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What is the coefficient of x in the equation 4y 5-x?
5
Is a linear equation the same as a function?
No a linear equation are not the same as a linear function. The linear function is written as Ax+By=C. The linear equation is f{x}=m+b.
What are quadratic equations?
In mathematics, a quadratic equation is a polynomial equation of the second degree. The general form is : where a≠ 0. (For if a = 0, the equation becomes a linear equation.) The letters a, b, and c are called coefficients: the quadratic coefficient a is the coefficient of x2, the linear coefficient b is the coefficient of x, and c is the constant coefficient, also called the free term or constant term. Quadratic equations are called quadratic because quadratus is Latin for "square"; in the leading term the variable is squared. A quadratic equation with real or complex coefficients has two (not necessarily distinct) solutions, called roots, which may or may not be real, given by the quadratic formula: : where the symbol "±" indicates that both : and are solutions.
Why can't a coefficient of x and y in standard form of a linear equation cannot both be zero?
Standard form of a linear equation is represented as Ax + By = C If A and B are the coefficients of the x and y and they are both equal to zero then C would always be equal to 0 for any given x and y value. 0x + 0y = 0 Since the linear equation is an equation between two variables that gives a straight line when plotted on a graph, (0,0) is a point itself and wouldn't be able to form a line.
How is the multiplicative inverse used to solve an equation that has a rational coefficient?
When you multiply both sides of the equation with the multiplicative inverse of the coefficient then the coefficient becomes one. 1/2*x =5 2*1/2*x=2*5 1x=10 x=10
How can you determine when a function is increasing or decreasing?
Assuming the function is linear, the direction of the function can be determined by the coefficient's sign:[y = mx + b]Where m is the coefficient of x, if m is negative, then the function is increasing. If m is positive, the function is decreasing (this relationship is rather complicated and requires advanced calculus to prove).
What is the quadratic formula cannot be used to solve an equation if the coefficient of the equation x square term is?
The quadratic formula cannot be used to solve an equation if the coefficient of the equation x square term is what?
What is the slope of the line that has the equation y4x 2?
y = 4x + 2 It has a slope (gradient) or 4. The slope/gradient of a linear function is simply the number in front of the x when the equation is in the form y=mx+b. (the coefficient of x).
What is the coefficient of x in the equation 4y 5-x?
5
Do a linear equation and a function share the same definition?
No. A function need not be linear. For example, y = sin(x) is a function of x but it is not a linear equation.
Is a linear equation the same as a function?
No a linear equation are not the same as a linear function. The linear function is written as Ax+By=C. The linear equation is f{x}=m+b.
How do you draw a continuous linear decreasing function?
A continuous linear decreasing function is a line that goes on forever and has a negative slope (is downhill from left to right). For example, the line y = -x is a continuous linear decreasing function.
What are quadratic equations?
In mathematics, a quadratic equation is a polynomial equation of the second degree. The general form is : where a≠ 0. (For if a = 0, the equation becomes a linear equation.) The letters a, b, and c are called coefficients: the quadratic coefficient a is the coefficient of x2, the linear coefficient b is the coefficient of x, and c is the constant coefficient, also called the free term or constant term. Quadratic equations are called quadratic because quadratus is Latin for "square"; in the leading term the variable is squared. A quadratic equation with real or complex coefficients has two (not necessarily distinct) solutions, called roots, which may or may not be real, given by the quadratic formula: : where the symbol "±" indicates that both : and are solutions.
How can the degree of the equation tell us if the equation is linear or not?
A linear equation always has a degree of one because the slope has to be constant to form a line. So, x + 7 is linear, 7 - x is linear, 4x - 3.7 is linear, but anything with x2 , etc. is not linear.
In the slope-intercept equation for a line the coefficient of the x-term gives the .?
The coefficient of the x term gives the gradient of the slope.
How do you figure out if an equation is a linear equation?
An equation is linear if the highest power of the unknown in the equation is 1for example an equation with just a variable to the power one such as x, y and so on is linear but one with x2, y2 and above is not linear
Why can't a coefficient of x and y in standard form of a linear equation cannot both be zero?
Standard form of a linear equation is represented as Ax + By = C If A and B are the coefficients of the x and y and they are both equal to zero then C would always be equal to 0 for any given x and y value. 0x + 0y = 0 Since the linear equation is an equation between two variables that gives a straight line when plotted on a graph, (0,0) is a point itself and wouldn't be able to form a line.
