Answer:
(-3, 0).
Step-by-step explanation:
At the x intercept y = 0 so
(x + 3) / (x - 2) = 0
x + 3 = 0
x = -3.
x-intercept is at (-3,0).
At least 3 2/3 can fit into 2
1- The answer is that she wants the new time to be 32 minutes
Solution: The question asks that she wants to DECREASE by 20%
What you will do it convert 20% to a decimal (which is 0.20)
Then, you need to multiply the minutes by the decimal:
40 x 0.20 = 8 minutes
Now you know that 8 minutes will be 20% of 40 minutes, so you just subtract 8 from 40 UwU
The answer would be x = 9.
Answer:
The volume of the solid is π/40 cubic units.
Step-by-step explanation:
Please refer to the graph below.
Recall that the area of a semi-circle is given by:

The volume of the solid will be the integral from <em>x</em> = 0 to <em>x</em> = 1 of area A. Since the diameter is given by <em>y</em>, then the radius is <em>y/2</em>. Hence, the volume of the solid is:

Substitute:

Simplify:

Integrate:
![\displaystyle V=\frac{1}{2}\pi \left[\frac{x^5}{20}\Big|_0^1\right]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%3D%5Cfrac%7B1%7D%7B2%7D%5Cpi%20%5Cleft%5B%5Cfrac%7Bx%5E5%7D%7B20%7D%5CBig%7C_0%5E1%5Cright%5D)
Evaluate:

The volume of the solid is π/40 cubic units.