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Why do you think some equations did a better job predicting height than others?
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Is -3 a solution?
It is for some equations and not for others.
Is a equals 4b consistent?
It is consistent with some equations, not with others.
What makes a system of equations dependent?
If one (or more) of the equations can be expressed as a linear combination of the others. This is equivalent to the statements the matrix of coefficients does not have an inverse (or is singular), or the determinant of the matrix of coefficients is zero.
What are the three types of systems of linear equations and their characteristics?
Independence:The equations of a linear system are independent if none of the equations can be derived algebraically from the others. When the equations are independent, each equation contains new information about the variables, and removing any of the equations increases the size of the solution set.Consistency:The equations of a linear system are consistent if they possess a common solution, and inconsistent otherwise. When the equations are inconsistent, it is possible to derive a contradiction from the equations, such as the statement that 0 = 1.Homogeneous:If the linear equations in a given system have a value of zero for all of their constant terms, the system is homogeneous.If one or more of the system's constant terms aren't zero, then the system is nonhomogeneous.
How is a cube better than a rectangular prism?
It is not intrinsically better. For some things it may be, for others it won't.It is not intrinsically better. For some things it may be, for others it won't.It is not intrinsically better. For some things it may be, for others it won't.It is not intrinsically better. For some things it may be, for others it won't.
Is -3 a solution?
It is for some equations and not for others.
What does the answer 12 equals 12 in a system of equations mean?
It probably means that one of the equations is a linear combination of the others/ To that extent, the system of equations is over-specified.
Is a equals 4b consistent?
It is consistent with some equations, not with others.
Does equations change when you change system of units or when you change any standard?
Some equations change. Others don't depend on the choice of units.
What is the height of a lawn tennis post height and others details?
3.5ft or 4ft
When predicting the actions of others assume that other roadway users will always take the correct action. A. TRUE B. FALSE?
FALSE
What makes a system of equations dependent?
If one (or more) of the equations can be expressed as a linear combination of the others. This is equivalent to the statements the matrix of coefficients does not have an inverse (or is singular), or the determinant of the matrix of coefficients is zero.
What are the three types of systems of linear equations and their characteristics?
Independence:The equations of a linear system are independent if none of the equations can be derived algebraically from the others. When the equations are independent, each equation contains new information about the variables, and removing any of the equations increases the size of the solution set.Consistency:The equations of a linear system are consistent if they possess a common solution, and inconsistent otherwise. When the equations are inconsistent, it is possible to derive a contradiction from the equations, such as the statement that 0 = 1.Homogeneous:If the linear equations in a given system have a value of zero for all of their constant terms, the system is homogeneous.If one or more of the system's constant terms aren't zero, then the system is nonhomogeneous.
What does it means if there are an infinite number of solutions to a system of equations?
In simple terms all that it means that there are more solutions than you can count!If the equations are all linear, some possibilities are given below (some are equivalent statements):there are fewer equations than variablesthe matrix of coefficients is singularthe matrix of coefficients cannot be invertedone of the equations is a linear combination of the others
What is independent system?
Independence:The equations of a linear system are independentif none of the equations can be derived algebraically from the others. When the equations are independent, each equation contains new information about the variables, and removing any of the equations increases the size of the solution set.Consistency:The equations of a linear system are consistent if they possess a common solution, and inconsistent otherwise. When the equations are inconsistent, it is possible to derive a contradiction from the equations, such as the statement that 0 = 1.Homogeneous:If the linear equations in a given system have a value of zero for all of their constant terms, the system is homogeneous.If one or more of the system's constant terms aren't zero, then the system is nonhomogeneous.
How is a cube better than a rectangular prism?
It is not intrinsically better. For some things it may be, for others it won't.It is not intrinsically better. For some things it may be, for others it won't.It is not intrinsically better. For some things it may be, for others it won't.It is not intrinsically better. For some things it may be, for others it won't.
Do Tennessee walking horses buck?
All horses can jump. Some of them are better than others and have been bred for it, and others can not so well. But any horse should be able to clean a natural height.
