Answer:
Below.
Step-by-step explanation:
This is a parabola.
As the coefficient of x^2 is positive it will open upwards ( shaped like a 'U').
If we convert to vertex form we can find the line of symmetry and the coordinates of the vertex:
f(x) = 3x^2 - 2x + 1
f(x) = 3(x^2 - 2/3 x) + 1
f(x) = 3[(x - 1/3)^2 - (1/3)^2] + 1
f(x) = 3(x - 1/3)^2 - 1/3 + 1
f(x) = 3(x - 1/3)^2 + 2/3
So the line of symmetry is x = 1/3 and
the vertex ( the minimum of the curve) is at (1/3, 2/3).
Answer:
1
Step-by-step explanation:
listing the factors of both numbers
factors of 10 are 1, 2, ,5, 10
factors of 3 are 1, 3
the only common factor to both is 1
the greatest common factor is 1
the answer is 0=0 because there is infinite solutions
Answer:
The ant
Step-by-step explanation:
We know that the meters traveled is going to be more than the amount of minutes because it is 1.5:1 so that narrows it down to the turtle and the ant.
Now we can just take 150% of each and see if they match up.
150% of 5 is 7.5 so therefore it is not the Turtle which means it must be the ant.
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Answer: 
Step-by-step explanation:
By definition, Direct proportion equations have the following form:
Where "k" is the constant of proportionality.
In this case you know that the distance (in meters) that an ant can travel varies directly with the amount of time (in hours) the ant spends walking.
With this information you can write the following equation:
According to the exercise, the constant of proportionality is:
Therefore, substituting the value of the constant of proportionality into the equation, you get that the equation that represents the proportional relationship between "d" and "t" is:
