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3 years ago

Can a function be both even and odd? use algebra to find the answer.

Mathematics

1 answer:

Evgesh-ka [11]3 years ago

5 0

Answer:

Im not sure exactly what you want the function to be. Because it can be any number. only the signs would change it

Step-by-step explanation:

okay so lets try this then..

if f(x) is an even number...let say 2

then f(-2)= 2x²+x+6

then it would be 2(-2²)+(-2)+6......-4

https://www.symbolab.com/solver/step-by-step/F%5Cleft(x%5Cright)%3D-F%5Cleft(x%5Cright)

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Anybody know the right answer?

bonufazy [111]

The answer to what question?

3 0

3 years ago

What is the perimeter of the figure in the diagram (round to three decimal places)? A) 44.471 B) 35.046 C) 32.471 D) 23.046

snow_tiger [21]

The answer is C 32.471

4 0

3 years ago

The Customer Service Center in a large New York department store has determined that the amount of time spent with a customer ab

GarryVolchara [31]

Using the normal distribution, the probabilities are given as follows:

a) 0.6517 = 65.17%

b) 0.0823 = 8.23%.

c) 0.6109 = 61.09%.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

$Z = \frac{X - \mu}{\sigma}$

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

$\mu = 8.9, \sigma = 2.8$

Item a:

The probability is the <u>p-value of Z when X = 10</u>, hence:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{10 - 8.9}{2.8}$

Z = 0.39

Z = 0.39 has a p-value of 0.6517.

0.6517 = 65.17% probability that the time is less than 10 minutes.

Item b:

The probability is the <u>one subtracted by the p-value of Z when X = 5</u>, hence:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{5 - 8.9}{2.8}$

Z = -1.39

Z = -1.39 has a p-value of 0.0823.

0.0823 = 8.23% probability that the time is more than 5 minutes.

Item c:

The probability is the <u>p-value of Z when X = 15 subtracted by the p-value of Z when X = 8</u>, hence:

X = 15:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{15 - 8.9}{2.8}$

Z = 2.18

Z = 2.18 has a p-value of 0.9854.

X = 8:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{8 - 8.9}{2.8}$

Z = -0.32

Z = -0.32 has a p-value of 0.3745.

0.9854 - 0.3745 = 0.6109 = 61.09%.

More can be learned about the normal distribution at brainly.com/question/4079902

#SPJ1

5 0

2 years ago

Answer please in less that 10 minutes

Andreyy89

Answer:

Step-by-step explanation:

Since we have an x under that radical, we have to get it out from under there. To do that, do the opposite of the square root, which is to square. But because this is an equation, you have to do the same thing to both sides. Doing this gives you

$6x-9=x^2$

Get everything on one side and set the quadratic equal to 0 and solve for x:

$x^2-6x+9=0$

Factor this into 2 factors of (x - 3)(x - 3) = 0. As you can see they are both the same, so x - 3 = 0 and x = 3. That's your answer. x = 3.

8 0

3 years ago

The base and sides of a container is made of wood panels. The container does not have a lid. The base and sides are rectangular.

vfiekz [6]

Answer:

Minimum surface area = $70.77 cm^2$

Step-by-step explanation:

We are given that

Width of container=x cm

Length of container=2x cm

Volume of container= $54 cm^3$

We have to find the minimum surface areas that this container will have.

Volume of container= $l\times b\times h$

$x\times 2x\times h=54$

$2x^2h=54$

$h=\frac{54}{2x^2}=\frac{27}{x^2}$

Surface area of container= $2(b+l)h+lb$

Because the container does not have lid

Surface area of container= $S=2(2x+x)\times \frac{27}{x^2}+2x\times x$

$S=\frac{162}{x}+2x^2$

Differentiate w.r.t x

$\frac{dS}{dx}=-\frac{162}{x^2}+4x$

$\frac{dx^n}{dx}=nx^{n-1}$

Substitute $\frac{dS}{dx}=0$

$-\frac{162}{x^2}+4x=0$

$4x=\frac{162}{x^2}$

$x^3=\frac{162}{4}=40.5$

$x^3=40.5$

$x=(40.5)^{\frac{1}{3}}$

$x=3.4$

Again differentiate w.r.t x

$\frac{d^2S}{dx^2}=\frac{324}{x^3}+4$

Substitute x=3.4

$\frac{d^2S}{dx^2}=\frac{324}{(3.4)^3}+4=12.24>0$

Hence, function is minimum at x=3.4

Substitute x=3.4

Then, we get

Minimum surface area = $\frac{162}{(3.4)}+2(3.4)^2=70.77 cm^2$

8 0

3 years ago