On the first day of spring, an entire field of flowering trees blossoms. The population of locusts consuming these flowers rapidly increases as the trees blossom. The locust population gains 6/7 of its size every 2.4 days, and can be modeled by a function, L, which depends on the amount of time, t (in days). Before the first day of spring, there were 4600 locusts in the population. Write a function that models the locust population t days since the first day of spring.

4600*(13/7)^t/2.4.

Step-by-step explanation:

We already know that it starts with 4600 locusts. You may think we just do: 4600*6/7. But notice they said: "Of it's size" So it would actually be; 4600+4600*6/7. We can take out a 4600 to make it: 4600(1+6/7). 1 AKA 7/7+6/7 is 13/7. Now we have: 4600*13/7. The problem also says:" Every 2.4 days". Lastly, we add an exponent to 13/7 as t/2.4 days. Our final answer is 4600*(13/7)^t/2.4.

correct answer is infinitely many solutions

step-by-step explanation:

2(2x + 3) = -4 + 2(2x + 5)

solving the above equation:

4x + 6 = -4 +4x +10

combining like terms

4x -4x = -4+10-6

0=0

since both sides are 0=0, we end up into true statement it means it has infinite many solutions.

so correct answer is infinitely many solutions