What is the vertex of the absolute value function defined by ƒ(x) = |x - 7| + 1?
2 answers:
The absolute value function, known as the modulus function, is represented by a v-shaped graph, or a modulus graph. So the graph looks like a V.
Let the vertex point be S.
To find the coordinates of the vertex S, you follow those steps:
First, to find the x of the vertex, you takes what's between the absolute value and make it =0
x - 7 = 0
Add 7 in both sides to get the variable x alone on a side and its value on the other side:
x - 7 + 7 = 0 + 7
x = 7
So S(7;y)
Now to find y, we replace x by its value and do the calculus:
|x - 7| + 1 = |7 - 7| + 1 = 0 + 1 = 1
So S(7;1).
I've added a picture of the graph represented this equation under the answer.
Hope this Helps! :)
Let the vertex point be S.
To find the coordinates of the vertex S, you follow those steps:
First, to find the x of the vertex, you takes what's between the absolute value and make it =0
x - 7 = 0
Add 7 in both sides to get the variable x alone on a side and its value on the other side:
x - 7 + 7 = 0 + 7
x = 7
So S(7;y)
Now to find y, we replace x by its value and do the calculus:
|x - 7| + 1 = |7 - 7| + 1 = 0 + 1 = 1
So S(7;1).
I've added a picture of the graph represented this equation under the answer.
Hope this Helps! :)
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Part A:
Let the amount of mixture in the bottle be = x ; mixture will be amount of water plus milk
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Hence equation will be:
Part B:
Solving the equation
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Hence, total mixture is 1.25 liters.
Water is 1 liter so milk will be =
Or it can also be solved using milk percentage of 0.2%
Hence, milk is 0.25 liter