Answers
Answer:
So: C = 4x + 3y > 12,5 × 4 + 1,5 × 3 = 50 + 4,5 = 54,5
Conclusion: C > 54,5
9514 1404 393
Answer:
C = 6 is the minimum
Step-by-step explanation:
2-variable constraint problems are often easy to solve graphically. The overlap of each of the solution regions defines a "feasible region." The vertices of that region will be candidates for the (x, y) values that satisfy the objective function.
The three constraints define a feasible region with four vertices:
(0, 2)(0, 4)(5, 3)(3, 0)The most likely candidates for minimizing C are (0, 2) and (3, 0). The corresponding values of C are ...
(0, 2): C = 4·0 +3·2 = 6
(3, 0): C = 4·3 +3·0 = 12
The minimum value of C is 6 at (x, y) = (0, 2).
_____
Additional comment
The line representing the objective function will be closest to the origin when the objective function is minimized. Once we can see the slope of it on the graph, we can determine the feasible region boundary point that will place the line closest to the origin.
Related Questions
The total of 3 suitcases is 127 lb. The gray suitcase weighs 11 lb more than the pink suitcase. The pink suitcase weighs 5 lb than the blue suitcase. How much does the blue suitcase weigh?
Answers
If the gray suitcase weighs 11 lb more than the pink suitcase, the pink suitcase weighs 5 lb than the blue suitcase, and the total of 3 suitcases is 127 lb, then the blue suitcase weighs 35.3 lb
Let the gray suitcase be represented by g
Let the pink suitcase be represented by p
Let the blue suitcase be represented by b
The gray suitcase weighs 11 lb more than the pink suitcase
g = p + 11........(1)
The pink suitcase weighs 5 lb than the blue suitcase.
p = b + 5
b = p - 5...........(2)
Total of 3 suitcases = 127 lb
p + b + g = 127............(3)
Substitute equations (1) and (2) into equation (3)
p + p - 5 + p + 11 = 127
3p + 6 = 127
3p = 127 - 6
3p = 121
p = 121/3
p = 40.3 lb
Substitute p = 40.3 into equation (2)
b = p - 5
b = 40.3 - 5
b = 35.3
The blue suitcase weigh 35.3 lb
Learn more here: https://brainly.com/question/11865047
The equation of the line y=7 has:
Answers
Answer:
A
Step-by-step explanation:
The equation of the line y=7 has a y-intercept at (0,7).
Hope this helps!
~Just a joyful teen
[tex]GraceRosalia[/tex]
What numbers are less than 2.98
Answers
Answer:
... anything less than 2.98??
Step-by-step explanation:
THERE ARE 32 UNICORNS IN TOTAL.
THERE ARE 12 MORE UNICORNS WITH
GOLD HORNS THAN UNICORNS WITH
PURPLE HORNS
Answers
Answer:
20 purple unicorns
Step-by-step explanation:
find the product of 0.58 x 0.3
Answers
0.174
Hope it helps yah (◕ᴗ◕✿)
Which is greater? 2343⁰ or 5⁰
Answers
Answer:
2343.
have a nice day
Step-by-step explanation:
K(x)=-3x^2-3;find k(-2)
Answers
Answer:
5z
Step-by-step explanation:
because I leaned it at school
A car is traveling at a speed of 50 miles per hour what is the cars speed in kilometers per hour? How many kilometers will the car travel in 4 hours? In your computations, assume that 1 mike is equal to 1.6 kilometers. Do not round your answers
Answers
Answer:
48 kilometers per hour, 192 kilometers in four hours
Step-by-step explanation:
Sound travels about 340 m/s. The function d(t)=340t gives the distance d(t),in meters, that sound travels in t seconds. How far does sound travel in 38 seconds?
Answers
D(t)=340(38)
D(t)=12920meters
PLEASE HELP ITS MATH THANK YOUUUU
Answers
Answer:
The length is 6 feet
Step-by-step explanation:
=
Initial Knowledge Check
Solve for x.
