Due today

which shows this inequality graphed on a number line? -2x + 3 < 5

a

b

c

d

Solve for x to get...

-2x + 3 < 5

-2x + 3-3 < 5-3 ... subtract 3 from both sides

-2x < 2

-2x/(-2) > 2/(-2) divide both sides by -2; inequality sign flips

x > -1

Note the inequality sign flipped because we divided both sides by a negative number.

The graph will be a number line with an open circle at -1 saying to the reader "do not include this value in the shaded region solution set". The shading is to the right to indicate all of the values larger than -1 (such as 0 or 2 or 10). There are infinitely many values in the solution set.

step-by-step explanation:

we can use this expression to calculate the energy gain as a particle moves with a field or the energy loss as it moves against it. (note that it is also used to define the electron-volt, a unit of energy equal to that gained by an electron as it falls through a pd of 1 v, i.e. w = 1 ev = 1.6 10-19 c 1 v = 1.6 10-19j).in fact this expression is really nothing more than the statement that potential is the potential energy per unit charge. in this case, v= w/qis simply stating that the change in potential energy(or work done) per unit charge is equal to the change in potential (or potential difference), v.student questions: uniform electric fields2electron beamcathode+5 kvanode0 v

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,