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Sergio [31]
3 years ago
14

What type of polynomial is this? 6x + 3​

Mathematics
1 answer:
victus00 [196]3 years ago
7 0

Answer:

Binomial

Step-by-step explanation:

A binomial has two terms. Each term consists of a coefficient, and a variable with an exponent. We can see the two terms:

6x (the exponent would be 1) + 3 (the variable and exponent would be x to the 0. Any variable to the power of 0 is equal to 1, which is why it's not shown)

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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
You and your friend are baking some cookies for your classmates. The recipe you have called for ½ cup of sugar. If you don’t hav
Vanyuwa [196]

Answer:

just need points

Step-by-step explanation:

7 0
3 years ago
Please answer this question for me?
KIM [24]

Answer:

$16.96

Step-by-step explanation:

Do 3.99 times 2 to get 7.98

And then do 4.49 times 2 to get 8.98

Add the results together to get 16.96

3 0
3 years ago
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Amanda went into the grocery business starting with five stores. After one year, she opened two more stores. After two years, sh
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Answer: The answer would be y = 2x, with x being the number of stores she added the year before.

Step-by-step explanation:

3 0
3 years ago
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One-third the sum of 6 and 3
irina [24]

Step-by-step explanation:

1/3(6+3)

= 1/3(9)

= 3

......

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3 years ago
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