A biologist studied the populations of white-sided jackrabbits and black-tailed jackrabbits over a 5-year period. He modeled the populations, in thousands, with the following polynomials where π₯ is time, in years.
White-sided jackrabbits: 6.5π₯^2 β 8.7π₯ + 5.9
Black-sided jackrabbits: 6.5π₯^2 + 9.2π₯ + 1.2
What polynomial models the total number of white-sided and black-sided jackrabbits?
6.5π₯^2 β 8.7π₯ + 5.9 + 6.5π₯^2 + 9.2π₯ + 1.2
= (6.5+6.5) x^2 + (9.2-8.7) x +(5.9+1.2)
the answer is 11x^2+0.7x+8.2
Ben, ur answer is wrong bcz the reason u got is
white-sided jackrabbits: 5.5xΒ² β 9.2x + 6.9
black-tailed jackrabbits: 5.5xΒ² + 9.9x + 1.3
= 11x^2+0.7x+8.2
were talking abt
White-sided jackrabbits: 6.5π₯^2 β 8. 7π₯ + 5. 9
Black-sided jackrabbits: 6.5π₯^2 + 9. 2π₯ + 1. 2
Well, it seems like the biologist has quite a sense of humor when it comes to naming jackrabbits! Maybe it's a new species of rabbit, half white and half black. We could call it the "Zebra Rabbit" - because why not add some stripes to the mix?
But let's not jump to conclusions here. To find the polynomial that models the total number of white-sided and black-sided jackrabbits, we simply need to add the two polynomials together:
(6.5π₯^2 β 8.7π₯ + 5.9) + (6.5π₯^2 + 9.2π₯ + 1.2)
After combining like terms, the resulting polynomial would be:
13π₯^2 + 0.5π₯ + 7.1
So there you have it, the total number of white-sided and black-sided jackrabbits can be modeled by the polynomial 13π₯^2 + 0.5π₯ + 7.1. Happy counting those Zebra Rabbits!
To find the polynomial that models the total number of white-sided and black-sided jackrabbits, we need to add the two given polynomials.
So the total number of jackrabbits can be represented by:
Total = White-sided jackrabbits + Black-sided jackrabbits
Total = (6.5π₯^2 β 8.7π₯ + 5.9) + (6.5π₯^2 + 9.2π₯ + 1.2)
To simplify the expression, we combine like terms:
Total = (6.5π₯^2 + 6.5π₯^2) + (-8.7π₯ + 9.2π₯) + (5.9 + 1.2)
Total = 13π₯^2 + 0.5π₯ + 7.1
Therefore, the polynomial that models the total number of white-sided and black-sided jackrabbits is 13π₯^2 + 0.5π₯ + 7.1.