Select all expressions that are equivalent to 5x + (x+6) +3x.

Mathematics

1 answer:

zhuklara [117]3 years ago

6 0

Answer:

9x + 6 and 6x + 6 + 3x

Step-by-step explanation:

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I can't do anything with this equation.

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4 years ago

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Given f(x) = x3 – 2x2 – x + 2, the roots of f(x) are

kolezko [41]

You have the following expression given in the problem:

f(x) = x³ – 2x²<span> – x + 2

Therefore, to find the roots, you must apply the proccedure shown below:

1. You have:

0 </span><span>= x3 – 2x2 – x + 2

2. Then, when you factor, you obtain:

(x-2)(x-1)(x+1)=0

3. Therefore, you have that the roots are the following:

x1=-1
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Step-by-step explanation:

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solve the problem related to population growth.A city had a population of 23,900 in 2007 and a population of 25,100 in 2012.(a)

Finger [1]

Solution

To find the exponential growth function, we apply the exponential growth formula which is

$N(t)=a(1+k)^t$

Where

$\begin{gathered} a\text{ is the }initial\text{ population} \\ k\text{ is the growth rate} \\ t\text{ is the number of time intervals} \end{gathered}$

Given that

$\begin{gathered} a=23,900 \\ N(5)=25,100 \\ t=2012-2007=5 \end{gathered}$

Substitute the variables into the exponential growth formula

$\begin{gathered} 25100=23900(1+k)^5 \\ \text{Divide both sides by 23,900} \\ \frac{25100}{23900}=\frac{23900(1+k)^5}{23900} \\ 1.05021=(1+k)^5^{} \\ \sqrt[5]{1.05021}=1+k \\ 1.00984=1+k \\ \text{Collect like terms} \\ k=1.00984-1 \\ k=0.00984 \end{gathered}$

Hence, the exponential growth function is