Read the numbers and decide what the next number should be. 3 4 7 13 14 17 23

24

Step-by-step explanation:

The given sequence of numbers: 3, 4, 7, 13, 14, 17, 23

Let's find the difference between the successive terms.

4 - 3 = 1

7 - 4 = 3

13 - 7 = 6

14 - 13 = 1

17 -14 = 3

23 - 17 = 6

Here we can see the difference patterns +1, + 3, + 6

So the pattern is add 1, add 3, add 6, then add 1, add 3, add 6 and repeated the same.

The next number = 23 add 1 = 23 + 1 = 24

The number of should be 24.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!