Six students are working to simplify the expression shown. Drag each student's answer to a box to show whether it is fully simpl
ified, equivalent to the given expression but not fully simplified, or not equivalent to the given expression.
2 answers:
Answer:
Here, the given expression,
Thus, by the above explanation,
Equivalent and simplified fully = - 16x + 14y -1
Equivalent but not simplified fully = 1) 9 - 16x + 14y-10
2) 2x - 18x + 14y-1
Not equivalent = 1) 2x - 18x + 14 y - 19
2) - 2xy - 1
3) 16x + 14y - 1
The arrows show the appropriate destination for your dragging.
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Combining like terms in the given expression makes it simplify to ...
(2x -18x) +(14y) +(9 -10) = -16x +14y -1
We are to compare this expression with the offered expressions to see if they simplify to the same thing. We'll examine those left-to-right starting with the top row:
- 2x -18x +14y -19 = -16x +14y -19 . . . not the same
- -2xy -1 . . . not the same
- 16x +14y -1 . . . not the same
- 9 -16x +14y -10 = -16x +14y -1 . . . equivalent
- -16x +14y -1 . . . equivalent and simplified
- 2x -18x +14y -1 = -16x +14y -1 . . . equivalent
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<h2>Answer:</h2>
A. It is a many-to-one function.
<h2>Step-by-step explanation:</h2>Hello! It will be a pleasure to help to figure out what's the correct answer to this problem. First of all, we have the following function:
When plotting this function, we get the red graph of the function shown below. So let's solve this as follows:
<h3>A. It is a many-to-one function.</h3>True
A function is said to be many-to-one there are values of the dependent variable (y-values) that corresponds to more than one value of the independent variable (x-values). To test this, we need to use the Horizontal Line Test. So let's take the horizontal line , and you can see from the first figure below that
is mapped onto
. so this is a many-to-one function.
Since this is a many-to-one function, it can't be a one-to-one function.
<h3>C. It is not a function.</h3>False
Indeed, this is a function
<h3>D. It fails the vertical line test.</h3>False
It passes the vertical line test because any vertical line can intersect the graph of the function at most once. An example of this is shown in the second figure below.
