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FromTheMoon [43]
3 years ago
9

Which of the following describes the function x4 − 3?

Mathematics
2 answers:
Elenna [48]3 years ago
6 0

Answer:

Option D

Step-by-step explanation:

We have given that function: f(x)=x^4-3

We can see this through graph attached that the coordinate of planes on the left and right moves upward.

By the definition of degree of the polynomial state that highest degree of x is the degree of polynomial i.e. 4 which is even which implies that the degree of the function is even.

The above statement implies that the degree of the function is even, so the ends of the graph continue in the same direction. As the leading coefficient is positive, the left side of the graph continues up the coordinate plane and the right side also continues upward.

therefore, option D is correct

beks73 [17]3 years ago
6 0

Answer:

d

Step-by-step explanation:

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Step-by-step explanation:

1/3πr^2h

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Step-by-step explanation:

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Which equation could be used to calculate the sum of the geometric series? One-third + two-ninths + StartFraction 4 Over 27 EndF
kondaur [170]

Answer:

S 5 = StartFraction one-third (1 minus (two-thirds) Superscript 5 Baseline) Over (1 minus two-thirds) EndFraction

Step-by-step explanation:

Given the geometric series:

1/3+2/9+4/27+8/81+16/243

First we must know that the series is a finite series with just 5terms.

Before we can know the formula to calculate sum of the first five terms of the series, we must determine its common ratio (r) first.

r = (2/9)÷1/3 = 4/27÷2/9= 8/81÷4/27

r = 2/9 × 3/1

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Similarly;

r = 4/27×9/2

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Since all values of r is the as them the common ratio is 2/3.

If r< 1 in geometric series, then the formula for finding its sum is applicable

Sn = a(1-rⁿ)/1-r

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Substituting the values in the formula we have:

S5 = 1/3{1-(2/3)^5}/1-2/3

This gives the requires equation

S 5 = StartFraction one-third (1 minus (two-thirds) Superscript 5 Baseline) Over (1 minus two-thirds) EndFraction

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