A biologist studied the populations of black bear and brown bears over a 10-year period. The biologist modeled the populations, in thousands, with the following polynomials where x is time, in years.
black bears: 2.3x^2 – 5.6x + 2.3
brown bears: 2.4x^2 + 7.2x + 0.97
What polynomial models the total number of brown and black bears?
i think it is 4.7x^2+1.6+3.7
Good, except for the typo:
4.7x^2 + 1.6x + 3.27
*3.27
Thank u ^^
Well, close but not quite! Let's see if we can figure out the correct polynomial for the total number of black and brown bears.
To find the total number of bears, we will add the number of black bears and the number of brown bears together. So, let's add the two given polynomials:
(2.3x^2 – 5.6x + 2.3) + (2.4x^2 + 7.2x + 0.97)
Now, let's simplify by combining like terms:
4.7x^2 + 1.6x + 3.27
Therefore, the correct polynomial model for the total number of black and brown bears over the 10-year period would be:
4.7x^2 + 1.6x + 3.27
Nice try, though! Keep up the math-tastic work!
To find the polynomial that models the total number of brown and black bears, you need to add the polynomials for black bears and brown bears.
The polynomial for black bears is given as: 2.3x^2 – 5.6x + 2.3
The polynomial for brown bears is given as: 2.4x^2 + 7.2x + 0.97
To find the total number of bears, add the two polynomials:
(2.3x^2 – 5.6x + 2.3) + (2.4x^2 + 7.2x + 0.97)
Combining like terms, you get:
(2.3x^2 + 2.4x^2) + (-5.6x + 7.2x) + (2.3 + 0.97)
Simplifying further, you have:
4.7x^2 + 1.6x + 3.27
Therefore, the polynomial that models the total number of brown and black bears is 4.7x^2 + 1.6x + 3.27.