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: The area is 5024 yrd^2
Step-by-step explanation:
80 is the diameter to we need to divide it by 2 to find the radius
80/2= 40
A= 3.14* 40^2
A = 3.14 * 1600
A= 5024
Answer:
144 ways
Step-by-step explanation:
Let's think of the 3 persons sitting together as "one". So essentially we have 3 + "1" = "4" persons to arrange.
THey can be arranged in 4! ways, which is:
4! = 4 * 3 * 2 * 1 = 24 ways
Now, the 3 persons themselves can be arranged in 3! ways, which is:
3! = 3 * 2 * 1 = 6 ways
Total ways = 4! * 3! = 24 * 6 = 144 ways
Answer:
. ALL of the beverages at The Zest Nest ARE LIKELY to contain 46 grams of sugar or less, but NONE of the beverages at Jim's juice joint ARE LIKELY to contain LESS THAN 46 grams of sugar.
