Answer:
ef + eg
Step-by-step explanation:
Distributive Property: a(b +c) = (a*b) + (a*c)
e(f +g) = e*f + e*g
= ef + eg
What is asked here is that you isolate y so that the equation takes the form of y = ..., where ... will be something that contains a, b and c but not y. So how do we get there? By applying some standard permutations to equations like so:
aby - b = c
First, we bring the -b term to the right hand side by adding b left and right:
aby -b+b = c+b
The -b and +b cancel out, so we get:
aby = c + b
Then, we divide left and right hand side by ab:
aby/ab = (c+b)/ab
Again, the ab/ab on the left cancels out (it is 1), so we get:
y = (c+b)/ab
And we're done!
So you have to know that it is allowed to add or subtract something (anything) to/from the left and right hand side of an equation. Likewise, you have to know that it is allowed to multiply or divide by something, as long as it isn't 0.
7.5minutes/1miles
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The interval over which the given quadratic equation decreases is: x ∈ (5, ∞).
<h3>How to find the interval of quadratic functions?</h3>
Usually a quadratic graph function decreases either when moving from left to right or moving downwards.
In the given graph, we can see that the coordinate of the vertex is (5, 4) after which the curve goes in the downward direction.
Thus, for the values of x greater than 5, the function decreases and so we conclude that the interval in which the quadratic equation decreases is: (5, ∞).
Read more about Quadratic functions at: brainly.com/question/18030755
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Answer:
1) A system of two linear equations to represent this problem
x+y=20 and x-y=12
2) The numbers are x=16 and y=4
Step-by-step explanation:
Let x and y be the two numbers
Given that the sum of the two numbers is 20
That is 
and the difference is 12
That is 
1) A system of two linear equations to represent this problem
2). Noe Solve the system to find the 2 numbers:
Adding the equations (1) and (2) we get
_____________
2x=32
Therfore x=16
Now substitute x=16 in equation (1) we get
Therefore y=4
Therefore the numbers are x=16 and y=4
