In the function f(x) = (x - 2)2 + 4, the minimum value occurs when x is

x=2

Step-by-step explanation:

The minimum value of the function would be its vertex, where the x-coordinate is defined as in the form of , so we expand the function first:

This is now in the form of and we use our rule:

Thus, the minimum value of the function occurs when x=2

For this case we have the following function:

To write in standard form, we follow the following steps:

Step 1:

We solve the binomial squared:

Step 2:

We combine similar terms:

the function, , in standard form is:

For this case we have the following function:

To write in standard form, we follow the following steps:

Step 1:

We solve the binomial squared:

Step 2:

We combine similar terms:

the function, , in standard form is:

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

The answer is in the image 

The answer is in the image 

The solution is in the following image