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3 years ago

What is the end behavior of the graph of the polynomial function f(x) = 3x + 30x + 75x4?

Mathematics

1 answer:

kipiarov [429]3 years ago

6 0

<h3>Answer: As $x \to -\infty, y \to \infty$ and as $x \to \infty, y \to \infty$ </h3>

Basically, whether x goes to positive or negative infinity, the value of y will head off to positive infinity.

Why is this? It's all because of the leading term 75x^4. This is the term with the largest exponent, so the degree is 4. Even degree functions have the endpoints pointing in the same direction. In this case, that direction is up or pointing along the positive y axis direction. If the leading coefficient was negative, then y would head off to negative infinity instead of positive infinity.

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Can someone help me solve this

Valentin [98]

Answer:

Yup! There are 6 possible 0s, 4 actual 0s, and the factored form is -2x^5-6

Step-by-step explanation:

8 0

3 years ago

AARP reported on a study conducted to learn how long it takes individuals to prepare their federal income tax return (AARP Bulle

Crank

Answer:

Confidence interval: (30.1,36.9)

Step-by-step explanation:

We are given the following data set:

35.3,30.5,37.4,26.5,13.0,49.9,28.8,44.0,61.6,0.5,40.5,34.9,47.9,36.6,24.1,39.8,47.8,18.5,36.6,39.2,14.5,37.3,40.5,49.3,45.5,28.3,19.5,5.6,52.6,41.4,45.3,39.0,33.7,29.4,14.5,40.1,33.7,36.9,5.6,33.7

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{1339.9}{40} = 33.5$

$S.D = 11$ (given)

n = 40

Confidence interval:

$\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}$

Putting the values, we get,

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

$33.5 \pm 1.96(\frac{11}{\sqrt{40}} ) = 6.34 \pm 3.4 = (30.1,36.9)$

6 0

3 years ago

Determine whether the graph is the graph of a function. <br><br>Yes or No

tankabanditka [31]

A function is a rule that relates inputs to outputs.It takes elements from the domain and relates them to the codomain. It relates each element of a set with exactly one element of another set. In the graph, we see a single element of a set being mapped to different codomain. Thus, the graph does not represent a function

6 0

3 years ago

How can probabilities be used to make fair decisions?

GarryVolchara [31]

he magician starts with the birthday boy and moves clockwise, passing out 100100100100 pieces of paper numbered 1111 through 100100100100. He cycles around the circle until all the pieces are distributed. He then uses a random number generator to pick an integer 1111 through 100100100100, and chooses the volunteer with that number.

Method2: The magician starts with the birthday boy and moves counter-clockwise, passing out 75757575 pieces of paper numbered 1111 through 75757575. He cycles around the circle until all the pieces are distributed. He then uses a random number generator to pick an integer 1111 through 75757575, and chooses the volunteer with that number.

Method 3\: The magician starts with the birthday boy and moves clockwise, passing out 30303030 pieces of paper numbered 1111 through 30303030. He cycles around the circle until all the pieces are distributed. He gives #1111 to the birthday boy, #2222 to the next kid, and so on. He then counts the number of windows in the room and chooses the volunteer with that number.

yes probabilites can be used to make fair ones

thanx

heya

6 0

4 years ago

HURRY ANSWER THIS!

Ann [662]

Answer:

none lul

Step-by-step explanation:

my noggin

7 0

3 years ago

Read 2 more answers