Answer:
Domain: 
Step-by-step explanation:
Given
Required
Determine f(x) and its domain
To determine f(x), we replace 5x with x in f(5x)
So, we have:
Take LCM
To get the domain, we set the denominator as
Well first we need to do whatever is in the parentheses, which in this case is: (5x1/20)
Following the order of operations (PEMDAS) we start with the multiplication, which is (5x1). We know that 5x1=5, so now we can move on to the division:
5/20, which is equal to 0.25
So now that we know the answer to the equation in the parentheses is 0.25, we can solve the whole equation.
Here is the equation simplified:
4 (0.25)
Because there is now operation indicated between the 4 and the parentheses, we can assume that multiplication is implied, so the final equation is as follows:
4x0.25=1
The final answer is: 1
Hope this helps!
Answer:
490
Step-by-step explanation:
Let us first count the handshakes between two gremlins. There are 20 gremlins, so there must be 20*19/2=190 handshakes between two gremlins, making sure to divide by two to avoid over-counting.
There are 15 imps that shake hands with each of the 20 gremlins, which makes 15* 20 = 300 handshakes between imps and gremlins.
Adding these up, you have $300 + 190 = 490 total handshakes.
Hope this helps!
The volume of a cuboid is the product of its dimensions.
(9.4 cm)·(5.4 cm)·(11.7 cm) = 593.892 cm³ ≈ 593.9 cm³
The GCF to this question is 1x.
