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2 years ago

What are the characteristics of the function f(x) = 2(x-4)5?

Mathematics

1 answer:

Ivanshal [37]2 years ago

3 0

Answer:

Step-by-step explanation:

Answer: Options F, E, C.

Given : function f(x)=2(x-4)^5.

To find : What are the characteristics of the function .

Solution : We have given that f(x)=2(x - 4)^5.

By the End Point behavior : if the degree is even and leading coefficient is odd of polynomial of function then left end of graph goes down and right goes up.

Since , Option F is correct.

It has degree 5 therefore, function has 5 zeros and atmost 4 maximua or minimum.

Option E is also correct.

By transformation rule it is vertical stretch and shift to right (B )

Therefore, Option F , E , C are characteristics of the function .

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What is the slope of the line that passes through (-2,7) and (4, 9)? Type a numerical answer in the space provided. If

lord [1]

Answer:

1/3

Step-by-step explanation:

You need to use slope formula. (the change in Y over the change in X = Slope [x1-x2/y1-y2 = slope]). I believe you can also use point slope formula, but I forgot how to do that one.

First, you would set up the equation.

7-9/-2-4 OR 9-7/4+2

you would then solve to get

-2/-6 OR 2/6

when simplified you get

1/3

for both. Hope it helps!

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3 years ago

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What is the distance between the points (- 5, - 4) and (3, - 3) on a coordinate plane? Help asappp

Ostrovityanka [42]

Answer:

The distance between (-5, -4) and (3 , -3) is I think 9

Step-by-step explanation:

Hope this helps

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3 years ago

Find the sum 35 + 36 + 37 + 38 + ... + 109 + 110.<br> .<br> The sum is

Mrac [35]

Answer:

327

Step-by-step explanation:

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2 years ago

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The population of a certain town was 10,000 in 1990. The rate of change of the population, measured in people per year, is model

Katena32 [7]

The question is incomplete. The complete question is :

The population of a certain town was 10,000 in 1990. The rate of change of a population, measured in hundreds of people per year, is modeled by P prime of t equals two-hundred times e to the 0.02t power, where t is measured in years since 1990. Discuss the meaning of the integral from zero to twenty of P prime of t, d t. Calculate the change in population between 1995 and 2000. Do we have enough information to calculate the population in 2020? If so, what is the population in 2020?

Solution :

According to the question,

The rate of change of population is given as :

$\frac{dP(t)}{dt}=200e^{0.02t}$ in 1990.

Now integrating,

$\int_0^{20}\frac{dP(t)}{dt}dt=\int_0^{20}200e^{0.02t} \ dt$

$=\frac{200}{0.02}\left[e^{0.02(20)}-1\right]$

$=10,000[e^{0.4}-1]$

$=10,000[0.49]$

=4900

$\frac{dP(t)}{dt}=200e^{0.02t}$

$\int1.dP(t)=200e^{0.02t}dt$

$P=\frac{200}{0.02}e^{0.02t}$

$P=10,000e^{0.02t}$

$P=P_0e^{kt}$

This is initial population.

k is change in population.

So in 1995,

$P=P_0e^{kt}$

$=10,000e^{0.02(5)}$

$=11051$

In 2000,

$P=10,000e^{0.02(10)}$

$=12,214$

Therefore, the change in the population between 1995 and 2000 = 1,163.

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3 years ago

Is 1.15 a rational number

iragen [17]

Answer:

Step-by-step explanation:

The given number is 1.15. Here, the digits after the decimal are terminating, so the given number is rational, NOT irrational. Thus, 1.15 is NOT an irrational number.

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3 years ago