2x + 6y = 14y - 19x^2 + 12 is a non-linear equation
Step-by-step explanation:
Lets define a linear equation first.
A linear equation is an equation in which there is no variable with exponent greater than 1 or the degree of the equation is 1.
So,
<u>x + 12 = -8x + 10 - 2y</u>
The equation is a linear equation because the degree of the equation is 1.
<u>x = 8x + 19 - 10y</u>
The equation is a linear equation because the degree of the equation is 1.
<u>2x + 6y = 14y - 19x^2 + 12</u>
The equation involve a term with exponent 2 which makes the degree of the equation 2 making it a quadratic equation
<u>2x + 13y + 14x - 7 = 16y - 3</u>
The equation is a linear equation because the degree of the equation is 1.
Hence,
2x + 6y = 14y - 19x^2 + 12 is a non-linear equation
Keywords: Linear, quadratic
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Answer:

Step-by-step explanation:
Given:
The table is given as:
x 0 4 7 8
y 0 24 42 48
The relationship between 'x' and 'y' is a proportional relationship.
A proportional relationship is one in which one variable varies directly with the other by a factor of 'k' also known as constant of proportionality and 
A proportional relationship is given as:

Now, we plug in 'x' and 'y' values and find the value of 'k'.
Let 

Therefore, the constant of proportionality is 6. Hence the complete equation is given as:

Answer:

When squaring a fraction, square both numerator AND denominator
Answer:
x³ - 3 x² - 13 x + 15 = 0
Step-by-step explanation:
Basically you can create three factors like this:
(x+3)(x-1)(x-5)=0
That will each represent one zero.
Work it out and you get x³ - 3 x² - 13 x + 15 = 0