Step-by-step explanation:
3(2x - 3) - 4(2x + 1) <= 26
-2x - 13 <= 26
2x <= -39
x <= -19.5.
Answer:
Depends on the domain and the graph.
Step-by-step explanation:
Answer:
y-7=3(x-9)
Step-by-step explanation:
It appears they want your answer in point-slope form, which is identified by the equation y-y1=m(x-x1)
Step 1: Find the slope (m)
m=(y2-y1)/(x2-x1)
m=(-8-7)/(4-9)
m=(-15)/(-5)
m=3
The slope is m=3
Step 2: Plug in m, y1, and x1
y-y1=m(x-x1)
y-7=3(x-9)
Therefore our final equation is y-7=3(x-9)
Answer:
Volume = 16 unit^3
Step-by-step explanation:
Given:
- Solid lies between planes x = 0 and x = 4.
- The diagonals rum from curves y = sqrt(x) to y = -sqrt(x)
Find:
Determine the Volume bounded.
Solution:
- First we will find the projected area of the solid on the x = 0 plane.
A(x) = 0.5*(diagonal)^2
- Since the diagonal run from y = sqrt(x) to y = -sqrt(x). We have,
A(x) = 0.5*(sqrt(x) + sqrt(x) )^2
A(x) = 0.5*(4x) = 2x
- Using the Area we will integrate int the direction of x from 0 to 4 too get the volume of the solid:
V = integral(A(x)).dx
V = integral(2*x).dx
V = x^2
- Evaluate limits 0 < x < 4:
V= 16 - 0 = 16 unit^3
Answer:
It's 1/2 I found this out by subtracting 3/4 - 1/3= 5/12 and if you put that into a decimal it would be .41. So that 1/4= .25 and 1/2= .50. You could figure out that it’s closed to 1/2.
