gives;
This implies