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What else can I help you with?
What similarities and differences do you see between functions and linear equations studied in Ch 3 Are all linear equations functions Is there an instance in which a linear equation is not a funct?
Assuming you work with two variables (like x and y) only: if the graph is a vertical line, e.g. x = 5, then it is not a function. Otherwise it is.
Is there an instance that a linear equation is not a function?
There is one form of linear equation that is not a function, and that is when x = c, where c is a constant.
How would you know that your equation has infinite solutions without actually solving it?
In some cases, a knowledge of the function in question helps. For example, when you have multiple equations, if you have more equations than variables you will usually have infinite solutions. Another example is that certain functions are known to be periodic, for instance the trigonometric functions - so an equation such as sin(x) = 1/2 may have infinite solution, due to the periodicity.
Is there instance in which a linear equation is not a function?
yes, a vertical line is linear, but it's not a function.
What linear equation equals 91?
There are many linear equations that equal 91! For instance, 2x + 4 = 91 and 3x + 5 = 91 Too many equations.. The question needs revision!.
A system of linear equations with an infinite number of solutions?
This can happen in different ways: a) More variables than equations. For instance, a single equation with two variables (such as x + y = 15), two equations with three variables, two equations with four variables, etc. b) To of the equations describe the same line, plane, or hyper-plane - this, in turn, will result in that you "really" have less equations than it seems. For example: y = 2x + 3 2y = 4x + 6 The second equation is simply the first equation multiplied by 2.
What is equivalent ratio's equation?
Equations are said to be equivalent if they have the same solution. This definition also holds true in rational equations or equations involving rational expressions. For instance, the equations 2x = 14 and x - 3 = 4 are equivalent. Why? It's because they have the same solution, that is x = 7.
What is no solution?
In mathematics, "no solution" refers to a scenario where an equation or system of equations has no values that satisfy all conditions simultaneously. For instance, in a linear equation, this occurs when the lines represented by the equations are parallel and never intersect. In practical terms, it means that the problem cannot be resolved within the given constraints.
Is there an instance when a linear equation is not a function?
Yes, a vertical line is linear, but it is not a function, because every point on the line has the same x value.
Is it possible for two exponential equations to have one solution?
Yes, it is possible for two exponential equations to have only one solution. This typically occurs when the graphs of the two exponential functions intersect at exactly one point. For instance, if one function grows faster than the other, they may only meet at a single value of the independent variable before diverging. However, this scenario depends on the specific parameters of the equations involved.
What is nhanes III pulmonary equations?
These are equations to calculate reference values for pulmonary function testing. The parameters are for instance TLC (Total lung capacity), VC (vital capacity), FRC (functionnal residual capacity) etc...
How do you determine a equation that is function?
If an equation is a function, then:The set of coordinates doesn't consists of the same first member. For instance, the set can't contain (1,2) and (1,1).There exists only a function within the specific interval. For instance, f(x) = x within -1 ≤ x ≤ 1 and x + 2 within 1 < x ≤ 3. If f(x) = x and x + 2 within -1 ≤ x ≤ 1, then this doesn't make an equation the function.
