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How are equations different from inequalities?
Equations are statements that state two expressions are equal, while inequalities are statements that state two expressions are not equal, meaning one is greater or less than the other. The graph of the solution set of an equation is a line or a curve, while the graph of the solution set of an inequality is a region at one side of the boundary line or curve obtained by supposing that the inequality was an equation.
Hiw to grapgh a linear equation?
To graph a linear equation, one must first simplify it into the slope-intercept form, y=mx+b, where m is equal to the slope of the line. Next, one must find the x and y coordinates. By making x equal to zero the equation can be simplified into y=b, giving the coordinate (0,b). Plot this point on your graph. By making y equal to zero, the equation becomes x=[(-b)/m], giving the coordinate ([(-b)/m], 0). Plot this point on your graph. Once you have both coordinates marked, simply connect these two points with a line.
How is an equation equal?
An equation is equal if you have a math problem on each side of an equal sign.
What does the area under the curve equal?
The are under the curve on the domain (a,b) is equal to the integral of the function at b minus the integral of the function at a
What is a closed curve with all points on the curve an equal distance from a given point?
circle
How are equations different from inequalities?
Equations are statements that state two expressions are equal, while inequalities are statements that state two expressions are not equal, meaning one is greater or less than the other. The graph of the solution set of an equation is a line or a curve, while the graph of the solution set of an inequality is a region at one side of the boundary line or curve obtained by supposing that the inequality was an equation.
Hiw to grapgh a linear equation?
To graph a linear equation, one must first simplify it into the slope-intercept form, y=mx+b, where m is equal to the slope of the line. Next, one must find the x and y coordinates. By making x equal to zero the equation can be simplified into y=b, giving the coordinate (0,b). Plot this point on your graph. By making y equal to zero, the equation becomes x=[(-b)/m], giving the coordinate ([(-b)/m], 0). Plot this point on your graph. Once you have both coordinates marked, simply connect these two points with a line.
How is an equation equal?
An equation is equal if you have a math problem on each side of an equal sign.
What happens if demand curve interacts with the supply curve?
Then demand and supply are equal.
What does the area under the curve equal?
The are under the curve on the domain (a,b) is equal to the integral of the function at b minus the integral of the function at a
What is a closed curve with all points on the curve an equal distance from a given point?
circle
How can you prove in at least two ways that the straight line of y equals 2x plus 5 over 4 is a tangent to the curve of y square equals 10x?
Combine the two equations together to give a quadratic equation in the form of:- 4x2 - 5x + 25/16 = 0 The solution to this is x = 5/8 or x = 5/8 meaning that it has equal roots therefore the line is tangent to the curve. The discriminant of b2 - 4ac = 0 also proves that the quadratic equation has two equal roots which makes the line tangent to the curve. Further proof can be found by plotting the straight line and curve graphically.
What is an equation called that doesn't have an equal sign?
If it doesn't have an equal sign, then it's not an equation.
When does an equation not equal to each other?
Never. By definition, the two sides of an equation are equal.
How do you prove that the line y equals x-4 is tangent to the curve of x squared plus y squared equals 8?
equation 1: y = x-4 => y2 = x2-8x+16 when both sides are squared equation 2: x2+y2 = 8 Substitute equation 1 into equation 2: x2+x2-8x+16 = 8 => 2x2-8x+8 = 0 If the discriminant of the above quadratic equation is zero then this is proof that the line is tangent to the curve: The discriminant: b2-4ac = (-8)2-4*2*8 = 0 Therefore the discriminant is equal to zero thus proving that the line is tangent to the curve.
* a mathematical sentence containing an equal sign?
An equation
Difference between expression and equation?
An expression has no equal sign whereas an equation does have an equal sign
