Part V: If −1 is one of the roots of H(x) = x3 − 7x2 − x + 7, use synthetic division to find the resulting quadratic expression.
1 answer:
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One way to figure this out is to you can set up two equivalent fraction problems to figure out in both cases how many times the adult and twelve year old each blink in 60 minutes.
Adult blinks:
Child blinks:
In the "adult blinks" problem, you know that 30 is half of 60 - you can then multiply the numerator 450 x 2 to get 900 blinks per 60 min.
In the "child blinks" problem, 15 is one-quarter of 60, so you can multiply the numerator 150 x 4 to get 600 blinks per 60 min.
You can then just subtract the two new numerators, 900 - 600, to find that the adult blinks 300 more times than the 12-year-old in 60 minutes.
Adult blinks:
Child blinks:
In the "adult blinks" problem, you know that 30 is half of 60 - you can then multiply the numerator 450 x 2 to get 900 blinks per 60 min.
In the "child blinks" problem, 15 is one-quarter of 60, so you can multiply the numerator 150 x 4 to get 600 blinks per 60 min.
You can then just subtract the two new numerators, 900 - 600, to find that the adult blinks 300 more times than the 12-year-old in 60 minutes.
Answer:
± 13
Step-by-step explanation:
= ± 13, since
13 × 13 = 169 and - 13 × - 13 = 169
and
are not real numbers
A real number is any positive or negative number. This includes all integers and all rational and irrational numbers
They are called "Real Numbers" because they are not Imaginary Numbers.
When you take an even root of a negative number, there is no real answer. (2 is an even number)
In the real number set, you can't take an even-indexed root of a negative number.
Given options are:
Looking at the answer choices here, we can see that A and D use even roots, so they will give non-real answers.
Thus and
are not real numbers