The governing equation is z = k/x.
When x=3, z = 1 2/3, or z = 5/3. Find k: 5/3 = k/3. Then k = 5, and the
governing equation becomes z = 5/x.
Now if x=12,
z = 5/12 (answer)
Answer:
c is the correct answer
Step-by-step explanation:
because i worked it out
A) I would make the positive integer x and then form an equation.
x + 30 = x^2 - 12
x + 42 = x^2
0 = x^2 - x - 42 this can be factorised
(x - 7) ( x + 6) Therefore x = 7 or x = -6
Since the question asks for a positive integer the answer is 7.
B) two positive numbers x and y.
X - y = 3
x^2 + y^2 = 117
Use these simultaneous equations to figure out each number.
Rearrange the first equation
x = y + 3
Then substitute it into the second equation.
(y+3)^2 + y^2 = 117
y^2 + 6y + 9 + y^2 = 117
2y^2 + 6y - 108 = 0
then factorise this.
(2y - 12) (y + 9)
This means that y = 6 or y = -9 but it’s 6 because that’s the only positive number.
Use y to find x
x = y + 3
x = 6 + 3
x = 9
So the answers are x = 9 and y = 6.
If we let 
be the number of pages read in 1 hour, then in 7 hours Doug reads 
pages. We know that this number of pages is 231, so we have
