85% as a fraction or mixed number
2 answers:
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Answer:
Explanation:
Amend the typos for better understanding:
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- <em>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 increases by a factor of 5 every 2 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 7600 locusts in the population. Write a function that models the locust population t days since the first day of spring.</em>
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<h2>Solution</h2>A function that grows with a constant factor is modeled by an exponential function of the kind:
Where A is the initial value, B is the constant growing factor, and x is the number of times the growing factor applies.
Since the population increases by a factor of 5 every 2 days, the power x of the exponential function is t/2, and the factor B is 5.
The initial popultaion A is 7600.
Thus, the function that models the locust population t days since the first day of spring is:
Answer:
3
Step-by-step explanation:
We have a system with two equations, one equation is a quadratic function and the other equation is a linear function.
To solve this system we have to clear "y" in both equations, and then equal both equations, then we will have a quadratic function and equal it to zero:
Then to resolve a quadratic equation we apply Bhaskara's formula:
It usually has two solutions.
But it could happen that then the equation doesn't have real solutions.
Or it could happen that there's only one solution, this happen when the linear equation touches the quadratic equation in one point.
And it's not possible to have more than 2 solutions. Then the answer ir 3.
For example:
In the three graphs the pink one is a quadratic function and the green one is a linear function.
In the first graph we can see that the linear function intersects the quadratic function in two points, then there are two solutions.
In the second graph we can see that the linear function intersects the quadratic function in only one point, then there is one solutions.
In the third graph we can see that the linear function doesn't intersect the quadratic function, then there aren't real solutions.
