The function h(x)=x^2+3 and g(x)=x^2-6. If g(x)=h(x)+k, what is the values of k?

The value of is -9.

Step-by-step explanation:

Let , we proceed to manipulate the expression algebraically to derive an expression equivalent to , where .

Definition of subtraction.

Commutative and associative properties.

  /Result

We notice that value of is -9.

proportions are fractions that equal to each other. so if two fractions are the same, they are proportional.

let's check the answers to see if they are proportional.

question a is not proportional because you can't turn 1.5/3 to 3/9. if you try to multiply 1.5/3 by 2 or 3, you wont get 3/9. it's impossible to make the fractions the same.

question b is not proportional because you can't turn 22/33 to 4/6. 33 can't go into 6.

question c is proportional because when you multiply 2 and 3 by 71, you would get 142/213, and those fractions equal to each other

question d is proportional because when you divide 14 and 7 by 2, you would end up with 7/3.5, and those fractions equal to each other.