(a) The optimal set for the objective function fo(x1, x2) = x1 + x2 is the boundary of the feasible set (b) The optimal set for the objective function fo(x1, x2) = -z1 is the point (x1, x2) where z1 is maximized (c) The optimal set for the objective function fo(x1, x2) = x2 - x1 is the line x2 = x1 (d) The optimal set for the objective function fo(x1, x2) = max(z1, x2) depends on the specific values of z1 and x2.
(a) The objective function fo(x1, x2) = x1 + x2 represents a linear function that increases as both x1 and x2 increase. The optimal set for this objective function is the boundary of the feasible set, which includes the points where the constraints are binding. The optimal value is the minimum value of the objective function on the boundary.
(b) The objective function fo(x1, x2) = -z1 represents a function that is maximized when z1 is minimized. The optimal set for this objective function is the point (x1, x2) where z1 is maximized. The optimal value is the maximum value of z1.
(c) The objective function fo(x1, x2) = x2 - x1 represents a linear function with a slope of 1. The optimal set for this objective function is the line x2 = x1, which represents all points where the difference between x2 and x1 is minimized. The optimal value is the minimum value on that line.
(d) The objective function fo(x1, x2) = max(z1, x2) takes the maximum value between z1 and x2. The optimal set for this objective function depends on the specific values of z1 and x2. The optimal value is the maximum of z1 and x2, whichever is larger.
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Write the vertex form of the quadratic equation.
y=x – 6x + 5
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Answer:
y= (x-3)^2 -4
Step-by-step explanation:
Draw the image of the following segment after a dilation centered at the origin with a scale factor of 2/3
Answer:
When we have a point (a, b) and we have a dilation of scale factor K centered at the origin, the new coordinates of this point will be:
(K*a, K*b)
In this case, we can find the original coordinates of the endpoints of the original segment.
Then apply the dilation to these points, and then draw a new segment whose endpoints are the dilated points.
The endpoints of the original segment are (i can not see the image very well, so i may be wrong when noticing the points).
The first endpoint is (6, 9) and (12, 12)
Now we apply a dilation with a scale factor K = 2/3.
then we get the points:
((2/3)*6, (2/3)*9) = (4, 6)
and the other point is:
((2/3)*12, (2/3)*12) = (8, 8)
Now we need to draw a segment whose endpoints are (4, 6) and (8, 8)
The segment can be seen in the graph below.
Complete the statement. Round to the nearest hundredth if necessary.
9.2 in. ≈
cm
9514 1404 393
Answer:
23.37 cm
Step-by-step explanation:
1 inch is 2.54 cm, so 9.2 inches is ...
(9.2)(2.54 cm) = 23.368 cm ≈ 23.37 cm
1/2x + 7 = x + 13 solution
Answer:
-3
Step-by-step explanation:
Christie has $3.80 in quarters and dimes. She has three more dimes than quarters. How many of each coin does she have?
Answer:
Quarters = 10
Dimes = 13
Step-by-step explanation:
Given that :
Quarters = $0.25
Dimes = $0.10
Total value =. $3.80
Let :
Quarters = a
Dimes = a + 3 (3 more dimes Than quarters)
0.25a + 0.10(a + 3) = 3.80
0.25a + 0.10a + 0.3 = 3.80
0.35a = 3.80 - 0.3
0.35a = 3.5
a = 3.5 / 0.35
a = 10
Quarters = a = 10
Dimes = a + 3 = 10 + 3 = 13
7/10 - ___ + 3/2 = 6/5 ??????
Help me please
Answer:
1
Step-by-step explanation:
make all fraction have the same denominator:
7/10 - x + 15/10 = 12/10
isolate x: 12/10 - 7/10 - 15/10 ---> -x = -10/10
divide by 1 x = 10/10 or 1
x = 1
Answer:
1
Step-by-step explanation:
Let the no. be x
7/10-x+3/2=6/5
-x=6/5-3/2-7/10
-x=-10/10
-x=-1
x=1
Hope it helps
Please help me find the values of z and x!
Answer:
The answer would be 299
Step-by-step explanation: Just plug in 74 into x
The value of C has to be Greater than 0.65
Answer:
1.3
Step-by-step explanation:
1. .65 = .5c ---> .65/.5
2. 1.3 = c
Write the equation of the line in slope-intercept form given:
m = 3/7 through (-7, 7)
Answer:
y=3/7x+10
Step-by-step explanation:
y-y1=m(x-x1)
y-7=3/7(x-(-7))
y-7=3/7(x+7)
y=3/7x+21/7+7
y=3/7x+3+7
y=3/7x+10
HELP ASAP WILL GIVE BRAINLEST TO CORRECT ANSWER
What is the circumference of a circle with a diameter of 3 feet? Use 3.14 for pi
diameter = 3 ft
A. 4.71 ft
B. 9.42 ft
C. 18.84 ft
D. 7.07 ft
Circumference = Pi x diameter
Circumference = 3.14 x 3 feet
Circumference = 9.42 feet.
The answer is B. 9.42 feet
452% as a decimal and as a fraction in simplest form
Answer:
decimal form: 4.52
fraction: 4 13/25
Step-by-step explanation:
Answer:
Decimal 4.52
Fraction 4 13/25
Write an equation of a line perpendicular to x = -7 and passes through the
point (4,9).
Answer:
y = 9
Step-by-step explanation:
The line x = -7 is a vertical line, so the perpendicular line will be horizontal.
Horizontal lines have a slope of 0.
Using this slope and the point given, plug them into y = mx + b to solve for b and create the equation
y = mx + b
9 = 0(4) + b
9 = b
Plug this and the slope into the equation:
y = mx + b
y = 0x + b
y = 9
So, y = 9 is the equation
Which expression is equivalent to 9u+5u?
