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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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A french class has a total of 25 student.The number of males is 7 more than the number of females how many males and how many fe
Lady_Fox [76]

Answer:

16 males and 9 females

Step-by-step explanation:

To solve this we can use a system of equations.

Let's start by naming the number of females x.

The number of males would then be y.

<u>Using these variables, we can set up 2 equations using info provided:</u>

A french class has a total of 25 students, -> x+y=25

The number of males is 7 more than the number of females -> x+7=y

Use substitution to solve.

<u>From the second equation:</u>

x+7=y

Subtract 7 from both sides.

x=y-7

Substitute that into the first equation.

x+y=25

y-7+y=25

Combine like terms.

2y-7=25

Add 7 to both sides.

2y=32

Divide both sides by 2.

y=16

Substitute y=16 into equation 2.

x+7=y

x+7=16

Subtract 7 from both sides.

x=9

Therefore, there are 16 males and 9 females in the french class.

3 0
3 years ago
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what is the population of the Emperor penguin rounded to the nearest ten thousand and to the nearest hundred thousand
gogolik [260]

Answer:

130,000 to 250,000

Step-by-step explanation:

7 0
4 years ago
Which of the following is NOT true about a rhombus?
Setler [38]

Answer:

The diagonals are not congruent should be the answer...

Step-by-step explanation:

Might wanna get another opinion but im pretty sure im right.

3 0
3 years ago
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HELP ME PLEASE THANK U
tangare [24]
To fine the mean for a first add up all the players heights then divide by the number of players.

Mean=(198+199+200+201+202)÷5
=1000÷5
=200

The answer to a is 200

For question be were gonna say for now that the height of our new player is represented by x. So we know that together there is 6 players and we know our answer so it should look something like this

201= (199+198+199+200+201+202+x) ÷ 6
201=1000+x ÷ 6
Then Im going to multiply 201 by 6 to get rid of the 6 on the other side.
1206=1000+x
Then I’m going to subtract 1000 from both sides to get x by itself
206=x

So the new players height is 206 .
3 0
3 years ago
(1)/(5)x +3=2x-24 <br> Anwser please kitten
vivado [14]

Answer:

x = 15

Step-by-step explanation:

Hope this helps! :D

5 0
3 years ago
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