HELP PLS What is the next term of the following sequence? 20, 10, 5, 2, 1/2 ...

A:3/4
B:1 1/2
C:1 1/4

 C) 1 & 1/4

Explanation:

I'm assuming you meant to say 2 & 1/2 instead of 2,1/2

If so, then we cut that last term 2 & 1/2 in half

The whole part 2 cuts in half to 1

The fractional part 1/2 cuts in half to 1/4

2 & 1/2 cuts in half to 1 & 1/4 which leads to choice C

The reason why we cut in half is because the jump from 20 to 10 is "divide by 2", and the same applies from 10 to 5, and from 5 to 2 & 1/2.

and y≤ -x +4 .

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

.

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

y≤ -x +4 .

Answer: the correct answer is 10step-by-step explanation: let the number be n, then the expression becomes,then“twelve more than the quotient of a number and two, decreased by four” iswhen n=4,we substitute 4 whetever we see n to get,we simplify to obtain,we further simplify to get,therefore the correct answer is c.