Simplify 3^2 ⋅ 3^5 3^7 3^10 9^7 9^10
2 answers:
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Answer:
It takes 4.75 hours to travel 247 miles.
Step-by-step explanation:
This question is solved by proportions, using a rule of three.
A car travels at an average speed of 52 miles per hour.
This means that in 1 hour, the car travels 52 miles. How many hours for it to travel 247 miles?
1 h - 52 m
x h - 247 m
Applying cross multiplication
It takes 4.75 hours to travel 247 miles.
Using the given information we found that the equation of the parabola is:
y = (-4/9)*(x - 3)^2 + 5
And its graph is below.
<h3>How to get the equation of the parabola?</h3>
For a parabola with vertex (h, k), the equation is:
y = a*(x - h)^2 + k
Here the vertex is (3, 5), so the equation is:
y = a*(x - 3)^2 + 5
And the y-intercept is y = 1, this means that:
1 = a*(0 - 3)^2 + 5
1 = a*9 + 5
1 - 5 = a*9
-4/9 = a
So the parabola is:
y = (-4/9)*(x - 3)^2 + 5
And its graph is below.
If you want to learn more about parabolas, you can read:
