The next number in the series 13, 18, 16, 21, 19,

Answer with Step-by-step explanation:

We are given a series of numbers:

13, 18, 16, 21, 19,...

We have to find the next term of this series

This series can be viewed as two different series

13, 18, 16, 21, 19,...

One which are in bold letters and other whose terms are underlined

and the terms are alternately

The term of both the series are increasing by 3

i.e. 13+3=16    18+3=21

16+3=19          

The next term will be of underlined series

which will be 21+3=24

Hence, next term of the series is:

24

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!