14, I think its 14. let me know if I'm right
Trap spacing measurements (in meters) for a sample of seven teams of red spiny lobster fishermen are provided. Let represent the average of the trap spacing measurements for the population of red spiny lobster fishermen fishing in a particular region. The mean and standard deviation of the sample measurements were previously computed to be x=89.4, and s=11.4 meters respectively. Suppose the fishermen want to determine if the true value of differs from 95 meters
joão has 7 apples if he gives joana 3 and matilde 4 how many did he have?
which number is greater tha 9/4
Answer:
9
Step-by-step explanation:
the biggest number gets eaten by the alligator
Please help ASAP! giving 100 points Use a decimal number to describe the shaded amount.
0.2
0.5
0.05
0.15
Answer:
B. 0.5
Step-by-step explanation:
There are 10 circles in total. 5 are shaded in.
We would make that a fraction.
5/10
Then we would convert it to a percent
50%
Then we will convert it to a decimal
0.5
Therefore, your answer would be B. 0.5
Find the value of x and the measure of the angle labeled 3x.
A. x= 14; angle measure is 30°
B. x = 10; angle measure is 42".
C. x = 14; angle measure is 42"
D. x = 10; angle measure is 30°
Answer:
X=10
Step-by-step explanation:
3x=30
3(10)=30
30=30
30+42=72
I hope this helps!
Answer:
D. x=10; angle measure is 30°
Step-by-step explanation:
hope this helps
Why does the sin 0 = cos (90 - 0)?
Answer:
It is a nonexistent circumstance where one point of a correct triangle gets zero. Attempt to think. At the point when the point becomes zero, at that point the base gets 0, and the opposite and the hypotenuse turns into a similar line. Since in cos 90, base is 0, in this manner consequently cos 90 is zero.
(Hope this helps! Btw, I am the first to answer. Brainliest pls!)
which of the expressions bellow is equal to -3x - 39
Answer:
117
(-3) × (-39) = 117
Step-by-step explanation:
hope it helps!
What is the sum? Question 1 of 60
Answer:
A
Step-by-step explanation:
2+3=5 and if you add 1 to 7 you get 8 and that would make a whole and whole is 1 so you add 1 to 5
Answer:
2 1/8 + 3 7/8 = 6
A. 6
Step-by-step explanation:
2 + 3 = 5
1/8 + 7/8 = 8/8
8/8 = 1 whole
5 + 1 = 6
HOPE THIS HELPS!!!!!
what is the measurement of angle x
the angle on the right measures 54 degrees and the left measures 38 degrees
Answer:
16
Step-by-step explanation:
180 is a straight line.
x is among that line so you must subtract the angles you know from 180.
180-54-38= 16
What is the height of the cone below?
V = 90 cm
B = 18 cm?
5 cm
06 cm
O 15 cm
O 30 cm
Answer:
5cm
Step-by-step explanation:
V = (B*H)
90 = (18 * H)
H = 90 / 18
Solve for a
Pythagorean theorem
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
[tex] {c}^{2} - {b}^{2} = {a}^{2} [/tex]
[tex] {8}^{2} - {6}^{2} = {28}^{2} [/tex]
[tex] \sqrt{28} [/tex]
Answer:
[tex]\boxed{\sf{a=\sqrt{28} }}[/tex]
Step-by-step explanation:Pythagorean theorems can be applied to solve this problem.
Pythagorean theorem:
[tex]\rightarrow \sf{a^2+b^2=c^2}[/tex]
⇒ c²-b²=a²
8²-6²=28²
Solve.
PEMDAS stands for:
ParenthesisExponentsMultiplyDivideAddSubtract[tex]\sf{8^2-6^2}[/tex]
Solve by exponents from left to right numbers.
[tex]\sf{8^2=8*8=64}[/tex]
[tex]\sf{6^2=36}[/tex]
Then, subtract.
[tex]\sf{64-36=\boxed{\sf{28}}[/tex]
a=√28
Therefore, the correct answer is a=√28.
I hope this helps you! Let me know if my answer is wrong or not.
Calculate the slope of the line on the graph using the formula: m=y2-y1/x2-x1
The slope of the line is __ m/s
Answer:
4 m/s
Step-by-step explanation:
find the value of X
Answer:
x = 50.6 cm
Step-by-step explanation:
ΔMAB ≈ ΔNMP
set up a proportion: MA / MN = MB / MP
MA = 46.2 - 14
MA = 32.2
32.2 / 46.2 = x / 72.6
cross-multiply:
46.2x = 2337.72
x = 50.6
anyone knows this?!!?
Answer:
is that just 1/2 lol i think but if u want add me on disc Andreww#6506
Step-by-step explanation:
One of the angles of a parallelogram is 36 degree greater than another one. Find the angles of the parallelogram
Answer:
72, 72, 108, 108
Step-by-step explanation:
x, x, x+36, x+36 =360
4x=288
x=72
so, x=72, x=72, x=108, x=108
Answer:
72*, 72*, 108*, 108*
What is X?
in decimal form plz
Simplify: 2m – 6 ≤ 18.
Group of answer choices
m ≥ 6
m ≤ 12
m ≤ 6
m ≥ 12
Answer:
D. m≥12
Step-by-step explanation:
You first need to transfer the -6 over to the 18. The negative turns into a positive, therefore you add. 18+6 is 24. You now have 2m≤24. Bring the 2 over. You are dividing. 24/2 is 12.
Answer:
The answer is D.
Step-by-step explanation:
~Hoped this helped~