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fomenos
3 years ago
10

Whats the answer if n=5 , 5n×6

Mathematics
1 answer:
makkiz [27]3 years ago
7 0

Answer:

150

Step-by-step explanation:

5n*6

Substitute in 5

5(5)*6

25*6

150

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Can you find a strategy for splitting any number so that you always get the largest product?
Alex

9514 1404 393

Answer:

  split the number into equal pieces

Step-by-step explanation:

Assuming "splitting any number" means identifying parts that have the number as their sum, the maximum product of the parts will be found where the parts all have equal values.

We have to assume that the number being split is positive and all of the parts are positive.

<h3>2 parts</h3>

If we divide number n into parts x and (n -x), their product is the quadratic function x(n -x). The graph of this function opens downward and has zeros at x=0 and x=n. The vertex (maximum product) is halfway between the zeros, at x = (0 + n)/2 = n/2.

<h3>3 parts</h3>

Similarly, we can look at how to divide a (positive) number into 3 parts that have the largest product. Let's assume that one part is x. Then the other two parts will have a maximum product when they are equal. Their values will be (n-x)/2, and their product will be ((n -x)/2)^2. Then the product of the three numbers is ...

  p = x(x^2 -2nx +n^2)/4 = (x^3 -2nx^2 +xn^2)/4

This will be maximized where its derivative is zero:

  p' = (1/4)(3x^2 -4nx +n^2) = 0

  (3x -n)(x -n) = 0 . . . . . . . . . . . . . factor

  x = n/3  or  n

We know that x=n will give a minimum product (0), so the maximum product is obtained when x = n/3.

<h3>more parts</h3>

A similar development can prove by induction that the parts must all be equal.

6 0
3 years ago
Nendndnfbffjfjfjfjfjf
Whitepunk [10]

Answer:

a or c would be your answer hope this helps

Step-by-step explanation:

3 0
3 years ago
Find the denominator that names a fraction equivalent to 3/2
Leya [2.2K]
The answer is 8/12.
7 0
3 years ago
suppose that prices of a certain model of new homes are normally distributed with a mean of $150,000. use the 68-95-99.7 rule to
Lelechka [254]
152700 is answer. Try to do these problems on paper then you can see where you went wrong . also try to do the actual question

5 0
4 years ago
Is algebra.
gulaghasi [49]

Answer:

2(x - 9.46)(x + 2.54)

Step-by-step explanation:

2(x² - 12x + 24)

since there are no factors that multiply to 24 and add to -12 then i used the quadratic formula to get:

6+2\sqrt{3}, 6-2\sqrt{3}

7 0
3 years ago
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