Answer:
z = 42
Step-by-step explanation:
The question can be answered in 2 steps as follows:
Step 1: Calculation of the constant of the variation
The equation for the joint variation can be given as follows:
z = cxy ................... (1)
Where;
z = 60
c = constant = ?
x = 5
y = 6
Substituting the values into equation (1) and solve c, we have:
60 = c * 5 * 6
60 = c * 30
c = 60 / 30
c = 2
Step 2: find z when x = 7 and y = 3
Since from Step 1 c = 2, we now use equation (1) and substitute the values into it to find z as follows:
z = 2 * 7 * 3
z = 42
345= 3 hundreds, 4 tens, and 5 ones
391= 3 hundreds, 9 tens, and 1 one
You can use the model I attached to help u see it better.
Hope this helps!
Answer:
1)
2) 
Step-by-step explanation:
1) To write an Arithmetic Sequence, as an Explicit Term, is to write a general formula to find any term for this sequence following this pattern:

<em>"Write an explicit formula for each explicit formula A(n)=-1+(n-1)(-2)"</em>
This isn't quite clear. So, assuming you meant
Write an explicit formula for each term of this sequence A(n)=-1+(n-1)(-2)
As this A(n)=-1+(n-1)(-2) is already an Explicit Formula, since it is given the first term
the common difference
let's find some terms of this Sequence through this Explicit Formula:

2)
In this Arithmetic Sequence the common difference is 8, the first term value is 4.
Then, just plug in the first term and the common difference into the explicit formula:

(n+3)(m-5) is the answer.
Answer:
1
Step-by-step explanation:
To evaluate f(g(x)) when x = 5, evaluate g(5) then substitute the value obtained into f(x)
g(5) =
=
= 1, then
f(1) = 1² - 3(1) + 3 = 1 - 3 + 3 = 1