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OverLord2011 [107]
3 years ago
10

FIND INVERSE OF Y=3X+9/7

Mathematics
1 answer:
Mars2501 [29]3 years ago
8 0

Answer: To find the inverse, interchange the variables and solve for y.

f−1(x)=x3−37

Step-by-step explanation:

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From 1990 to 2000, the population of Florida increased by 2.13% per year. The population (in millions) in the year 1990 was 16 E
belka [17]

Answer:

19 million

Step-by-step explanation:

So generally whenever we express a exponential function, it's in the form: y=a(b)^x

where a=initial value aka when x=0

in this case, b can be expressed as: 1+r, where r is the growth rate, which in this case is 2.13%, and expressing that as a decimal (divide by 100), r=0.0213, thus b=1.0213

This gives us the following equation: y=16(1.0213)^x

To kind of give you a intuitive reason as to why this makes sense, think of that 1.0213 wrapping around the previous value.

So when x=0, it's actually just 16, since any number (besides 0) to the power of 0, equals 1.

When x=1, we get: 1.0213(16), which can be expressed as a 2.13% increase from year 0

When x=2, we get: 1.0213(1.0213(16)), which can be expressed as a 2.13% increase from year 1

when x=3, we get: 1.0213(1.0213(1.0213(16))), which can be expressed as a 2.13% increase from year 2.

In other words, each year we're getting another 1.0213 to multiply by (very definition of an exponent).

So to calculate the population in 1997, we put in x=7, since it's 7 years after 1990

We get the following equation: y=16(1.0213)^7

Using a calculator this simplifies to approximately: 18.5436

Rounding this to the nearest integer would yield 19, and since the values are expressed in millions, the answer would be 19 million

4 0
1 year ago
Please help with this question
alisha [4.7K]
Yes because 4x3^x =12^x since the coefficient is added to the answer because it is in the 3.
3 0
2 years ago
Applying Inverse Properties In Exercise,apply the inverse properties of logarithmic and exponential functions to simplify the ex
kodGreya [7K]

Answer:

The simplified form of the given expression is (2x-1).

Step-by-step explanation:

Consider the given expression is

\ln e^{2x-1}

According to the Inverse Properties of In

\ln e^x=x

In the given expression the power of e is (2x-1).

Using the Inverse Properties of In, we get

2x-1

Therefore, the simplified form of the given expression is (2x-1).

5 0
2 years ago
What is the maximum number of possible extreme values for the function, F(x)=x^3-7x-6
Olin [163]
2 is the max number because it's one less than the degree
5 0
3 years ago
Read 2 more answers
How many lines of symmetry does the middle shape have ?​
alina1380 [7]

Answer:

<h2>Three</h2>

The answer is that the shape has three lines of symmetry, one from each vertex to the middle of the opposite side.

Step-by-step explanation:

5 0
2 years ago
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