Answer:
x = 4/5
Step-by-step explanation:
The x-intercept looks like (x, 0); the coordinate 0 indicates that the point lies on the x-axis. If we start with 4/5x + 1/3 y= 1 and let y = 0, we will get an equation for the x-intercept:
(4/5)x + (1/3)(0) =1
Then 4/5x = 1, and (5/4)(4/5)x = (1)(4/5).
Thus, x = 4/5, and the x-intercept is (4/5, 0).
Answer:

Step-by-step explanation:
Taking into account that the growth rate of the number of species on the island is proportional to the density of species (number of species between area of the island), a model based on a differential equation is proposed:

This differential equation can be solved by the method of separable variables like this:
with what you get:

. Taking exponentials on both sides of the equation:


how do you have to
, then

Answer:
ABCD = 0.803
Step-by-step explanation:




ABCD = 89.63 * (-89.63) * (-0.01) * (0.01)
ABCD = 0.803
The correct answer is d15
Since
is the square of x and 6x is twice the product between x and 3, the second square must be 3 squared, i.e. 9.
So, if we think of 15 as 9+6, we have

Which is the required vertex form. This form tells us imediately that the vertex is the point (3,6).
Since the leading coefficient is 1, the parabola is facing upwards (it's U shaped), so the vertex is a minimum.