Answer:
Step-by-step explanation:
Zero vector are those vectors whose norm is zero and whose direction and direction are undefined. However, they are vector, which posses zero length and no particular direction.
It is the vector of coordinates (0,0). Or, it is defined as the vector of length or zero modulus. The definition of a zero vector is a useful mathematical convention for solving vector equations. It plays the role of the neutral element for the addition of vectors. In a sense, it is an anomaly because it has no direction or meaning, but it is handy from the point of view of vector algebra.
From the question given :
The additive identity of the zero vector in the vector space can be written as:
Answer:
Conjecture : 2xy / ( x + y ) ≤ √xy
Step-by-step explanation:
Harmonic mean of x and y = 2xy/( x + y )
<u>Formulate a conjecture about their relative sizes </u>
we will achieve this by computing harmonic and geometric means
Geometric mean = √xy
harmonic mean = 2xy/( x + y )
Conjecture : 2xy / ( x + y ) ≤ √xy
attached below is the proof
Answer:
It would look like the picture I attached at the bottom.
Step-by-step explanation:
We know that the slope is -3 and the y intercept is (0,4) (plugging in 0 for x will get you that point), and then you can just graph an equation like you normally would, using rise/run to go down 3 units for every one unit you go right, and plugging in easy x values to check your work.
It gets a little tricky because the question then adds the inequality, and we see that y is now less than <em>or equal to </em>the original equation.
Since it is less than, we can shade all the values below the graph.
(Also, you should probably note for future reference that if it was just less than, the shading would look the same while the graph itself would be dotted because the values on the line are nor included in the solution set).
Desmos is a great website to use if you're having trouble graphing in the future :)
