Answer: y = 1/2x + 1
Step-by-step explanation:
9514 1404 393
Answer:
B, C
Step-by-step explanation:
Linearly dependent sets can be found using row-reduction techniques. If a row ends up zero, then the set is linearly dependent. Equivalently, the determinant of a 3×3 matrix can be computed. If it is zero, the set is dependent. The cross-product of two 3-D vectors can be computed. If it is zero, the vectors are dependent.
Any set of vectors that has more elements than each vector does must necessarily be dependent.
It is helpful to be able to use a calculator capable of performing these calculations (as opposed to doing it by hand). The first attachment shows the result of computing the reduced row-echelon form of the first set of 3 vectors. The set is found to be independent.
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The second set of vectors is clearly dependent, as the second vector is 5 times the first.
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The third set contains more vectors than there are elements to a vector. Hence at least one of them can be created using some combination of the others. This set is dependent.
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The cross-product of the fourth set is non-zero, so it is independent. The second attachment shows the result of a row-reduction tool on these vectors.
Answer:
The correct option is;
Reflection over the y-axis
Step-by-step explanation:
An even function is a function that satisfies the following function equation;
f(x) = f(-x)
Therefore, for an even function, we have;
f(x) - f(-x) = 0
Which gives that the values of f(x) of the even function is the same upon reflection about the y-axis whereby the values of x changes from x to -x
Therefore, the symmetry of an even function is about the y-axis
However, an odd function is a function that satisfies the following function equation;
f(-x) = -f(x)
Therefore, reflection across the y-axis will result in an inversion of the odd function such that the odd function is not symmetrical about the y-axis as we have;
f(-x) = -f(x) ≠ f(x) which simplifies to f(x) ≠ f(-x).
Answer:
history is the correct answer