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Alex17521 [72]
3 years ago
5

Evaluate g(x) = 0.023x3 + 0.4x2 − 2.1x + 8.3 for x = 2 and x = 4.

Mathematics
1 answer:
vivado [14]3 years ago
6 0

Plug in 2 and 4 for every instance of x in the function g(x).

g(x) = 0.023x³ + 0.4x² − 2.1x + 8.3

g(2) = 0.023(2)³ + 0.4(2)² − 2.1(2) + 8.3 = 5.884

g(4) = 0.023(4)³ + 0.4(4)² − 2.1(4) + 8.3 = 7.772

answer: 5.884 and 7.772

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The nth term of a sequence is 2n2 + 1 The nth term of a different sequence is 65 - 2n2. Show that there is only 1 number that is
HACTEHA [7]

Answer:

The only common term is 33.

Step-by-step explanation:

We are given the following in the question:

Sequence 1:

n^{th}\text{ term: } 2n^2 + 1

Sequence 2:

n^{th}\text{ term: } 65 - 2n^2

Equating the two terms, we get,

2n^2 + 1 = 65 - 2n^2\\4n^2 = 64\\\\n^2 = \dfrac{64}{4}\\\\n^2 = 16\\n = \pm 4

Since, n cannot take a negative value, we get n = 4.

Thus, there is only 1 common term both the series have for n = 4.

Common term:

2(4)^2+ 1 - 65-2(4)^2 = 33

Thus, the only common term is 33.

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