Answer:
If y varies inversely as x, then we write it as:
y = k/x
where k is some constant.
If we multiply both sides of this equation by x we get an equation for k:
k = x*y
We are given that y=4 when x=7, therefore:
k = 7*4 = 28
Put this back into our original equation to get:
y = 28/x
Answer:
x= -2 y= -1
Step-by-step explanation:
stack the 2 equations on top of each other and add them together
the 2x and -2x cancel out and you are left with -9y=9
this gives you y= -1
you plug the y value into one of the equations:
2x - (-1) = -3
2x+1 = -3
2x= -4
x= -2
Missing part of the question:
Write an inequality to determine the number of articles, M could have written for the school newspaper.
Answer:
The inequality: 
The solution: 
Step-by-step explanation:
Given
From the question, we have the following parameters:
Required
Determine the inequality to solve for M
Substitute the values for H and G in the inequality:
Multiply through by 4
Divide both sides by 11
The easiest way to find the vertex is to convert this standard form equation into vertex form, which is y = a(x - h)^2 + k.
Firstly, put x^2 - 10x into parentheses: y = (x^2 - 10x) + 30
Next, we want to make what's inside the parentheses a perfect square. To do that, we need to divide the x coefficient by 2 and square it. In this case, the result is 25. Add 25 inside the parentheses and subtract 25 outside of the parentheses: y = (x^2 - 10x + 25) + 30 - 25
Next, factor what's inside the parentheses and combine like terms outside of the parentheses, and your vertex form is: y = (x - 5)^2 + 5.
Now going back to the formula of the vertex form, y = a(x - h)^2 + k, the vertex is (h,k). Using our vertex equation, we can see that the vertex is (5,5).
