I will randomly give the brainlest to the first person

Mathematics

2 answers:

irina [24]2 years ago

5 0

Thank you so much that is very sweet of you

ki77a [65]2 years ago

5 0

Answer:for what?

Step-by-step explanation:

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2) simplify the expression completely assume (x > 0)

Sati [7]

Answer:

Step-by-step explanation:

the 2 square root terms can be combined under one large square root.

and the general multiplication factor of 2 remains on the outside.

2×sqrt(24x³ / 3x) = 2×sqrt(8x²) = 2×sqrt(4×2x²) =

2×2×sqrt(2x²) = 2×2×x×sqrt(2) = 4x sqrt(2)

6 0

2 years ago

PLSSS HELP State the maximum number of turns the graph of each function could make 1. f(x)=x^5-3x+1 2.f(x)=-x^7-7x^5-4x^3

3241004551 [841]

Answer:

max for 5th-degree: 4 turns. This function: 2 turns.
max for 7th-degree: 6 turns. This function: 0 turns.

Step-by-step explanation:

In general, the graph of an n-th degree function can make n-1 turns. However, in specific cases, the number of turns is limited by the number of real zero-crossings of the derivative.

1. This 5th-degree function can have at most 4 turns. However, the derivative, f'(x) = 5x^4 -3, has only two (2) real zeros. Hence the graph of this function can only have 2 turns.

2. This 7th-degree function can have at most 6 turns. However, the derivative, f'(x) = -7x^6 -35x^4-12x^2, has an even-multiplicity root at x=0 only. The derivative never crosses 0. Hence the graph makes no turns.