Solve the equation. n3 = 8

Mathematics

2 answers:

Margaret [11]3 years ago

8 0

Answer:

2.66666667

Step-by-step explanation:

vagabundo [1.1K]3 years ago

6 0

Answer:

I'm pretty sure it's 2

Step-by-step explanation:

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What are some ways ou can represent a proportional relationship?equations ,or graphs,or tables ,or can be all of them

Nataly [62]

Proportional relationship

We know a proportional relationship is when one of the variable is obtained by multiplying the other variable by a constant number.

For example, in an equation it can be represented:

y = 2x

In a table, we can represent it by

In a graph,

Answer: all of them

6 0

1 year ago

Suppose a and b are the solutions to the quadratic equation 2x^2-3x-6=0. Find the value of (a+2)(b+2).

KonstantinChe [14]

Answer:

(a+2)(b+2) = 4

Step-by-step explanation:

We are given the following quadratic equation:

$2x^2-3x-6=0$

Let a a and b be the solution of the given quadratic equation.

Solving the equation:

$2x^2-3x-6=0\\\text{Using the quadratic formula}\\\\x = \dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\\\\\text{Comparing the equation to }ax^2 + bx + c = 0\\\text{We have}\\a = 2\\b = -3\\c = -6\\x = \dfrac{3\pm \sqrt{9-4(2)(-6)}}{4} = \dfrac{3\pm \sqrt{57}}{4}\\\\a = \dfrac{3+\sqrt{57}}{4}, b = \dfrac{3-\sqrt{57}}{4}$

We have to find the value of (a+2)(b+2).

Putting the values:

$(a+2)(b+2)\\\\=\bigg(\dfrac{3+\sqrt{57}}{4}+2\bigg)\bigg(\dfrac{3-\sqrt{57}}{4}+2\bigg)\\\\=\bigg(\dfrac{11+\sqrt{57}}{4}\bigg)\bigg(\dfrac{11-\sqrt{57}}{4}\bigg)\\\\=\dfrac{121-57}{156} = \dfrac{64}{16} = 4$