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yaroslaw [1]
2 years ago
11

Name the polynomial by degrees and the number of terms. 7x^4+ 7x^3 +10x

Mathematics
1 answer:
trasher [3.6K]2 years ago
8 0

Answer:

Fourth-degree trinomial

Step-by-step explanation:

7x⁴ + 7x³ + 10x

There are three terms, and the biggest degree (exponent) is 4. Therefore, this is a fourth-degree trinomial.

Note:

  • A polynomial with one term: monomial
  • A polynomial with two terms: binomial
  • A polynomial with three terms: trinomial
  • A polynomial with four or more terms: polynomial

Hope this helps!

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A farmer decides to enclose a rectangular garden using the side of the barn as on of the sides of the recta
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Answer:

Step-by-step explanation:

Let the length of the fence = x

Let the width of the fence = y

 Recall that the perimeter of a rectangle is calculated by 2(L+B) , but the farmer is using the side of the barn on one side of the rectangle , so the perimeter equation is  

x + 2y = 48

 Area = xy

 If we substitute the perimeter equation so that the area is only in terms of y.

 

Area = (48 - 2y)y

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 Now just find the vertex of the parabola

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A = -2 y^{2} + 48

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equate it to zero , we have

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x = 48 - 2y

x = 48 - 2(12)

x = 48 - 24

x = 24

Therefore the dimensions of the garden are 24 by 12

The maximum area is 288 square unit

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3 years ago
Suppose that the functions s and t are defined for all real numbers x as follows.
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