Well an <span>an </span>irrational number<span> is a real </span>number that cannot be expressed as a ratio of integers, i.e. as a fraction. A rational number<span> is a </span>number<span> that can be written as a ratio. So 3/7 is a rational number, 0.38(with a line saying its continuous over .38) is rational, Square of 7/9 is irrational number, and 5 pi is an irrational number.</span>
<h3>
Answer: C. (x+6) is a factor of p</h3>
Explanation:
p(-6) = 0 means that plugging x = -6 into p(x) leads to p(x) = 0.
If (x+6) was a factor of p(x), then we can say
p(x) = (x+6)q(x)
where q(x) is some other polynomial. Now let's replace x with -6
p(x) = (x+6)q(x)
p(-6) = (-6+6)q(-6)
p(-6) = 0*q(-6)
p(-6) = 0
The value of q(-6) doesn't matter as multiplying 0 with any number leads to 0.
This is all based on the special case of the remainder theorem that says "if p(k) = 0, then (x-k) is a factor of p(x)".
The population of the island with growth rate of 4.5% per year and the current population is 1500 is 1953 after 6 years.
<h3>How to solve an
exponential function</h3>
Let y represent the population after x years.
Given that the growth rate is 4.5% per year and the current population is 1500.
Hence a = 1500, b = 100% + 4.5% = 104.5% = 1.045
y = 1500(1.045)ˣ
After 6 years:
y = 1500(1.045)⁶ = 1953
The population of the island with growth rate of 4.5% per year and the current population is 1500 is 1953 after 6 years.
Find out more on exponential function at: brainly.com/question/12940982
