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3 years ago

The graph shows the cost of gasoline at a gas station. Find the cost in dollars per gallon

Mathematics

1 answer:

lbvjy [14]3 years ago

4 0

Answer:

7/2 or 3.5

Step-by-step explanation:

The y-axis represents the cost is dollars. The x-axis is the amount of gasoline in gallons. To find the cost in dollars per gallon, choose a point on the graph, and divide the dollars (y-coordinate) by the gallons (x-coordinate).

cost = (21/4) / (3/2)

cost = 21/4 * 2/3

cost = 42/12

cost = 7/2 = 3.5

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I guess I'm lacking in differential equations. I couldn't solve this question. Can you help me?

Sonja [21]

Answer:

See Explanation.

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Reciprocals

Algebra II

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Calculus

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Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Chain Rule: $\frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)$

Derivative of Ln: $\frac{d}{dx} [ln(u)] = \frac{u'}{u}$

Step-by-step explanation:

Step 1: Define

$ln(\frac{2x-1}{x-1} )=t$

Step 2: Differentiate

Rewrite: $t = ln(\frac{2x-1}{x-1})$
Rewrite [Ln Properties]: $t = ln(2x-1) - ln(x - 1)$
Differentiate [Ln/Chain Rule/Basic Power Rule]: $\frac{dt}{dx} = \frac{1}{2x-1} \cdot 2 - \frac{1}{x-1} \cdot 1$
Simplify: $\frac{dt}{dx} = \frac{2}{2x-1} - \frac{1}{x-1}$
Rewrite: $\frac{dt}{dx} = \frac{2(x-1)}{(2x-1)(x-1)} - \frac{2x-1}{(2x-1)(x-1)}$
Combine: $\frac{dt}{dx} = \frac{-1}{(2x-1)(x-1)}$
Reciprocate: $\frac{dx}{dt} = -(2x-1)(x-1)$
Distribute: $\frac{dx}{dt} = (1-2x)(x-1)$

8 0

3 years ago

Read 2 more answers

The frequency table categorizes winners of a prestigious award from.1990-2012 by their age at the time they received the award.

Ivan

Answer:

is there an image of the frequency table attached? whats the question

Step-by-step explanation:

3 0

3 years ago

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Riley finished her 5k race in One-half hour. Darby finished the same race in Three-fifths hour. Which statement explains which g

Andrej [43]

Answer:

Riley did better than Darby because One-half < Three-fifths.

Step-by-step explanation:

The statement that explains which girl did better would be that

Riley did better than Darby because One-half < Three-fifths.

There are a total of 60 minutes in an hour, If we multiply each of these fractions by 60 minutes it would give us the exact number of minutes that each girl took to finish the race.

Riley: $\frac{1}{2}$ * 60 = 30 minutes