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geniusboy [140]
2 years ago
11

I don't know how to solve it.

Mathematics
1 answer:
Nataly [62]2 years ago
8 0

Step-by-step explanation:

Take the first derivative

\frac{d}{dx} ( {x}^{3}  - 3x)

3 {x}^{2}  - 3

Set the derivative equal to 0.

3 {x}^{2}  - 3 = 0

3 {x}^{2}  = 3

{x}^{2}  = 1

x = 1

or

x =  - 1

For any number less than -1, the derivative function will have a Positve number thus a Positve slope for f(x).

For any number, between -1 and 1, the derivative slope will have a negative , thus a negative slope.

Since we are going to Positve to negative slope, we have a local max at x=-1

Plug in -1 for x into the original function

( - 1) {}^{3}  - 3(  - 1) = 2

So the local max is 2 and occurs at x=-1,

For any number greater than 1, we have a Positve number for the derivative function we have a Positve slope.

Since we are going to decreasing to increasing, we have minimum at x=1,

Plug in 1 for x into original function

{1}^{3}   - 3(1)

1 - 3 =  - 2

So the local min occurs at -2, at x=1

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daser333 [38]

Answer:

x = 6

Step-by-step explanation:

CT is a median, which means it divided AB into two equal parts so we can write the following equation:

7x + 9 = 5x + 21 transfer like terms to the same side of the equation

7x - 5x = 21 - 9 do the extraction

2x = 12 divide both sides by 2

<u>x = 6</u>

6 0
1 year ago
An athletics coach states that the distribution of player run times (in seconds) for a 100-meter dash is normally distributed wi
Elza [17]

Answer:

P(X

And we can find this probability using the normal standard distribution table and we got:

P(z

And the percentage faster than 13.28 seconds would be 91.9%

Step-by-step explanation:

Let X the random variable that represent the runtimes of a population, and for this case we know the distribution for X is given by:

X \sim N(13,0.2)  

Where \mu=13 and \sigma=0.2

We want to find this probability:

P(X

And we can use the z score formula given by:

z=\frac{x-\mu}{\sigma}

Using this formula we have:

P(X

And we can find this probability using the normal standard distribution table and we got:

P(z

And the percentage faster than 13.28 seconds would be 91.9%

8 0
3 years ago
How do you identify points on a graph?
xeze [42]

Step-by-step explanation:

Your assignment probably gave you numbers, like (3,4) or (-5,6). They are graphed on the graph. the first number is where the y axis is and the y axis goes _____ on the coordinate plane. Then he second number is the x axis and that goes up and down like an l. To figure out what the points are you go first in the hose and up the stairs. Put your finger on the dot and count the lines it takes DOWN or UP to get to the middle line. If you ad a negative number you count up to the middle line and positives you count down. Write that number down like this (your 1st number here, Now go back to your point and and count how many lines to get to the middle line that goes up and down otherwise known as your y axis. You either count left or right to get to this line. Count the line it takes to get to that centered line. If you have to count t the right to get this number, mark it as negative. If you count to the left its positive. Now you answer should look like this just replaced with numbers instead of words. (First number here, Second number here) Good luck on your assignment!

3 0
2 years ago
Rene made a 90 % on her math test. If she answered 20 problems correctly , how many problems were on the test ?
MakcuM [25]

Answer:

Rene made = 90 on her math test

If she answer =20problems correctly

we know,

how many problem were there = ?

there where = 90-20

= 70

There where 70 problems

8 0
2 years ago
If 10 + x is 5 more than 10, what is the value of 2x ?(A) −5(B) 5(C) 10(D) 25(E) 50
kirill [66]

Correct option is C. The value of 2x = 10

Given that

10 + x is 5 more than 10

Formally, we can express this

10 + x = 10 + 5

⇒x = 15 − 10

⇒x = 5

To find 2x,

2x = 2 × x

= 2 × 5

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Therefore, the value of ′ 2x ′  is  ′ 10 ′

To learn more about linear equation from given link

brainly.com/question/2030026

#SPJ4

3 0
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