What are the functions that generate the following mixed outputs for the given mixed inputs?
That depends on what the following mixed outputs are. Is this perhaps from the Collins new maths frameworking year 8 textbook? ;)
What happens to a graph of time and distance as speed decreases?
Time is on the x axis and distance is on the y axis. There will be a curve starting at zero (presumably) and going upwards towards the right. The slope of the line at any given x value equals the speed at that point in time. Thus the slope will decrease at the same rate that speed decreases.
How do you check a solution to a system of equations?
Put the values that you find (as the solution) back into one (or more) of the original equations and evaluate them. If they remain true then the solution checks out.
If one equation does not contain all the variables involved in the system, you may have to repeat with another of the original equations.
How is graphing a linear inequality the same as graphing a liner equation?
They are alike in that you graph the lines in the same way, but they are different because you have to shade in one side of the line
What is the answer to an equation problem?
you have to write down the equation first so people can answer it
Can matrices of the same dimension be multiplied?
No. The number of columns of the first matrix needs to be the same as the number of rows of the second.
So, matrices can only be multiplied is their dimensions are k*l and l*m. If the matrices are of the same dimension then the number of rows are the same so that k = l, and the number of columns are the same so that l = m. And therefore both matrices are l*l square matrices.
Why do you need to be able to solve equations?
If you don't learn to solve equations then guess and check is the only way to arrive at new information.
What is the difference between finding the dot product and using scalar multiplication?
They give us different results. The dot product produces a number, while the scalar multiplication produces a vector.
How many kilometers an hour is 79 miles per hour?
About 126.4. Five miles ar, so you can divide by 5 and multiply by 8.
Er.. I'm not Einstein ;-) but I'll try and put you on the right track... The term "magnetic vector" refers to the amplitude and direction of the magnetic field associated with an electromagnetic wave. Hope this helps!
What is slope of 2x-5y equals 7?
I assume that you mean the gradient when you say the slope.
2x-5y=7
2x=7+5y
2x-7=5y
y=2/5 x - 7/5
the gradient is 2/5 or 0.4
Well in linear algebra if given a vector space V,over a field F,and a linear function A:V->V (i.e for each x,y in V and a in F,A(ax+y)=aA(x)+A(y))then ''e" in F is said to be an eigenvalue of A ,if there is a nonzero vector v in V such that A(v)=ev.Now since every linear transformation can represented as a matrix so a more specific definition would be that if u have an NxN matrix "A" then "e" is an eigenvalue for "A" if there exists an N dimensional vector "v" such that Av=ev.Basically a matrix acts on an eigenvector(those vectors whose direction remains unchanged and only magnitude changes when a matrix acts on it) by multiplying its magnitude by a certain factor and
this factor is called the eigenvalue of that eigenvector.
How does a linear relationship show up in a graph?
A linear relationship will show up on a graph as a straight line.
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