We have been given a quadratic function
and we need to restrict the domain such that it becomes a one to one function.
We know that vertex of this quadratic function occurs at (5,2).
Further, we know that range of this function is
.
If we restrict the domain of this function to either
or
, it will become one to one function.
Let us know find its inverse.

Upon interchanging x and y, we get:

Let us now solve this function for y.

Hence, the inverse function would be
if we restrict the domain of original function to
and the inverse function would be
if we restrict the domain to
.
Answer:
The weight of cat is <u>14 pounds</u> and the weight of kitten is <u>4 pounds</u>.
Step-by-step explanation:
Given:
Callie has a new kitten. It can weigh 3 pounds less than half the weight of Callie‘s cat. Together the cat and kitten weigh 18 pounds.
Now, to find the weight of each animal:
Let the cat's weight be 
And the kitten weight = 
Total weight of cat and kitten = 18 pounds.
Now, to set an equation to get the weight of each animal:




<em>Multiplying both sides by 2 we get:</em>
<em />
<em />
<em>Adding both sides by 6 we get:</em>
<em />
<em />
<em>Dividing both sides by 3 we get:</em>
<em />
<em />
<em>The weight of cat = 14 pounds.</em>
Substituting the value of
to get the kitten's weight:

<em>The kitten's weight = 4 pounds.</em>
Therefore, the weight of cat is 14 pounds and the weight of kitten is 4 pounds.
Answer:
22x^2 -10xy + 12x
Step-by-step explanation:
To add and subtract polynomials, combine only like terms. When doing it vertically, stack polynomials and line up the same bases and exponents. Once this is done, simply add and subtract the coefficients.
10x^2 + 12xy + 4x
+ 12x^2 -22xy + 8x
_________________
22x^2 -10xy + 12x
Here we added 10 + 12 = 22, 12 + -22 = -10 and 4 + 8 = 12.
Answer: I dont know i am only 9 years old i will call the internet police
Step-by-step explanation:
Step-by-step explanation:
= 4x-x+5x+1+8-2
=8x+7
proved##