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Dima020 [189]
4 years ago
12

Samantha conjectures that for x < -1, it is true that x5 - 2 > x. Is her conjecture correct? Why or why not?

Mathematics
1 answer:
Ronch [10]4 years ago
4 0

Answer:

  The conjecture cannot work for any negative numbers, It works for x > 1.3.

Step-by-step explanation:

An odd power preserves the sign. For |x| > 1, the power increases the magnitude. For x < 0, adding -2 only increases the magnitude more. A negative number of larger magnitude will not be "greater than" the reference. It will be "less than."

It only takes a counterexample to show the conjecture is incorrect.

  x^5 -2 ?? x

  (-2)^5 -2 ?? (-2)

  -32 -2 ?? -2

  -34 < -2 . . . . . . not greater than

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Select the correct answer.
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Answer:

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Step-by-step explanation:

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7 0
3 years ago
Which number line best shows the position of square root of 7?
Serggg [28]

Step-by-step explanation:

First off, you want to find the whole number in square root form

1 = √1

2 = √4

3 = √9

4 = √16

5 = √25

You want to find which to numbers √7 is in between

7 is between 4 and 9 so the √7 is in between √4 and √9 which means that √7 is between 2 and 3

The second one is your answer

I hope this helps!!!

8 0
3 years ago
4/5 of 40
algol [13]
4/5 of 40 = 32
1/3 of 3 = 1
1/3 of 15 muffins = 10 muffins
3 0
3 years ago
Tres hermanos van a repartirse un pastel y medio, cuanto le toco de pastel a cada uno de los hermnos
Anna71 [15]

Answer:

medio pastel cada uno

Step-by-step explanation:

Hay 3 hermanos, si decimos que un pastel entero tiene 6 pedazos entonces su fraccion seria 6/6. Si dividimos este pastel entre los tres hermanos cada uno tendria...

\frac{6 / 3}{6} = \frac{2}{6}

Medio pastel seria la mitad de 6/6 que seria 3/6. Si dividimos esto entre los 3 hermanos cada uno tendria...

\frac{3 / 3}{6}  = \frac{1}{6}

Ahora que dividimos los 2 pasteles tenemos que unir las fracciones para saber cuanto pastel le toco a cada hermano...

\frac{2}{6} + \frac{1}{6} = \frac{3}{6}  o medio pastel cada uno

8 0
3 years ago
write the equation of a line that is parallel to y = - 3/2 x -1 and that passes through the point (4,6)​
maria [59]

Answer:

Step-by-step explanation:Given Equation of line has slope m=-3/2

So the line passing through (4,6) has the same slope because both are parallel

From slope intercept form we have

y-y1=m(x-x1)

y-6=-3/2(x-4)

y-6=-3/2x +3/2(4)

y=-3/2x+12

2y=-3x+24

3 0
3 years ago
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