2 years ago

Select the correct answer.

Mathematics

1 answer:

gizmo_the_mogwai [7]2 years ago

7 0

Answer:

Factors are (x-1), (x+1), and (x+2).

Step-by-step explanation:

$g(x)=x^{3}+2x^{2} -x-2\\g(x)=(x - 1) (x + 1) (x + 2)$

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4/3x + 1/6x = 36 (solve for x please help I have no idea what it is!!!!!!!

ElenaW [278]

Answer:

x = 24

Step-by-step explanation:

$\frac{4}{3}$ x + $\frac{1}{6}$ x = 36

Make the denominator the same by multiplying the first fraction by 2 to make both denominators 6.

$\frac{8}{6}$ x + $\frac{1}{6}$ x = 36

Now we can calculate the numerators and keep the denominators the same.

$\frac{9}{6}$ x = 36

Find x.

$\frac{6}{6}$ x = $\frac{6}{9}$ × 36

x = 24

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2 years ago

The number of employees at a company is decreasing by 9.5% yearly. Currently there are 12,640 employees working at the company.

pychu [463]

Answer:

12546

Step-by-step explanation:

9.5% = 0.95 = 95

12,640 - 95 = 12546

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2 years ago

226Ra has a half-life of 1599 years. How much is left after 1000 years if the initial amount was 10 g?

Ray Of Light [21]

$\bf \textit{Amount for Exponential Decay using Half-Life}\\\\
A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{initial amount}\to &10\\
t=\textit{elapsed time}\to &1000\\
h=\textit{half-life}\to &1599
\end{cases}
\\\\\\
A=10\left( \frac{1}{2} \right)^{\frac{1000}{1599}}$