Robert was able to travel 292 miles in 4 hours and uses 38 l of gasoline. if gas costs $2.09 per gallon, how much did the trip c
2 answers:
Answer:
Robert´s trip cost $20.98.
Step-by-step explanation:
Robert use 38 liters of gas to make his 292 miles trip. The gallon of gas cost is $2.09. First we have to convert the 38 liters of gas to gallons.
Having convert the units, we can calculate how much cost the gas, this is:
Robert´s trip cost $20.98.
The distance and time data is used to confuse.
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Answer:
True. See the explanation and proof below.
Step-by-step explanation:
For this case we need to remeber the definition of linear transformation.
Let A and B be vector spaces with same scalars. A map defined as T: A >B is called a linear transformation from A to B if satisfy these two conditions:
1) T(x+y) = T(x) + T(y)
2) T(cv) = cT(v)
For all vectors and for all scalars
. And A is called the domain and B the codomain of T.
Proof
For this case the tranformation proposed is t:
Where
For this case we have the following assumption:
1) The transpose of an nxm matrix is an nxm matrix
And the following conditions:
2)
And we can express like this
3) If and
then we have this:
And since we have all the conditions satisfied, we can conclude that T is a linear transformation on this case.