2 years ago

How to find the number of complex roots of a polynomial.

Mathematics

1 answer:

alexira [117]2 years ago

4 0

If the polynomial has Real coefficients

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The population of a community, p(x), is modeled by this exponential function, where x represents the number of years since the p

NeX [460]

An exponential model is used to represent growth of a population

The population after 3 years is 2585

The function is given as:

$\mathbf{P(x) = 2400(1.025)^x}$

<em>3 years after</em>, means that x = 3

So, we have:

$\mathbf{P(3) = 2400(1.025)^3}$

Evaluate exponents

$\mathbf{P(3) = 2400 \times 1.076890625}$

$\mathbf{P(3) = 2584.5375}$

Approximate

$\mathbf{P(3) = 2585}$

Hence, the population after 3 years is 2585

Read more about population growth at:

brainly.com/question/3160736

5 0

3 years ago

BRAINLIEST can someone please help!!!!!

Zielflug [23.3K]

I don't know about the first one but for the second one:

${2}^{3x + 2} - {2}^{3x} = 48 \\ \Leftrightarrow {2}^{3x} {2}^{2} - {2}^{3x} = 48 \\ \Leftrightarrow {2}^{3x} ( 4 - 1) = 48 \\ \Leftrightarrow 3 \times {2}^{3x} = 48 \\ \Leftrightarrow {2}^{3x} = 16 \\ \Leftrightarrow {2}^{3x} = {2}^{4} \\ \Leftrightarrow 3x = 4\Leftrightarrow x = \frac{4}{3}$