Select the correct answer. Which function has the same graph as x + y = 11?
1 answer:
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
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Answer:
A, C, D and K
Step-by-step explanation:
Inequalities:
y ≤ −2x + 10 and y >1/2x-2
<u>Finding zeros for the first inequality:</u>
- x=0 ⇒ y= 10, point (0, 10)
- y=0 ⇒ x= 5, point (5, 0)
- Locating these 2 points and connecting to get the first line.
Space to the left of this line (as y≤ ) is the solution for this inequality, any points on this line are inclusive.
<u>Finding zeros for the second inequality:</u>
- x=0 ⇒ y= -2, point (0, -2)
- y= 0 ⇒ x= 4, point (4, 0)
- Locating these points and connecting to get the second line.
Space above this line (as y > sign) is the solution for this inequality, any points on this line are not inclusive.
Now we have the space of intersection of the above inequalities.
So the points in same section are the solution.
They are:
- Points A, C, D and K
See attached for explanation
