This table displays a scenario.
2 answers:
Answer:
All the options apply:
- The independent variable is the number of gallons.
- Liters is a function of Gallons.
- The equation <em></em> represents the table.
- As the number of gallons increases, the number of liters increases.
- This is a function because every input has exactly one output.
Step-by-step explanation:
Let's check each option:
- <em>The independent variable is the number of gallons.</em>
This is true, because by definition, the independent variable is the input value. In this case, it is the number of gallons "g".
-<em> Liters is a function of Gallons.</em>
This is true, because the value Liters depends upon the value of Gallons.
- <em>The equation represents the table.</em>
This is true, because each output value"l" is obtained by multiplying the corresponding input value "g" by 3.79
- <em>As the number of gallons increases, the number of liters increases. </em>
<em> This is true (as you can observe in the table)</em>
- <em>This is a function because every input has exactly one output.</em>
This is true. By definition, a relation is a function if and only if each inpute value has exactly one output value. Since each value "g" has an unique value "l" in the table, it is a function.
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Answer:
Step-by-step explanation:
This is a hard one
We have to use the rational root theorem
= 0
We have to find all the factors of a and d and put them in a fraction
We then plug them into the equation to see if any of them work
The equation isn't true when plugging 1, but is true when plugging in 1/2
factored form of 1/2 is (2x-1)
Then we divide the original equation by (2x-1) (you can use synthetic division or long division, it would be hard to type out the process for that) to get
So now the equation is
Solve the second half of this equation using the quadratic formula to get
and
We already know the solution for the first half of the equation (1/2)
So the final answers are: