On average, Christopher scores 2 goals in a soccer game but, depending on how well the opposing team is playing, his goal total can vary from the average by 1 goal. Which absolute value equation can be used to calculate Christopher's maximum and minimum goals per game? |x−1|=2

|x+1|=2

|x−2|=1

|x+2|=1

Given:

Christopher scores 2 goals in a soccer game.

His goal total can vary from the average by 1 goal.

To find:

The absolute value equation can be used to calculate Christopher's maximum and minimum goals per game.

Solution:

Let Christopher scores x goals in a soccer game.

Then difference between actual goals and average goals is x-2.

His goal total can vary from the average by 1 goal.

Maximum number of goals = 2+1 = 3

Minimum number of goals = 2-1 = 1

It means, the difference between actual goals and average goals is either -1 and 1.

       ...(1)

        ...(2)

Using (1) and (2),we get

Therefore, the correct option is C.

the domain of a function is the set of input values, x , for which a function is defined. the domain is shown in the left oval in the picture below. the function provides an output value, f(x) , for each member of the domain.

given : the shape of his satellite can be modeled by   where x and y are modeled in inches.

now,the given equation   is a equation of parabola.

here, coefficient of x is positive, hence the parabola opens rightwards.

on comparing this equation with standard equation , we get

in standard equation, coordinates of focus=(0,m)

thus for given equation coordinates of focus=(0,1.5)

step-by-step explanation: