Answer:
The answer to your question is below
Step-by-step explanation:
Process
1.- Transform the inequality to a line
2x - y < 4
2x - y = 4
2.- Find the x and y-intercepts
If x = 0, 2(0) - y = 4
0 - y = 4
y = -4 (0, -4)
If y = 0 2x - 0 = 4
2x = 4
x = 2 (2, 0)
3.- Do not consider graphs 1 and 2 because do not go through (0, -4).
4.- The answer is graph three because of the inequality "<", we look for the shaded region below the line.
Answer:
Step-by-step explanation:
Given
Required
The volume of the remaining cylinder
Before the cut-out, the cylinder has a volume (V) of:
After the cut-out, the cylinder has a volume of:
![V = \pi [R^2 -r^2]h](https://tex.z-dn.net/?f=V%20%3D%20%5Cpi%20%5BR%5E2%20-r%5E2%5Dh)
So, we have:
![V = 3.14* [6^2 -5^2]*15](https://tex.z-dn.net/?f=V%20%3D%203.14%2A%20%5B6%5E2%20-5%5E2%5D%2A15)
![V = 3.14* [36 -25]*15](https://tex.z-dn.net/?f=V%20%3D%203.14%2A%20%5B36%20-25%5D%2A15)
X = 9
Since it is a equilateral triangle, the all sides should be 60 degrees. Set one equation to 60 and you would get x = 9.
<span>When doing linear regression, if the correlation coefficient is Negative, the slope of the line is Negative .
</span><span>When doing linear regression, if the correlation coefficient is positive, the slope of the line is positive.
So according to above explanation it is TRUE</span>
Answer:
-9x^2 - 15x.
-3x.
Step-by-step explanation:
The first quotient is -9x^2 - 15x.
To find the second result we divide the above by 3x + 5:
-3x
____________
3x + 5) -9x^2 - 15x
-9x^2 - 15x
-----------------
..................
The result is -3x.