- 10= -6+ 2x
Simplify your answer as much as possible.
x=
Answers
Answer:
-2
Step-by-step explanation:
-10 = -6 + 2x
-10+6=2x
-4÷2x
-2=x
The model to Zeno Park in the center of the city if their dimensions of the park in the model or nine inch by 17 inches what are the actual dimensions of the park
Answers
Answer:DAWDAWD A AWDAW
DRF FseFSKEF SEF DAWDHA DJAWD ,AHSJD IWDA WDADKWDA DAWD WAD
AW D
can
5. (a) Find the expansion of cos(x + y) and cos(x – y). Show that cos(x + y) cos(x - y)
be written as cos x - sin?
y.
(5 marks)
(b) Hence, from part (a) and without using the calculator, find the value of
cos(75°) cos (15°), where x and y are special angles.
(5 marks)
Answers
Answer:
The identity is: cos(x+y)cos(x-y) = cos^2(x) - sin^2(y). Answer to part (b) is 1/4
Step-by-step explanation:
cos(x+y) = cos(x) cos(y) - sin(x)sin(y)
cos(x-y) = cos(x)cos(y) + sin(x)sin(y)
For convenience, let A = cos(x) cos(y), and B = sin(x) sin(y).
Thus,
cos(x+y) = A - B
cos(x-y) = A + B, and
cos(x+y) cos(x-y) = (A-B)(A+B) = A^2 - B^2 = cos^2(x) cos^2(y) - sin^2(x)sin^2(y) = (1 - sin^2(x))(1 - sin^2(y)) - sin^2(x) sin^2(y) =
1 - sin^2(x) - sin^2(y) + sin^2(x) sin^2(y) - sin^2(x) sin^2(y) =
1 - sin^2(x) - sin^2(y) =
cos^2(x) - sin^2(y)
(b) Let x=45, and y=30, so we have that
cos(75)cos(15) = cos(45+30) cos(45-30) =
cos^2(45) - sin^2(30) =
(sqrt(2)/2)^2 - (1/2)^2 =
2/4 - 1/4 =
1/4
Solve each problem. Show all your steps. All work must be shown for full credit to be earned. Write your answers in simplest form. Watch your signs!
Answers
Answer:
3. -2 4/7 4. 40 5. -8 6. 7/8
Step-by-step explanation:
I have to finish a quiz so i cant answer all of them right now.
Question Help 2.6.PS-9 Challenge The table lists recommended amounts of food to order for 19 party guests. Nathan and Sydney are hosting a graduation party for 40 guests. They know there will also be guests stopping by who may have come from other parties. For ordering purposes, they will count each of these "drop-in" guests as half a guest. How much of each food item should Nathan and Sydney order for a graduation party with 15 drop-in guests? Party Food Item Amount Fried 24 Chicken pieces 1 Deli 4 3 Meats pounds 3 C. Nathan and Sydney should order pieces of chicken. (Simplify your answer. Type an integer, proper fraction, or mixed number.) Enter your answer in the answer box and then click Check Answer. 2 parts
Answers
25 guests is 2.5 times more than 10
Multiply each order by 2.5
Chicken = 16 x 2.5 = 40
Lasagna = 7 x 2.5 = 17.5 , round to 18
Deli meat = 1.8 x 2.5 = 4.5, round to 5
Sliced cheese = 15 x 2.5 = 37.5, round to 38
Buns = 1 x 2.5 = 2.5, round to 3
Potato salad = 2 x 2.5 = 5
Answer:
helo
Step-by-step explanation:
If a pair of corresponding angles are complementary, what is the measure of each angle?
Answers
Answer:
Step-by-step explanation:
Complementary is adding up to 90 degrees. depends what the other angle is/one of the pair. Subtract that by 90 and you find the other angle.
quadratic form to vertex form with a vertex of (-4,-1) and a y-intercept of 7
Answers
y = a(x - h)^2 + k
Where:
vertex = (h, k)
Axis of symmetry: x = h
The value of “a” determines whether the graph opens up or down, and makes the parent function wider or narrower.
