Answer:
3x>12 2x/3 ≤ 6
3x>12, x = 4 2x/3, x = 2 ≤ 6
Answer:
y = 4x^5 - 12x^4 + 6x and
y = 5x^3 - 2x
Step-by-step explanation:
The system of equations that can be used to find the roots of the equation 4x^5-12x^4+6x=5x^3-2x are;
y = 4x^5 - 12x^4 + 6x and
y = 5x^3 - 2x
We simply formulate two equations by splitting the left and the right hand sides of the given equation.
The next step is to graph these two system of equations on the same graph in order to determine the solution(s) to the given original equation.
The roots of the given equation will be given by the points where these two equations will intersect.
The graph of these two equations is as shown in the attachment below;
The roots are thus;
x = 0 and x = 0.813
Answer: Growth factor will be 0.15 and percent increase will be 15%.
Step-by-step explanation:
Since we have given that
the exponential growth function

1) We need to find the growth factor :
As we know the formula for "Compound Interest ":

If we compare the formula with our given equation, we get

So, the growth factor is at the rate of 0.15.
2) Percent increase will be

Hence, growth factor will be 0.15 and percent increase will be 15%.
they are equal or congruent because if you look at it they both are right triangles
If you're trying to solve for x, keep in mind the ln (natural log) of e is 1. So take the natural log of both sides, which will give you ln Y = ln e^x. The ln and e essentially cancel out, so you're left with x = ln Y.