<u>Given</u>:
The height of the bird at time t is given by the function 
We need to determine the time it takes the worm to be eaten by the bird.
<u>Time taken:</u>
The time can be determined by substituting h(t) = 0 in the function.
Thus, we have;

Switch sides, we get;

Let us solve the equation using the quadratic formula.
Thus, we get;

Simplifying, we get;



The values of t are given by
and 
and 
and 
Since, the value of t cannot be negative, then 
Thus, the time taken by the bird to eat the worm is
seconds.
Hence, Option B is the correct answer.
First, find how much he paid by tire.
To do so, divide what he paid by how many tires he bought like this :
240$ / 12 = 20$ per tire
Then, calculate how much he sells each tire.
To do so, start by calculating how much he paid for 3 tires:
20$ x 3 = 60$
This is the price he sells 2 tires for, therefore :
60$ / 2 = 30$
he sells his tires 30$ each.
Finally, you have to calculate the profit he made by selling 12.
We already know how much it cost, so you need to find how much money he gets selling them :
12 tires x 30$ = 360$
To find the profit, take off the amount he paid from the amount he made :
360$ - 240$ = 120$
There you go!
Usando el concepto de pendiente, se encuentra que el cambio en la distancia horizontal es de 10 pies.
La pendiente de una reta es la <u>razón entre el cambio vertical y el cambio horizontal,</u> o sea, cual el cambio vertical cuando el cambio horizontal es de 1.
En este problema, hay que:
- La pendiente es -100, o sea, cuando hay un desplazamiento de un pie por adelante, hay una queda de 100 pies.
- Bajado 1000 pies, entonces, aplicando la proporción:
1 pie H -> -100 pies V
x pie H -> -1000 pies V
Aplicando la multiplicación cruzada:




El cambio en la distancia horizontal es de 10 pies.
Un problema similar es dado en brainly.com/question/24766917