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2 years ago

Which statement is true about the given function?

Mathematics

1 answer:

Jet001 [13]2 years ago

6 0

Answer:

Option C.

Step-by-step explanation:

If the graph of a function f(x) lies above the x-axis, then f(x) > 0.

If the graph of a function f(x) lies below the x-axis, then f(x) < 0.

From the given graph it is clear that the graph of f(x) intersect the x-axis at x=3.

Before x=3 the graph lies below the x-axis. So,

$f(x) < 0$ over the interval $(-\infty,3)$ .

After x=3 the graph lies above the x-axis. So,

$f(x) > 0$ over the interval $(3,\infty)$ .

Therefore, the correct option is C.

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A population of fish in a lake is 14000 in 2010. The population decreases 6% annually. What is the population in 2019

kodGreya [7K]

Answer:

8022.

Step-by-step explanation:

Let x be the number of years after 2010.

We have been given a population of fish in a lake is 14000 in 2010. The population decreases 6% annually.

We can see that population of fish is the lake is decreasing exponentially as it is decreasing 6% annually.

Since we know that an exponential function is in form: $y=a*b^x$ , where,

a = Initial value,

b = For decrease or decay b is in form (1-r) where r represents decay rate in decimal form.

Let us convert our given decay rate in decimal form.

$6\5=\frac{6}{100}=0.06$

Upon substituting our given values in exponential form of function we will get the population of fish in the lake after x years as:

$y=14,000*(1-0.06)^x$

$y=14,000*(0.94)^x$

Let us find x by subtracting 2010 from 2019.

$x=2019-2010=9$

Upon substituting x=9 in our function we will get,

$y=14,000*(0.94)^9$

$y=14,000*0.5729948022286167$

$y=8021.927\approx 8022$

Therefore, the population of fish in 2019 will be 8022.

6 0

2 years ago

For the function f(x)=3/4x-5 what is f(16)?

GuDViN [60]

$\displaystyle{ f(x)= \frac{3}{4x} -5 } \\\\ f(16)=? \\\\ --------- \\ \\f(16)= \frac{3}{4 \cdot16} -5 = \\ \\ \frac{3}{64} -5^{(64} = \\ \\ \frac{3}{64} - \frac{320}{64}= -\frac{317}{64} =-4.95$

7 0

3 years ago

Find the quotient. (2x^4-3x^3-6x^2+11x+8)/(x-2)

stiv31 [10]

Since the remander is 0 the answer is 2x²+5x+2

4 0

2 years ago

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A small hard drive measured 0.7553 centimeters across round to the nearest tenth

Alborosie

Answer:

0.8

Step-by-step explanation:

7 is in the tenth place since there is a 5 in the hundreds we round up to 8.

hope this helped =3

4 0

3 years ago

Any one know the answer it has to be turned in tomorrow morning

Veseljchak [2.6K]

17: 900 because 3,000 + 900 + 40 +7 is 3,947 or 3,947-3,000-40-7= 900

6 0

2 years ago

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