Which of the following is the minimum value of the function? y=1/2x2+2x+8

(6,38)

Step-by-step explanation:

Since the x² term is positive, we know there will be a minimum point.

The formula to find the minimum in an equation of the type y = Ax² + Bx + C

is the following:

So, in our equation,

A = 1/2

B = 2

C = 8

If we enter those values in the formula, we get:

Now that gives us the value of x = 6.

We enter that in the given equation to obtain the y coordinate of the minimum:

So y = 38 when x = 6.

Minimum point is then (6,38)

i only know the sequence of arithmetic it adds the first is 5+4 then it goes up as it adds to then it is 9+5 then 14+6 then to 20+7 and so on. 5,9,14,20,27,35.

step-by-step explanation:

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).