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nordsb [41]
3 years ago
6

What is an equivalent function to f(x)=(x-2)^3

Mathematics
1 answer:
atroni [7]3 years ago
3 0

Answer:

x^3-6x^2-4x-8

Step-by-step explanation:

First you would multiply (x-2) by itself (x-2) to get

x^2-2x-2x+4

then you would combine like terms

x^2-4x+4

Then you would multiply that by x-2

(x^2-4x+4)(x-2)

x^3-2x^2-4x^2-8x+4x-8

then you combine like terms

x^3-6x^2-4x-8

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What are the approximate values of the minimum and maximum points of f(x) = x5 − 10x3 + 9x on [-3,3]? A. maximum point: (–2.4, 3
slava [35]

Answer:

(-2.4, 37.014)

Step-by-step explanation:

We are not told how to approach this problem.  

One way would be to graph f(x) = x^5 − 10x^3 + 9x on [-3,3] and then to estimate the max and min of this function on this interval visually.  A good graph done on a graphing calculator would be sufficient info for this estimation.  My graph, on my TI83 calculator, shows that the relative minimum value of f(x) on this interval is between x=2 and x=3 and is approx. -37; the relative maximum value is between x= -3 and x = -2 and is approx. +37.  

Thus, we choose Answer A as closest approx. values of the min and max points on [-3,3].  In Answer A, the max is at (-2.4, 37.014) and the min at (2.4, -37.014.

Optional:  Another approach would be to use calculus:  we'd differentiate f(x) = x^5 − 10x^3 + 9x, set the resulting derivative = to 0 and solve the resulting equation for x.  There would be four x-values, which we'd call "critical values."

3 0
3 years ago
Read 2 more answers
WhaThe factorization of x2 + 3x – 4 is modeled with algebra tiles.t is the factored form of x2 – x – 2?
Nataly [62]

Answer:

  x^2 -x -2 = (x -2)(x +1)

Step-by-step explanation:

To factor x^2 -x -2, you look for factors of -2 that have a sum of -1:

  -2 = (-1)(2) = (1)(-2) . . . . . the latter pair has a sum of -1

Then these are the constants in the binomial factors:

  x^2 -x -2 = (x +1)(x -2)

_____

<em>Comment on the question</em>

The fact that x^2 +3x -4 is modeled with algebra tiles seems to be irrelevant to the question that is actually asked.

4 0
3 years ago
David bought a car for 5000$ for how much should he sell it if he wants 10% profit from it
BartSMP [9]

Answer:

Step-by-step explanation:

5,500$ lol

8 0
3 years ago
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What is the correct domain and range in set notation?
Svetlanka [38]

DOMAIN: [0, +6)

RANGE: (-2.5, +2.5)

REMEMBER THAT THE DOMAIN IS SET ACCORDING TO THE GRAPH’S RELATION TO THE X-AXIS (-X, +X).

REMEMBER THAT THE RANGE IS ISET ACCORDING TO THE GRAPH’S REALTION TO THE Y-AXIS (-Y, +Y).

REMEMBER THAT THE BEST WAY TO APPRECIATE THIS AID TO YOUR LEARNING TO MARK “BRAINLIEST”.

5 0
3 years ago
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Do anyone know the answer to this? Answers please?
Amanda [17]

Answer:

Yes

Step-by-step explanation:

You can check whether the ratios form a proportion, by setting one piece of the ratios as x

Thus, we can use the equation 4/3.2=22/x.

From this, we get 4x=70.4.

Solving for x gives us 17.6.

5 0
2 years ago
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