The function f(x) = 10(5)x represents the growth of a lizard population every year in a remote desert. crista wants to manipulate the formula to an equivalent form that calculates every half-year, not every year. which function is correct for crista's purposes?

Step-by-step explanation:

We have been given a function , which represents represents the growth of a lizard population every year in a remote desert.

As Christa wants to write an an equivalent form that calculates every half-year, so we need to manipulate our function in such a way that when we substitute x = 1, the outer exponent becomes half.

That would be only possible, if we had x/2 in the outer exponent.

Using exponent property  we can we can write a function that calculates the lizard population every half-year as:

Therefore, the function represents the growth of lizard population every half year.

x = ± 6i

step-by-step explanation:

x^2 = -36

take the square root of each side

sqrt(x^2) = sqrt(-36)

we know sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(36) sqrt(-1)

we know that sqrt (-1) = i

x = ± 6i