Is 2x-3y=6 a linear equation in two variables

Mathematics

1 answer:

V125BC [204]3 years ago

3 0

Answer:

yes

Step-by-step explanation:

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Write the quadratic equation whose roots are 5 and -3, and whose leading coefficient is 1

kogti [31]

1. A quadratic equation has the following form: ax²+bx+c.

2. The leading coefficient is the number that is attached to the variable with the highest exponent. Then, the "a" is the leading coefficient of the quadratic equation.

3. The problem says that the leading coefficient is 1 (a=1) and the roots of the quadratic equation are 5 and -3. Then, you have:

(x-5)(x+3)=0

4. When you apply the distributive property, you obtain:

x²+3x-5x-15=0
x²-2x-15=0

5. Therefore, the answer is:

x²-2x-15=0

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3 years ago

Witch is greater 4 cups or 2 quarts

mario62 [17]

2 quarts because 4 cups only goes into 1 quart and 2 quarts is a greater number then 1 so 2 quarts

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3 years ago

Use the rational root theorem to list all possible rational roots for the equation.

Alik [6]

Answer:

The possible rational roots are

$\pm 1, \pm 2,\pm3,\pm6,\pm \frac{1}{3},\pm \frac{2}{3}$

Step-by-step explanation:

We have been given the equation 3x^3+9x-6=0 and we have to list all possible rational roots by rational root theorem.

The factors of constant term are $1, 2, 3,6$

The factors of leading coefficient are $1,3,$

From ration root theorem, the possible roots are the ratio of the factors of the constant term and the factors of the leading coefficient. We include both positive as well as negative, hence we must include plus minus.

$\pm\frac{1,2,3,6}{1,3}\\\\ =\pm 1, \pm 2,\pm3,\pm6,\pm \frac{1}{3},\pm \frac{2}{3}$