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Elodia [21]
3 years ago
15

Write a trinomial in one variable of degree 5 in standard form.

Mathematics
1 answer:
Mamont248 [21]3 years ago
8 0

A polynomial of one-variable is given by following expression :-

Ax^n + Bx^{n-1} +Cx^{n-2}+Dx^{n-3}+Ex^{n-4}+.....

where A, B, C, D, E are the coefficients of terms in the polynomial and x is variable of the equation.

A is the leading coefficient and it can not be zero i.e. A≠0.

n is the degree of the polynomial.

It says to write a trinomial in one variable of degree 5.

Trinomial means only three terms with non-zero coefficients, and degree 5 means n = 5.

There could be many answers, but an example of "trinomial of degree 5" would be :-

Ax^5 + Bx^4 + Cx^3

3x^5 + 5x^4 + 2x^3

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Sean wrote the equation 9.25 = 5m, where m is the cost per pound, to show the relationship between the total cost, $9.25, and th
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<h2>Explanation:</h2>

The complete question is in a comment above. The statements says that:

  • Sean wrote the equation 9.25=5m
  • m is the cost per pound.
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So we are asked to write an write an equation to show the cost y of x pounds of pears. In other words, we need to write an equation such that y is given in terms of x, where x is the pounds of pears. So:

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From the equation we can determine m as:

m=\frac{9.25}{5}=1.85

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\frac{y}{x}=\frac{9.25}{5} \\ \\ y=1.85x

So choosing the number of pounds as 0, 1, 2, 3, 4, 5, the table would be:

\begin{array}{cc}x(\text{Number of pounds}) & y(\text{Cost in dollars})\\0 & 0\\1 & 1.85\\2 & 3.7\\3 & 5.55\\4 & 7.4\\5 & 9.25\end{array}

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Answer:

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