To express: The given signed numbers as absolute values. Difference of

Find the missing numbers in the following sequences: ${\displaystyle 7,9,12,16,21,34,42,59}$

Express the distance between the numbers 2 and 17 using absolute value. Then find the distance by evaluating the absolute value expression ?

To insert: Appropriate signs (<, >, =) in each statement to make them true: |-7| |6|

Suppose we define a summation graph $G$ as follows:
Each vertex $v\in G$ has a unique but unknown value ascribed to it. Each edge $e\in G$ is labelled with the sum of the values of the two vertices it joins.
This construction corresponds to a system of equations where each equation is of the form $v_a+v_b=e_{ab}$ where $v_1$ and $v_2$ correspond to the unknown values of two vertices $ф$ and $b$, and $e_{ab}$ the value of the edge joining the two.
Now, if there is any odd cycle, it's known that there will always be a unique solution for just that cycle. But with an even cycle, there are either an infinite number of possible values, or an inherent contradiction in the values of the edges that make a solution impossible.
So my question is this: is it possible that there is some bipartite graph (which has no odd cycles, but can have a bunch of even cycles joined together) that has a configuration of values with a unique solution?

find any solution of this three equations
$2x+6y-z=10$
$3x+2y+2z=1$
$5x+4y+3z=4$

Determine whether each statement makes sense or does not make sense, and explain your reasoning. I'm using a photocopier to reduce an image over and over by 50%, so the exponential function
${\displaystyle f\left(x\right)={\left(\frac{1}{2}\right)}^x}$
models the new image size, where x is the number of reductions.

How can I prove that
${\displaystyle \sum _{i=1}^n{a}_n\cdot \exp \left(q_n\left(x\right)\right)=0}$
cannot have more than two roots?