Answer:
Step-by-step explanation:
Given that
-3a+6b=a+4b
We want to make b subject of formula
First to remove the 4b in the Right hand side of the equation
Subtract 4b from both side of the equation
-3a+6b-4b=a+4b-4b
Then we have,
-3a+2b=a
Now to remove the -3a from the left hand side of the equation add 3a to both side
Then,
-3a+2b+3a=a+3a
2b-3a+3a=4a
Then, 2b=4a
Divide both side by 2
2b/2=4a/2
b=2a.
The fraction is 4 1/2. Just convert the decimal into a fraction. 50/100 is the same as 5/10 which is the same as 1/2.
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Answer:
y = -(x -3)^2 +2
Step-by-step explanation:
The vertex form of the equation for a parabola is ...
y = a(x -h)^2 +k
where the vertex is (h, k) and the value 'a' is a vertical scale factor.
The value of 'a' can be found by looking at the y-value of points ±1 either side of the vertex relative to the vertex. Here, the vertex y-value is +2 at x=3, and either side goes down 1 unit (to y=1) for 1 unit to the right or left. So, a = -1.
Using the values we've read from the graph for the vertex (h, k) = (3, 2) and the scale factor a = -1, we can write the equation as ...
y = -(x -3)^2 +2