The correct statement regarding the local minimum of the function is:
Over the interval [4, 7], the local minimum is -7.
<h3>What is the missing information?</h3>
The graph of the function is missing, and is given at the end of the answer.
<h3>What is a local minimum in a function f(x)?</h3>
A local minimum in a function f(x) is a value of x at which the function changes from decreasing to increasing. The minimum is the value of y at this point.
The graph of the function shows that:
- The function is increasing until x = 0, when y = 26.
- Then, the function decreases until x = 5.1, when y = -7.
- For x > 5.1, the function increases to infinity.
From the description of the graph, the function changes from decreasing to increasing at point (5.1, -7), hence this point is a local minimum and the correct statement is given by:
Over the interval [4, 7], the local minimum is -7.
More can be learned about local minimums at brainly.com/question/2437551
#SPJ1
Answer:
x = 5/2, y = -1
x*y = 5/2*-1 = -5/2
Step-by-step explanation:
First we solve the system
2x-5y = 10
x = 5 + 5y/2
4x + 3y = 7
4(5 + 5y/2) + 3y = 7
20 +10y + 3y = 7
-13 = 13y
y = -1
Now go back to the other equation
2x - 5y = 10
2x - 5(-1) = 10
2x + 5 = 10
2x = 5
x = 5/2
Now we multiply x and y together
Answer:
31
Step-by-step explanation: