Answer:
Patricia will run 132 kilometers with 11 liters of gas.
Step-by-step explanation:
The given table is representing the distance driven by Patricia for every liter of gas she puts in her car.
With 3 liters of gas she drives 36 kilometers.
This means in one liter of gas distance covered by the car =
kilometers.
Similarly if the car runs 48 kilometers in 4 liters of gas then per liter distance covered by the gas will be =
kilometers
Now with 11 liters of gas distance covered by the car will be = 11×12
= 132 kilometers
Therefore, with 11 liters of gas Patricia can run 132 kilometers.
f(x)=x^2+12x+26
Vertex form of f(x) = a(x-h)^2 +k
We change f(x) into vertex form using completing the square method

We take half of square of middle term
middle term is 12
Half of square of 12 is
then 6^2 = 36
Add and subtract 36 to complete the square


The vertex form 
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The end of the ray stops the x values from proceeding left at x=0. So your domain is from that point on to infinity. In your solution set x >= 0, since the arrow continues on the right side where x's are positive.
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