On a camping trip with friends, you read about mosquito activity after dark. the number of mosquitos in your campground can be modeled using the function g(x) = x4 + 6x2 + 2x − 11, where x is the number of hours after sunset. you go out to build a campfire 3 hours after sunset. how many mosquitos are in your campground?
a) 0
b) 54
c) 66
d) 130

There are 130 mosquitoes in your campground ⇒ answer D

Step-by-step explanation:

* Lets explain how to solve the problem

-  The number of mosquitoes in the campground can be modeled

  using the function g(x) = x^4 + 6x² + 2x − 11

- The number of hours after sunset is x

- You go out to build a campfire 3 hours after sunset

- To find the number of mosquitoes substitute x by 3

* Lets solve the problem

∵ g(x) represents the number of mosquitoes in the campground

∵ g(x) = x^4 + 6x² + 2x - 11

∵ x is the number of hours after the sunset

∵ You want to know the number of mosquitoes after 3 hours

   from the sunset

- Substitute x by 3 in g(x)

∴ g(3) = (3)^4 + 6(3)² + 2(3) - 11

∴ g(3) = 81 + 6(9) + 6 -11

∴ g(3) = 81 + 54 + 6 - 11

∴ g(3) = 130

∴ The number of mosquitoes after 3 hours from sunset is 130

* There are 130 mosquitoes in your campground

D) 130

Step-by-step explanation:

Given : The number of mosquitoes in your campground can be modeled using the function , where x is the number of hours after sunset.

For x= 3

The number of mosquitoes in your campground 3 hours after sunset ,will be

Simplify ,

Therefore, there are 130 mosquitoes in your campground .

Hence, the correct options is D) 130

the entire expression should be subtracted from 30. to subtract the quantity, distribute the negative sign, which changes the signs on the terms. so, the –2 changes to positive and gets added to 30 instead of subtracted from it.

hope this ! ^w^

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step-by-step explanation: