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Bumek [7]
2 years ago
5

25 POINTS PLEASE HELP ME!! Sam conjectures that for x ≤ - 2, it is true that x^5 + 7 > x^3. Is Sam’s conjecture correct? Why

or why not?

Mathematics
1 answer:
CaHeK987 [17]2 years ago
5 0

The true statement about Sam’s conjecture is that the conjecture is not correct

<h3>How to determine if Sam’s conjecture is correct or not?</h3>

Sam’s conjecture is given as:

For x ≤ - 2

It is true that x^5 + 7 > x^3.

The inequality x ≤ - 2 means that the highest value of x is -2

Assume the value of x is -2, then we have:

(-2)^5 + 7 > (-2)^3

Evaluate the exponents

-32 + 7 > -8

Evaluate the sum

-25 > -8

The above inequality is false because -8 is greater than -25 i.e. -8 > -25 or -25 < -8

Hence, the true statement about Sam’s conjecture is that the conjecture is not correct

Read more about conjectures at

brainly.com/question/20409479

#SPJ1

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3 years ago
What does F(1) represent ?
prisoha [69]

Answer:

F(1) represents the first term of the sequence.

Step-by-step explanation:

Let us suppose the sequence function

F(n) = 16-3n

We can find the first term of the sequence by substituting n=1 in the function sequence

F(1) = 16-3(1)

        = 16-3

        =13

We can find the 2nd term of the sequence by substituting n=2 in the function sequence

F(2) = 16-3(2)

        = 16-6

        =10

We can find the 3rd term of the sequence by substituting n=3 in the function sequence

F(3) = 16-3(3)

        = 16-9

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So the first three terms of the sequence is:

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As the common difference is the same.

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