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taurus [48]
4 years ago
10

What conditions must be met to ensure that a function has an absolute maximum value and an absolute minimum value on an​ interva

l?
Mathematics
1 answer:
elixir [45]4 years ago
5 0

The answer is a function must be a continuous function on a closed interval. This is based on the Extreme Value Theorem, this states that a function 'f' that is continuous on a closed interval has an absolute minimum value and an absolute maximum value on that interval.

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Find the quotient...<br><br> 3/11 divided by 9/13<br><br> Simplify your answer...
Korvikt [17]
3/11 divided by 9/13 = 3/11 multiplied by 13/9 = 39/99=13/33
5 0
3 years ago
Read 2 more answers
-5(x - 1) greater than -40
sergey [27]

Answer:

x < 9  

Step-by-step explanation:

Writing this entirely with symbols, we get:

-5(x - 1) > -40

We must solve for x.  

Carrying out the multiplication, we get:

-5x + 5 > -40, or

-5x > -45

Dividing both sides by -5 isolates x:

x < 9  

Note that when working with an inequality such as this one, dividing both sides by a negative number requires changing the direction of the inequality symbol.

3 0
3 years ago
This list shows the age at which 43 U.S. Presidents began their terms.
Artist 52 [7]

The best intervals would be 41-45, 46-50, 51-55, 56-60, 61-65, and 69-70.

The best way to decide the appropriate interval would be to find the range of the numbers.

We have given a data set,

<h3>What is the smallest value in the data?</h3>

The minimum is the smallest value in the data set. The maximum is the largest value in the data set.

<h3>What is the largest minus the smallest? </h3>

This would be 69-42=27.

If you need six intervals you would need to round 27 up to 30 to be able to divide it out evenly and include all of the data.

The best intervals would be 41-45, 46-50, 51-55, 56-60, 61-65, and 69-70.

This way you are one over and one under the highest and lowest values.

Therefore, The best intervals would be 41-45, 46-50, 51-55, 56-60, 61-65, and 69-70.

To learn more about the interval visit:

brainly.com/question/12221823

#SPJ1

4 0
2 years ago
Solve<br> y=2x2-3x-1<br> y=x-3
4vir4ik [10]

Answer:

The value of x is 1 and y = -2

Step-by-step explanation:

y = 2x²- 3x - 1;

y = x - 3

2x²- 3x - 1 = x - 3

2x² - 3x - 1 - x + 3 = 0

2x² - 4x + 2 = 0

take 2 as common

2(x² - 2x + 1) = 0

x² - 2x + 1 = 0

x² - x - x + 1 = 0

x(x - 1) - 1(x - 1) = 0

(x - 1) (x - 1) = 0

x - 1 = 0 or x - 1 = 0

x = 1 or x = 1

Now,

y = x - 3

y = 1 - 3

y = - 2

Thus, The value of x is 1 and y is -2

<u>-TheUnknown</u><u>Scientist</u>

4 0
3 years ago
Factor 4n^2 - 5n -6​
Allushta [10]

Answer:

(n-2) • (4n+3)

Step-by-step explanation:

4n2-5n-6  

Final result :

 (n - 2) • (4n + 3)

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 (22n2 -  5n) -  6

Step  2  :

Trying to factor by splitting the middle term

2.1     Factoring  4n2-5n-6  

The first term is,  4n2  its coefficient is  4 .

The middle term is,  -5n  its coefficient is  -5 .

The last term, "the constant", is  -6  

Step-1 : Multiply the coefficient of the first term by the constant   4 • -6 = -24  

Step-2 : Find two factors of  -24  whose sum equals the coefficient of the middle term, which is   -5 .

     -24    +    1    =    -23  

     -12    +    2    =    -10  

     -8    +    3    =    -5    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -8  and  3  

                    4n2 - 8n + 3n - 6

Step-4 : Add up the first 2 terms, pulling out like factors :

                   4n • (n-2)

             Add up the last 2 terms, pulling out common factors :

                   3 • (n-2)

Step-5 : Add up the four terms of step 4 :

                   (4n+3)  •  (n-2)

            Which is the desired factorization

Final result :

 (n - 2) • (4n + 3)

3 0
4 years ago
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