The family wants to determine if they can drive to the national park using Just one tank of gas in their car. Determine whether
1 answer:
Answer:
The Fullers can reach the national park
Step-by-step explanation:
<u><em>The complete question is</em></u>
The Fuller family wants to drive to a national park. Some information about their trip is given in the table below.
Distance to national park 515 miles
Car’s gas tank capacity 20 gallons
Average gas mileage for car 26 miles per gallon
The family wants to determine if they can drive to the national park using just one tank of gas in their car. Determine whether the Fullers can reach the national park. Show your work or explain your answer.
we know that
The Average gas mileage for the car is 26 miles per gallon
That means
With 1 gallon the car runs 26 miles
so
using a proportion
Find out how many miles the car runs with 20 gallons (one tank of gas)
Compare with the distance to the national park
therefore
The Fullers can reach the national park
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Answer:
(5, 6) is (h, k)
Step-by-step explanation:
Vertex form is an instance of the transformation of parent function f(x) = x². It is vertically scaled by a factor of 'a', and translated so the vertex is point (h, k). That is, the transformed vertex is h units right and k units up from that of the parent function (0, 0).
Parent:
f(x) = x^2
Transformed:
f(x) = a(x -h)^2 +k
__
When you compare the form to your specific instance, you need to pay attention to what it is that you're comparing. As the attachment shows, ...
- a = 2
- -h = -5 ⇒ h = 5
- k = 6
Hence the vertex is (h, k) = (5, 6). The second attachment shows this on a graph.
