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kicyunya [14]
3 years ago
10

Let f(x)=3^x

Mathematics
1 answer:
suter [353]3 years ago
7 0
As your -2 is directly affecting the x with addition/subtraction, it is a translation horizontally. To find direction, change the sign, from negative to positive, making it go right. This means it will be translated 2 units to the right, fitting the first statement. For your +5, it is not directly affecting the x, making it a translation vertically. As it's positive, it goes up, making it a translation 5 units up, fitting statement 4. This makes your correct statements 1 and 4.
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SELECT ALL the expressions that are equivalent to -2(4 - 3x) + (5x - 2)
erma4kov [3.2K]

Answer:

Option B, c and e are the correct

7 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'.

Given:

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
some of the apollo missions transported astronauts from earth to moon. the travel time was about 3 days and about 385,000 kilome
lord [1]
3,322.609847222222 mph. First covert miles to km. This distance is 239227.909 miles. then divide this by the number of hours which is number of days times 24. It took 3 days so it is 72 hours. After diving 239227.909/72 you get your answer of 3,322.609847222222 mph
5 0
3 years ago
The circumference of the yellow circle is about for 2.5
ikadub [295]
What are you asking to solve?
6 0
2 years ago
Read 2 more answers
45% of 20 is what I need help and I need u to explain it please thank u
lora16 [44]
45% of 20
20  times 0.45
= 9 
The answer is 9
5 0
3 years ago
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