For this case, the first thing we must do is define a variable.
We have then:
x: number of weeks
y: amount of cereal that Melanie eats
We now write the function that models the problem:

Then, for 5 weeks we have:
Answer:
A model that best represents the number of pounds of cereal she eats is:
For 5 weeks we have:
Step-by-step explanation:
1. 1/4(x + 12)=2 - first isolate X'
- 12 -12
2. 1/4(x) = -10 - 1/4 since its a fraction, you'll have to subtract not divide
-1/4 - 1/4
3. x = -10.25
Andre did the first step correctly, but on the second step he just divided 1.4 by -10, instead of subtract 1/4 from both sides.
Answer:
x = -8/3
y = 5
Step-by-step explanation:
Finding the equation of the line:
y = 3x +c
Substituting (-2,5) into 'y=3x+c':
5 = -6 + c
c = 11
Hence,
y = 3x + 11
For finding x:
Substituting (x, 3) into 'y = 3x +11':
3 = 3x + 11
3x = -8
x = -8/3
For finding y:
Substituting (-2, y) into 'y = 3x + 11':
y = -6 + 11
y = 5
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We know that
g(x)=f(2x)
the transformation of f(x) to------------> f(2x)
means that point (a,b) in graph of f(x) becomes a point (a/2,b) in graph of f(2x)
therefore
point A (4,5)-----> becomes a point (4/2,5)-----> (2,5) in the graph of g(x)
the answer
the point is (2,5)