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Arte-miy333 [17]
3 years ago
6

Question 12

Mathematics
1 answer:
soldi70 [24.7K]3 years ago
6 0

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

The tank for a car holds 17 gallons. The gasoline gauge shows the tank is 3/4 full. How much gas is still in the tank?

Give your answer as a whole number or as a mixed fraction reduced to lowest terms.

Answer:

Gas \: \:left = 12 \frac{3}{4} \: \:gallons \\\\

Step-by-step explanation:

The tank for a car holds 17 gallons.

The gasoline gauge of the car shows that the tank is 3/4 full.

We are asked to find the remaining gasoline in the tank.

Gas \: \:left = \frac{3}{4} \times 17 \\\\Gas \: \:left = \frac{51}{4}  \\\\Gas \: \:left = 12 \frac{3}{4}  \: \:gallons \\\\

Therefore, the remaining gas in the tank is 12\frac{3}{4} gallons.

Alternatively:

1 - \frac{3}{4}  = \frac{1}{4}

Amount of gasoline consumed = \frac{1}{4} \times 17 =  \frac{17}{4}

Amount of gasoline left = total - consumed

Amount of gasoline left = 17 - \frac{17}{4} = 12\frac{3}{4} \:\: gallons

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daser333 [38]
<h2>Hello</h2>

The answers are:

a) The name of the function is g, and it's an Exponential Function.

b) Independent variable : x , dependent variable : g(x)/y

c) The rule that assigns exactly one output to the very input is called "function".

d) g(4)=2^{4}+12=16+12=28

<h2>Why?</h2>

Usually, the name of a function (g(x)) is given by letter that is out of the parentheses. For this exercise,  the name of the function is "g", and it's an Exponential Function.

The independent variable of a function is the variable we assign the different values. For this exercise, the independent variable is designated with the letter "x".

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A function is the rule that states that there is exactly one output (range value) to the each input (domain value).  A function only exists when there is exactly one output value (range) for each input (domain), if there is more than one output for each input, the function does not exist.

To evaluate a function we need to assign values to the independent variable(x), therefore:

g(4)=2^{4}+12=16+12=28

Have a nice day!

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dsp73

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