(-2)2+3 × (-5) please helpe me answer this question
2 answers:
You might be interested in
Answer:
maximum value of P is 33
Step-by-step explanation:
Sketch the lines represented by the constraints
5x + y = 16
with intercepts (, 0) and (0, 16)
2x + 3y = 22
with intercepts (11, 0) and (0, )
The solutions to both are below the lines.
Solve 5x + y = 16 and 2x + 3y = 22 simultaneously to find the point of intersection at (2, 6)
The coordinates of the vertices of the feasible region are
(0, 0), (0, 16), (2, 6), 11, 0)
Evaluate the objective function at each vertex
P = 3(0) + 2(0) = 0 + 0 = 0
P = 3(0) + 2(16) = 0 + 32 = 32
P = 3(2) + 2(6) = 6 + 12 = 18
P = 3(11) + 2(0) = 33 + 0 = 33
The maximum value of P is 33 when x = 11 and y = 0
The domain and range of the function are:
<h3>How to determine the domain of the function?</h3>In this exercise, you're given the following function f(x) = 5ˣ ⁻ ³ + 1. Next, we would equate the function to zero (0) to determine its domain as follows:
0 = 5ˣ ⁻ ³ + 1.
-1 = 5ˣ ⁻ ³
-(5⁰) = 5ˣ ⁻ ³
-0 = x - 3
x = 3.
Therefore, the domain are all real numbers and they can be substituted for x to return a valid f(x) value.
From the graph of the given function (5ˣ ⁻ ³ + 1), we can logically deduce that the range comprises all real numbers that are greater than 1.
Read more on domain here: brainly.com/question/17003159
#SPJ1
