Find the common difference in the outputs to find the missing outputs in the table ɑ 5 6 7 8 9 b 3.8 4.6 5.6 ? ?

we have been given table containing 6 points.

let the numbers at question mark (?) are x and y respectivelly so we can rewrite the table as:

In the first row we see that numbers increase by 1 so that clearly means a=4.

Now we need to find the common difference in the outputs to help find the missing outputs in the table.

4.6-3.8=0.8

5.4-4.6=0.8

we are getting common difference of 0.8 so that means missing values can be found by adding or subtracting 0.8 as per their position.

b=3.8-0.8=3

x=5.4+0.8=6.2

y=6.2+0.8=7

Hence the final answer is given by table:

the correct answer option is (2x-3)(2x+3).

step-by-step explanation:

we are given the following expression and we are to factorize it:

we are to find such factors that when multiplied they give a result of 36 (9 x 4 = 36) and when added they give a result of 0.

the two such factors of 36 are negative six and postive six.

factorizing the given expression to get:

therefore, the correct factorization of is (2x-3)(2x+3).