A biologist studied the populations of common guppies and Endler’s guppies over a 6-year period. The biologist modeled the populations, in tens of thousands, with the following polynomials where x is time, in years.
common guppies: 3.1x2 + 6x + 0.3
Endler’s guppies: 4.2x2 – 5.2x + 1
What polynomial models the total number of common and Endler’s guppies? (1 point)
If you add them this is what you get:
3.1x^2+6x+0.3
4.2x2-5.2x+1
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7.3x^2+0.8x+1.3
To find the polynomial that models the total number of common and Endler's guppies, we need to add the two polynomials together.
The polynomial that models the total number of guppies is obtained by adding the corresponding coefficients and combining like terms:
(3.1x^2 + 6x + 0.3) + (4.2x^2 - 5.2x + 1)
Combining like terms, we have:
(3.1x^2 + 4.2x^2) + (6x - 5.2x) + (0.3 + 1)
Simplifying further, we get:
7.3x^2 + 0.8x + 1.3
Therefore, the polynomial that models the total number of common and Endler's guppies is 7.3x^2 + 0.8x + 1.3.
To find the polynomial that represents the total number of common and Endler's guppies, we need to add the two given polynomials together.
The polynomial for the common guppies is 3.1x^2 + 6x + 0.3.
The polynomial for Endler's guppies is 4.2x^2 – 5.2x + 1.
To find the total number of guppies, we need to add the coefficients of the corresponding terms of the two polynomials.
For the x^2 term: 3.1x^2 + 4.2x^2 = 7.3x^2
For the x term: 6x - 5.2x = 0.8x
For the constant term: 0.3 + 1 = 1.3
Therefore, the polynomial that represents the total number of common and Endler's guppies is 7.3x^2 + 0.8x + 1.3.