Answer:
The solution in interval notation is:
.
The solution in inequality notation is:
.
Step-by-step explanation:
I think you are asking how to solve this for 
.
Keep in mind 
.
If 
then 
.
Subtract 
on both sides:
Factor the difference of squares 
:
Simplify inside the factors:
The left hand side is a parabola that faces up. I know this because the degree is 2.
The zeros of the the parabola are at x=-6 and x=2/5.
We can solve x+6=0 and 5x-2=0 to reach that conclusion.
x+6=0
Subtract 6 on both sides:
x=-6
5x-2=0
Add 2 on both sides:
5x=2
Divide both sides by 5:
x=2/5
Since the parabola faces us and then we are looking at the interval from x=-6 to x=2/5 as our solution. That part is where the parabola is below the x-axis. We are looking for where it is below since it says the where is the parabola<0.
The solution in interval notation is:
.
The solution in inequality notation is:
.
Answer: a) The figure can be reasonably divided into two geometries:
• a rectangular prism
• a hemisphere.
b) The volume of the rectangular prism is given by
V = lwh
V = (10 cm)(5 cm)(4 cm) = 200 cm³
The volume of the hemisphere is given by
V = (2π/3)r³
V = (2π/3)(3 cm)³ = 18π cm³
c) The total volume of the figure is
total volume = (prism volume) + (hemisphere volume)
V = 200 cm³ + 18π cm³
V ≈ 256.549 cm³
Step-by-step explanation:
Answer:
i believe 1/5
Step-by-step explanation:
Answer:
A. X= 15
Step-by-step explanation:
2x + 3(x - 10) =45
2x + 3x - 30 = 45
5x = 45 + 30
X = 75/5
X = 15
Answer:
d
Step-by-step explanation:
{x|x<-4}
