First, find the vertices of the shaded region. You can do this my graphing or by solving a system of equations for each pair of functions. <em>I am going to find them by graphing.</em>
x ≥ 0 and y ≥ 0 place the shaded region in the first quadrant with a vertex at (0, 0)
now graph y ≤ 3. a vertex is at (0, 3)
now graph y < -2x + 5. a vertex is at (1, 3). the other vertex is the x-intercept (when y = 0).
0 = -2x + 5
-5 = -2x
So, the vertex is 
Next, input the coordinates of the vertices into the objective function.
C = -6x + 5y
(0, 0): C = -6(0) + 5(0)
= 0 + 0
= 0
(0, 3): C = -6(0) + 5(3)
= 0 + 15
= 15
(1, 3): C = -6(1) + 5(3)
= -6 + 15
= 9
: C = -6(\frac{5}{2}[/tex]) + 5(2)
= -15 + 10
= -5
The maximum is C = 15 which occurs at vertex (0, 3)
Answer: A
Answer:
18
Step-by-step explanation:
Answer:
Option a. No; the domain values are at regular intervals and the range values have a common sum 1.
Step-by-step explanation:
x1=3, x2=1, x3=-1, x4=-3
y1=1, y2=2, y3=3, y4=4
x1-x2=3-1→x1-x2=2
y2-y1=2-1→y2-y1=1
x2-x3=1-(-1)=1+1→x2-x3=2
y3-y2=3-2→y3-y2=1
x3-x4=-1-(-3)=-1+3→x3-x4=2
y4-y3=4-3→y4-y3=1
The data doesn't show an exponential function, because the domain values are at regular intervals and the range values have a common sum 1.
The number of students which are either in algebra or physics are 23 which is the second option.
Given that:-
Total number of students = 30
Number of students both in physics and algebra = 4
Total number of students in Physics = 12
Total number of students in Algebra = 19
We have to find the number of students which are either in algebra or physics.
Number of students in physics but not in algebra = 12 - 4 = 8
Number of students in algebra but not in physics = 19 - 4 = 15
We know that:-
Number of students which are either in algebra or physics = Number of students in physics but not in algebra + Number of students in algebra but not in physics
Hence, we can write,
Number of students which are either in algebra or physics = 8 +15 = 23.
We can also do this question using Venn diagram.
To learn more about Venn diagram, here:-
brainly.com/question/1605100
#SPJ1
Answer:
x=3
Step-by-step explanation:
-3x-5y=6
-5 times -3 = 15
-3x+15=6
+3x on both sides
15=6+3x
-6 on both sides
9=3x
divide by 3 on both sides
x=3
