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Tasya [4]
3 years ago
13

Given f(x) = 3x – 2 what is f (2x)?

Mathematics
2 answers:
EastWind [94]3 years ago
8 0

Answer:

I think it is   ---->  m = 3

Step-by-step explanation:

Naily [24]3 years ago
3 0

Answer:

6x - 2

Step-by-step explanation:

f(2x) = 3(2x) - 2

f(2x) = 6x - 2

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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

a)

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

\begin{gathered} N(t)=23900(1+0.00984)^t_{} \\ N(t)=23900(1.00984)^t \end{gathered}

Hence, the exponential growth function is

N(t)=23900(1.00984)^t

b)

For the population of the city in 2022,

\begin{gathered} t=2022-2007=15 \\ t=15 \end{gathered}

Substitute for t into the exponential growth function

\begin{gathered} N(t)=23900(1.00984)^t \\ N(15)=23900(1.00984)^{15} \\ N(15)=27700\text{ (nearest hundred)} \end{gathered}

Hence, the population is 2022 is 27700 (nearest hundred)

8 0
1 year ago
8+3.4/2 <br> please help!!!!!
daser333 [38]
8+3 = 11.
4/2 = 1 and 1/2
Hopefully this is the stuff your looking for
8 0
3 years ago
Read 2 more answers
How do you find the mean for 10 31 36 36 38 42 47 48 49 52
Lana71 [14]

Answer: 38.9


Step-by-step explanation:

Add all the numbers together and divide  the sum by how many numbers there are.

8 0
3 years ago
How do you solve for y in this equation 20=x•y
Galina-37 [17]
Transpose the y into the left part of the equation and the 20 should be on the right

y= -20x
8 0
4 years ago
Use the distance formula to find the distance between each pair of points. Round your answers to the nearest hundredths place W
Elodia [21]

Answer:

The answer is

<h2>5.83 units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

d =  \sqrt{ ({x1 - x2})^{2} +  ({y1 - y2})^{2}  }  \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

W (-3,-5) and T (2,-2)

The distance between them is

|WT|  =  \sqrt{ ({ - 3 - 2})^{2} + ( { - 5 + 2})^{2}  }  \\  =  \sqrt{ ({ - 5})^{2} + ( { - 3})^{2}  }  \:  \:  \:   \\  =  \sqrt{25 + 9}  \\  =  \sqrt{34}  \:  \:  \:  \:  \:  \:  \:  \:  \\  = 5.830951

We have the final answer as

<h3>5.83 units to the nearest hundredth</h3>

Hope this helps you

3 0
3 years ago
Read 2 more answers
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