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Solnce55 [7]
3 years ago
13

HELP PLEASE!! Function G is a transformation of the parent exponential function. Which STATEMENTS are true about function g.

Mathematics
1 answer:
seraphim [82]3 years ago
8 0

Answer:

c. function g has A y intercept of (0,4)

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What kind of Function best models the Data in the table?
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a) linear

Step-by-step explanation:

Linear keeps a steady pace throughout the function. in the graph, the function is decreasing by 0.5

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3 years ago
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120 sweets are shared out into three piles, in
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Answer:

35

Step-by-step explanation:

3+4+1=8

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4 0
3 years ago
In 2018, the population will grow over 700,000.The population of a city in 2010 was 450,000 and was growing at a rate of 5% per
Firlakuza [10]

Answer:

The year is 2020.

Step-by-step explanation:

Let the number of years passed since 2010 to reach population more than 7000000 be 'x'.

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Initial population is, P_0=450,000

Growth rate is, r=5\%=0.05

Final population is, P=700,000

A population growth is an exponential growth and is modeled by the following function:

P=P_0(1+r)^x

Taking log on both sides, we get:

\log(P)=\log(P_0(1+r)^x)\\\log P=\log P_0+x\log (1+r)\\x\log (1+r)=\log P-\log P_0\\x\log(1+r)=\log(\frac{P}{P_0})\\x=\frac{\log(\frac{P}{P_0})}{\log(1+r)}

Plug in all the given values and solve for 'x'.

x=\frac{\log(\frac{700,000}{450,000})}{\log(1+0.05)}\\x=\frac{0.192}{0.021}=9.13\approx 10

So, for x > 9.13, the population is over 700,000. Therefore, from the tenth year after 2010, the population will be over 700,000.

Therefore, the tenth year after 2010 is 2020.

8 0
3 years ago
An astronomical unit (AU) is the average distance between Earth and the sun. One AU is equal to approximately 150,000,000 km. As
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7 0
3 years ago
What is the answer to the equation 5x=2x+20?
Agata [3.3K]

I don't know.  But I know how to find it.  Let's work it out together:

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Subtract  2x  from each side:    3x  =  20

Divide each side by  3 :              <em>x  =  20/3</em>  or    ( 6 and 2/3 ).


3 0
3 years ago
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