5x-8y+9 what are the terms of the expression? what are the coefficients of the expression

Mathematics

2 answers:

Sladkaya [172]2 years ago

7 0

Answer:

The coefficients are 5,8. The terms of expression are 5x, 8y and 9

frutty [35]2 years ago

6 0

Step-by-step explanation:

The coefficient for the equation is 5 and 8 as both of the numbers have a variable by its side (the letter x & y). Meanwhile the terms for the equation are 5x, -8y, and 9. This is because all those numbers have an operation symbol. Keep in mind that 5x, has a positive operation at the front of the number but it is not written to the equation to make it simpler. Hope this helps ease up your understanding.

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Explain how to find each root, with its multiplicity, for the polynomial y=x^5-27x^2.

Nuetrik [128]

The roots of $y = x^{5}-27\cdot x^{2}$ are 0 (multiplicity 2), -3 (multiplicity 1), $-\frac{3}{2}+i\,\frac{3\sqrt{3}}{2}$ (multiplicity 1) and $-\frac{3}{2}-i\,\frac{3\sqrt{3}}{2}$ (multiplicity 1).

The characteristics of the polynomial can be derived from algebraic techniques. Roots and multiplicity can be found by factoring the polynomial. The multiplicity is represented by a power binomial of the form:

$(x-r_{i})^{m},\,m \le n$ (1)

Where $n$ is the grade of the polynomial.

Now we proceed to factor the formula:

$y = x^{5}-27\cdot x^{2}$

$y = x^{2}\cdot (x^{3}-27)$

$y = x^{2}\cdot (x^{2}+3\cdot x +9)\cdot (x-3)$

Please notice that $x^{2}+3\cdot x + 9$ have two complex roots.

$y = x^{2}\cdot \left(x+\frac{3}{2}-i\,\frac{3\sqrt{3}}{2} \right)\cdot \left(x+\frac{3}{2}+i\,\frac{3\sqrt{3}}{3} \right)\cdot (x-3)$

The roots of $y = x^{5}-27\cdot x^{2}$ are 0 (multiplicity 2), -3 (multiplicity 1), $-\frac{3}{2}+i\,\frac{3\sqrt{3}}{2}$ (multiplicity 1) and $-\frac{3}{2}-i\,\frac{3\sqrt{3}}{2}$ (multiplicity 1).

We kindly invite to see this question on polynomials: brainly.com/question/1218505

7 0

2 years ago

Given the overlapping triangles shown at the right. Notice the parallel segments. Find x. 6 х 9 MathBils.com 20

Nat2105 [25]

Using the principle of parallel lines, the value of x in the given triangle is calculated to be 8

The smaller triangle can be expressed as :