Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.
Domain: ( − ∞ , ∞ ) , { x | x ∈ R }
Range: ( − ∞ , 16 ] , { y | y ≤ 16 }
Answer:
Step-by-step explanation:
step 1
Find the volume of the cylinder
The volume of the cylinder is equal to
we have
---> the radius is half the diameter
substitute
step 2
Find the volume of the cone
The volume of the cone is equal to
we have
we have
---> the radius is the same that the radius of the cylinder
substitute
step 3
Find the volume of the plastic object
we know that
The volume of the plastic object is equal to the volume of the cylinder minus the volume of the cone
so
assume
Answer:
B. x < -8 or x > 8
Step-by-step explanation:
You can use process of elimination to solve this problem by going through every solution and testing them out, but let's jump right to B.
Process:
You know that since the inequality states that x^2 has to be greater than 64, x has to be more than 8, or less than -8.
This is because 8^2 = 64, and -8^2 = 64, and the inequality requires the answer to be more than 64.
Looking at B., you can see that if x is < -8, the square of, for example, -9, would be 81. This is greater than 64, so this works!
Now, B. also has an alternative. The 'or' is a major clue to which is the correct answer, since the square root of any number can be positive or negative. (-8^2 = 8^2)
The 'or' states that x must be greater than 8. So, for example, if we take the square of 10, we get 100, and that is also greater than 64.
We've proven that this solution is accurate for both parts, so it is definitely the one we want!
Hope this helps!
Answer: im pretty sure its 35ft
Step-by-step explanation:
Answer:
Claire = 30 stickers
Josh = 60 stickers
Ann = 67 stickers
Step-by-step explanation:
Let
Claire stickers= x
Josh = 2x
Ann= 2x + 7
Total stickers = 157
Total stickers = Claire stickers + Josh stickers + Ann stickers
157 = x + (2x) + (2x+7)
157 = x + 2x + 2x + 7
157 = 5x + 7
Subtract 7 from both sides
157 - 7 = 5x + 7 - 7
150 = 5x
Divide both sides by 5
150/5 = x
30 = x
x = 30
Claire stickers= x
=30 stickers
Josh = 2x
= 2(30)
= 60 stickers
Ann= 2x + 7
= 2(30) + 7
= 60 + 7
= 67 stickers
Claire = 30 stickers
Josh = 60 stickers
Ann = 67 stickers
