forget the numerator of the fraction for now; the x to-the-power -3/6 is equal to x to-the-power -1/2 -- x^(-1/2)
use the rule a^-b= 1/(a^b)
to get: x to-the-power -(-1/2) which = x^1/2
Answer:

Step-by-step explanation:
Equation of a line:
The equation of a line, in point-slope form, has the following format:

In which the point is
and the slope is m.
(3, 20)
This means that
. So


Slope:
The slope is the derivative of the function at the point:
The function is:

The derivative is:

At the point, we have that
. So

So the equation to the tangent line to the curve a the point is:

Answer:
Choice B
Step-by-step explanation:
Divide both of the choices by the price and ounces. You will find that the unit rate of choice B is lower.
Work
3.49/25=0.14
4.79/45=0.106
Therefore choice B has the lowest unit rate and that is the answer!
Answer:
Probabilty= 0.0015355
Step-by-step explanation:
Flaws in a carpet tend to occur randomly and independently at a rate of one every 270 square feet.
Probabilty= 1/270
Probabilty= 0.0037
carpet that is 8 feet by 14 feet
Area=8*14
Area=112 square feet
Probabilty= 0.0037*(112/270)
Probabilty= 0.0037*0.415
Probabilty= 0.0015355