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The function that has the same graph as x + y = 11 is f(x) = -x + 11
<h3>Graph of functions</h3>From the question, we are to determine the function that has the same graph as the given equation
The given equation is
x + y = 11
In the above equation, y is the dependent variable.
and
Among the given equation, f(x) is the dependent variable
Thus, we can write that
x + f(x) = 11
Isolate f(x)
f(x) = -x + 11
Hence, the function that has the same graph as x + y = 11 is f(x) = -x + 11
Learn more on Graph of functions here: brainly.com/question/20388062
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Answer:
<u>Given function:</u>
- f(x) = (-x + 2)(x + 1)(x +2)
<u>We can rewrite it as:</u>
- f(x) = - (x - 2)(x + 1)(x +2)
<u>Zeros are:</u>
- - (x - 2)(x + 1)(x +2) = 0
- x - 2 = 0 ⇒ x = 2
- x + 1 = 0 ⇒ x = -1
- x + 2 = 0 ⇒ x = -2
As leading coefficient is negative the function is decreasing.
As the function is of degree 3, it is odd.
<u>Considering the above two factors we can define the shape of the graph:</u>
- It is decreasing function with one local minimum and one local maximum.
<em>See the graph and zero's reflected.</em>
Answer:
28 centimeters.
Step-by-step explanation:
Let w be width of desk.
We have been given that the bases of the trapezoid are 26.5 and 30 centimeters long. The area of the desk is 791 square centimeters long.
Since the area of trapezoid is half the sum of parallel sides times its height.
, where
h= Height of trapezoid,
a and b= Length of parallel sides of trapezoid.
We have been given that the height of the trapezoid is the width of the desk.
Upon substituting our given vales in above formula we will get,
Therefore, the width of trapezoid is 28 centimeters.