Given that the debt has been represented by the function:
f(x)=-6x^2+8x+50
To get the number of years, x that it would take for the company to be debt free we proceed as follows:
we solve the equation for f(x)=0
hence:
0=-6x^2+8x+50
solving for x using the quadratic formula we get:
x=[-b+/-sqrt(b^2-4ac)]/2a
x=[-8+/-sqrt(8^2-4*(-6)*50)]/(-6*2)
x=[-8+/-√1264]/(-12)
x=27.552
x~28

5 0

3 years ago

Your adjacent is 15, your opposite is 8, and your missing the hypotenuse of the 90 degree triangle. Express cos E as a fraction

fredd [130]

Step-by-step explanation:

everything can be found in the picture

5 0

3 years ago

Write the equation of the parabola whose focus is (4,0) and directrix at y = 2

goldfiish [28.3K]

Answer:

$\left ( x-4 \right )^{2}+\left ( y-0 \right )^{2}=\left ( y-2 \right )^{2}$

Step-by-step explanation: We know that distance from a point on the parabola and focus is equal to their distance from a the directrix. Let (x, y) be the point,

So,

$\sqrt{\left ( x-4 \right )^{2}+\left ( y-0 \right )^{2}}=\frac{\left | y-2 \right |}{1}$

$\left ( x-4 \right )^{2}+\left ( y-0 \right )^{2}=\left ( y-2 \right )^{2}$ . This is the required equation.

3 0

4 years ago

A) <img src="https://tex.z-dn.net/?f=%5Csqrt%7Bp%5E%7B10%7D%7D" id="TexFormula1" title="\sqrt{p^{10}}" alt="\sqrt{p^{10}}" align

trapecia [35]

5.6049912164

it has to be longer so hi

4 0

3 years ago