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aleksklad [387]
3 years ago
8

Use the table provided to find an exponential model ƒ(x) = abx, where ƒ is the population of Florida, and the input is the numbe

r of years since 2004. Approximate to the thousandth’s place.
ƒ(x) = 17,385,430 • (1.023)x

ƒ(x) = 17,789,864 • (1.023)x

ƒ(x) = 17,385,430 • (0.977)x

ƒ(x) = 17,385,430 • (0.023)x

Mathematics
1 answer:
lora16 [44]3 years ago
7 0

Answer:  F(x) = 17,385,430 (1.023)^x

Step-by-step explanation:

Here, The function that describes the population of Florida after x years,

F(x) = ab^x   -------- (1)

Where a is the initial population of Florida and b is the growth factor.

Since, according to the table a =  17,385,430 and f(x) =  17,789,864

When x= 1

Thus, from equation (1),

17,789,864 = 17,385,430( b)^1

⇒ b = 17,789,864/ 17,385,43= 1.0232628126≈ 1.023

By Putting the values of a and b in equation (1),

Required function is, F(x) = 17,385,430 (1.023)^x


You might be interested in
Solving Quadratic Equations with Complex SolutionsThe discriminant: D=b^2-4acQuestion:5x^2-2x+1=0
fomenos

• The value of the discriminant ,D= -16

,

• The solution to the quadratic equation is

x=\frac{1+2i}{5}\text{     or    }\frac{1-2i}{5}

Step - by - Step Explanation

What to find?

• The discriminant d= b² - 4ac

,

• The solution to the quadratic equation.

Given:

5x² - 2x + 1=0

Comparing the given equation with the general form of the quadratic equation ax² + bx + c=0

a=5 b=-2 and c=1

Uisng the quadratic formula to solve;

x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}

The discriminant D=b² - 4ac

Substitute the values into the discriminant formula and simplify.

D = (-2)² - 4(5)(1)

D = 4 - 20

D = -16

We can now proceed to find the solution of the quadratic equation by substituting into the quadratic formula;

x=\frac{-(-2)\pm\sqrt[]{-16}}{2(5)}

Note that:

√-1 = i

x=\frac{2\pm\sqrt[]{16\times-1}}{10}

x=\frac{2\pm\sqrt[]{16}\times\sqrt[]{-1}}{10}x=\frac{2\pm4i}{10}x=\frac{2}{10}\pm\frac{4i}{10}x=\frac{1}{5}\pm\frac{2}{5}ix=\frac{1\pm2i}{5}

That is;

\text{Either x=}\frac{1+2i}{5}\text{ or     x=}\frac{1-2i}{5}

7 0
1 year ago
Can someone pls help me
noname [10]

Answer: Hewo, there! your Answer is Below

18.2 Would be your answer rounded to the nearest tent the Orignal Answer was 18.24

Step-by-step explanation:

Hope this Helps you!!!

Have a great day!!!

3 0
2 years ago
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disa [49]
NO. It's FALSE.

0.\ 3\ 7\ 1\ 1\\||\ ||\wedge\\0.\ 3\ 8


therefore 0.3801 > 0.3711

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