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Mekhanik [1.2K]
3 years ago
15

True or false ? The polynomial below is a perfect square trinomial of the form A2-2AB+B2 4x2-16x+16

Mathematics
1 answer:
Vlad1618 [11]3 years ago
3 0
True

4x^2 -16x +16 = (2x -4)^2

A = 2x
B = 4
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The population of a city is 451,400. The population is expected to decrease at a rate of 3.2% each year.
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Answer:

Find out the what function equation represents the population of the city after t years .

To prove

The population of a city is 451,400. The population is expected to decrease at a rate of 3.2% each year.

This can be represented by exponential decreasing function.

f(t) = a (1 - r)^{t}

Where a is the initial value.

r is the rate in decimal form

t is the time.

Here

a = 451,400

3.2 % is written in the decimal form.

= \frac{3.2}{100}

= 0.032

Put in the formula

f(t) = 451400 (1 - 0.032)^{t}

f(t) = 451400 (0.968)^{t}

Therefore the decrease in the population of the city after t years is represented by

f(t) = 451400 (0.968)^{t}



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