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3 years ago

Determine which of the following statements is true for the function g(x) = 4x^5 - 3x^6 + 2x^3 - 1.

Mathematics

1 answer:

jonny [76]3 years ago

8 0

Answer:

Option D. As x increases, y decreases. As x decreases, y decreases

Step-by-step explanation:

we have the function

$g(x)=4x^{5}-3x^{6}+2x^{3}-1$

we know that

g(x) is a polynomial of sixth degree

The value of the function will approach the same negative infinity for large positive or negative x. That infinity is determined by the sign of the coefficient of the 6th-degree term, which is negative.

therefore

As x increases -----> The value of y decreases

As x decreases ----> The value of y decreases

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What’s Volume of a cylinder if the height is 10 diameter is 3

Art [367]

Known :

h = 10

d = 3

Asked :

V = ...?

Answer :

V = ¼πd²h

= ¼ × 3.14 × 3² × 10

= ¼ × 3.14 × 9 × 10

= 70.65

Hope it helpful and useful :)

7 0

2 years ago

PLEASE HELP Graph the ordered pairs for y = 3x + 3 using r = {-2, 1, 2}.

Fed [463]

9514 1404 393

Answer:

(-2, -3), (1, 6), (2, 9) are plotted in the attached graph

Step-by-step explanation:

For x = -2, y = 3(-2) +3 = -3. The ordered pair is (-2, -3).

For x = 1, y = 3(1) +3 = 6. The ordered pair is (1, 6).

For x = 2, y = 3(2) +3 = 9. The ordered pair is (2, 9).

The graph is attached.

5 0

2 years ago

Read 2 more answers

An automotive manufacturer has developed a new type of tire that the research team believes to increase fuel efficiency. The man

Stolb23 [73]

Answer:

One tailed

To conclude if there is an increase in the mean gas mileage due to new type of tire.

Step-by-step explanation:

We are given the following in the question:

The manufacture wants to compare increase in the mean gas mileage.

Population mean = 32 miles per gallon

Thus, the manufacture could carry a hypothesis test to compare mean.

A one tailed test (z-test or t-test) based on the information can be used to compare the increase in mean.

Thus,

The automotive manufacturer should perform a one tailed hypothesis test to conclude if there is an increase in the mean gas mileage due to new type of tire.

6 0

3 years ago

Karl is making a pot of chili. The recipe calls for StartFraction 3 Over 8 EndFraction cup of chili powder, but Karl only wants

mina [271]

Given:

The recipe calls for $\dfrac{3}{8}$ cup of chili powder.

Karl only wants to use half as much so it won’t be so spicy.

To find:

How much chili powder should Karl use?

Solution:

We have,

Chill power for recipe = $\dfrac{3}{8}$ cup

Chill power used by Karl is half of chill power for recipe.

$\text{Chill power used by Karl}=\dfrac{1}{2}\times \dfrac{3}{8}$ cup $\text{Chill power used by Karl}=\dfrac{3}{16}$ cup

Therefore, $\dfrac{3}{16}$ cup of chili powder should Karl use.

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2 years ago

A researcher interested in Springfield citizens' shopping habits surveys a randomly selected group of 200 Walmart shoppers. 76%

luda_lava [24]

Answer and Explanation: The results of the survey would not be accurate to the whole of springfield, as the sample was not a random sample. A random sample is where each person in a given area (Springfield in this case) has an equal chance of being surveyed. In this case, only walmart shoppers were surveyed. Therefor, the results can only apply to shoppers at walmart, not the whole of Springfield.

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3 years ago

Read 2 more answers