0
To determine if a coefficient in an equation is closest to zero, you can compare the absolute values of the coefficients in the equation. Identify the coefficient with the smallest absolute value, as this will indicate the one closest to zero. You can also visualize the coefficients on a number line or use a numerical approach to calculate their distances from zero for clearer comparison.
What else can I help you with?
Can you tell how a quadratic equation can become linear equation?
You can easily tell by substituting 0 for a.
What is the meaning of negative coefficient of x?
In the form y=mx+b, b is the y-intercept and m is the coefficient, so if an equation has a negative coefficient, m<0. As a graph, the slope of the line is negative.
The vertex of this parabola is at 3 1 When the y-value is 0 the x-value is 4 What is the coefficient of the squared term in the parabolas equation?
To find the coefficient of the squared term in the parabola's equation, we can use the vertex form of a parabola, which is (y = a(x - h)^2 + k), where ((h, k)) is the vertex. Given the vertex at (3, 1), the equation starts as (y = a(x - 3)^2 + 1). Since the parabola passes through the point (4, 0), we can substitute these values into the equation: (0 = a(4 - 3)^2 + 1), resulting in (0 = a(1) + 1). Solving for (a), we find (a = -1). Thus, the coefficient of the squared term is (-1).
What is the slope of the equation y -7x?
The equation you provided, ( y - 7x = 0 ), can be rearranged to the slope-intercept form ( y = 7x ). In this form, the coefficient of ( x ) represents the slope. Therefore, the slope of the equation is 7.
What does a represent in a quadratic equation?
In a quadratic equation of the form ( ax^2 + bx + c = 0 ), the coefficient ( a ) represents the leading coefficient that determines the shape and orientation of the parabola. If ( a > 0 ), the parabola opens upward, while if ( a < 0 ), it opens downward. Additionally, the value of ( a ) affects the width of the parabola; larger absolute values of ( a ) result in a narrower parabola, while smaller absolute values lead to a wider shape.
The quadratic formula cannot be used to solve an equation if the coefficient of the equation's x2-term is?
The quadratic formula cannot be used to solve an equation if the coefficient of the equation's x2-term is 0.
What is the coefficient of x in the equation of a graph that has slope 0?
y=mx has a slope of m, if the slope is 0, m must be 0. So the coefficient of x is 0.
In a mathmatical equation what is the coefficient?
A coefficient is a number or symbol in front of an algebraic term in an equation. Examples: 4x2 + 2xy - x, the coefficient of x2 is 4 , the coefficient of xy is 2, and the coefficient of x is -1. ax2 + bx + c = 0 where a, b, and c are coefficients that represent any number.
Why can't an equal 0 in a quadratic equation?
a is the coefficient of the x2 term. If is a = 0, then it is no longer a quadratic - it is just a linear equation, and the quadratic formula will not work to solve it.
Can you tell how a quadratic equation can become linear equation?
You can easily tell by substituting 0 for a.
What is the meaning of negative coefficient of x?
In the form y=mx+b, b is the y-intercept and m is the coefficient, so if an equation has a negative coefficient, m<0. As a graph, the slope of the line is negative.
The vertex of this parabola is at -3 -1 When the y-value is 0 the x-value is 4 What is the coefficient of the squared term in the parabolas equation?
The vertex of this parabola is at -3 -1 When the y-value is 0 the x-value is 4. The coefficient of the squared term in the parabolas equation is 7
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.
Choose the quadratic equation with a leading coefficient of 1 that has as solutions -4 and 7?
x^2-3x-28=0...................
What is the coefficient of the squared term in the parabola's equation when the vertex is at 2 -1 and the point 5 0 is on it?
A parabola with vertex (h, k) has equation of the form: y = a(x - h)² + k → vertex (k, h) = (2, -1), and a point on it is (5, 0) → 0 = a(5 - 2)² + -1 → 0 = a(3)² -1 → 1 = 9a → a = 1/9 → The coefficient of the x² term is 1/9
What does c stand for in the quadratic equation?
ax^2+bx+c, so it's the coefficient in front of your x^0 term
How do you know that a graph of a line is not a horizontal line?
The coefficient of x is 0 in the equation of line (The x term is missing).Equation of a horizontal line is of the type y=constant.For eg: y=3, y=-1 etc.
