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Oksana_A [137]
3 years ago
5

One gallon of gasoline in Buffalo, New York costs $2.29. In Toronto, Canada, one liter of gasoline costs $0.91. How much does on

e gallon of gas cost In Toronto? Round your answer to the nearest cent. (Hint: There ate 3.8 liters In one gallon.)
Mathematics
1 answer:
12345 [234]3 years ago
5 0

Answer:

The answer to your question is $3.46

Step-by-step explanation:

Data

1 liter = $0.91

Process

1.- Use rule of thee and cross multiplication to find the answer

                         1 liter -------------------- $0.91

                        3.8 liters --------------- x

                         x = (3.8 liters x 0.91) / 1 liter

                         x = $ 3.46

1 gallon of gasoline cost $3.46 in Toronto

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Which equation represents a line that passes through (-2, 4) and has a slope of 1/2?
jok3333 [9.3K]

Answer:

\large\boxed{y-4=\dfrac{1}{2}(x+2)\text{- point-slope form}}\\\boxed{y=\dfrac{1}{2}x+5\text{- slope-intercept form}}

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

m - slope

We have the slope m=\dfrac{1}{2} and the point (-2, 4).

Substitute:

y-4=\dfrac{1}{2}(x-(-2))

y-4=\dfrac{1}{2}(x+2) - point-slope form

Convert to the slope-intercept form (y = mx + b):

y-4=\dfrac{1}{2}(x+2)      <em>   use the distributive property</em>

y-4=\dfrac{1}{2}x+1         <em>add 4 to both sides</em>

y=\dfrac{1}{2}x+5 - slope-intercept form

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2 years ago
In Exercise, describe how the graph of g is related to the graph of f.<br> g(x)=-1+f(x)
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Answer:

The graph of g is the graph of f shifted down 1 unit.

Step-by-step explanation:

Suppose you have a function y = f(x), you can do these following operations on the function:

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Shift down a units: y = f(x) - a

Shift left a units: y = f(x + a)

Shift right a units: y = f(x - a)

In this problem, we have that:

g(x) = -1 + f(x) = f(x) - 1

So the graph of g is the graph of f shifted down 1 unit.

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