The value of “h” determines how far left or right the parent function is translated.
The value of “k” determines how far up or down the parent function is translated.
Now that we have these definitions, we can substitute the given values into the vertex form to solve for “a”:
Use vertex = (-4, -1) and y-intercept, (0, 7):
7 = a(0+ 4)^2 - 1
7 = a(4)^2 - 1
7 = a(16) - 1
Add 1 to both sides:
7 + 1 = a(16) - 1 + 1
8 = 16a
Divide both sides by 16 to solve for “a”:
8/16 = 16a/16
1/2 = a
Since a = 1/2 (which is positive, implying that the parabola opens upward), and the vertex occurs at point (-4, -1) as the minimum point:
The quadratic equation in vertex form is:
y = 1/2(x + 4)^2 - 1
Please mark my answers as the Brainliest, if you find my explanations/solution helpful :)
plzzz help answer answer plzzzzzzzzzz aspa
1/4a + 4b
a = -7 b = 0
Answers
This can be simplified to -1 and 3/4
-1 3/4
I hope this helps :)
On the first day of a family road trip, Kai's family travels 365 miles.
On the third day, they travel 20% farther.
How many miles does Kai's family travel on the third day?
Answers
The number of miles traveled by Kai's family as required in the task content is; 73 miles.
How many miles was travelled on the third day?It follows from the task content that the number of miles traveled by Kai's family on the third day is to be determined.
On this note, since the family travelled 365 miles on the first day and travelled 20% farther on the third day;
The number of miles traveled on the third day can be modelled as;
= 20% of 365
= (20 / 100) × 365
= 73 miles.
On this note, the number of miles traveled on the third day is; 73 miles.
Read more on percentages;
https://brainly.com/question/19247356
#SPJ1
A circle fits in a square with sides of 12 inches. What is the approximate area of the shaded region between the square and the circle? (Use 3.14 for and round to the nearest whole number.) 12 inches 12 inches
Answers
Answer:
Step-by-step explanation:
Thus this area is 12^2 which is 144 sq. in. The area for the circle is dependent on the radius which would be half the diameter or length of the square. The formula for the area of a circle is πr^2 so 36π is the area of the circle
111base2multply(1111base2+1010base2)
Answers
Answer:
111base2multply(1111base2+1010base2) = 0
Is x = -2 a function?
Answers
Answer:
yes
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
If you graph this function, you'll find that it looks like a vertical line, straight up and down. In a function, each x-value has to have exactly one y-value. In this function, however, any y-value you plug in gives you the same x-value: -2.
The one x-value, -2, has an infinite number of corresponding y-values, so this is definitely not a function.
Help help help help help
Answers
Answer:
the exponent is 8
Step-by-step explanation:
18 is being raised to the 8th power (AKA- being multiplied by itself 8 times)
btw- 18 is the base
hope this helps :)
please crown me brainliest!!!
The exponent is 8. An exponent is represented by the superscript above/ of the number.
Line R passing through point P(-2, -1) and point (3,5). Find the slope of line R.
Answers
Answer:
Slope: 6/5
Step-by-step explanation:
For this problem, you'll need to apply the slope formula Y2-Y1
X2-X1.
Let's now assign each number their position in the formula. The first set of parentheses, (-2,-1) is going to translate to (x1,y1). (3,5) will translate to (x2,y2). Now, when you put it all together, you get 5-(-1) / 3-(-2). This would give you 6/5. That would be your slope. You can then proceed to graph it. Hope this helped! :))
-7x² - 6x +9 and 3x²-x+7
Answers
Answer:
For -7x^2 - 6x + 9: [tex]-\frac{3+6\sqrt{2} }{7}[/tex] [tex]-\frac{3-6\sqrt{2} }{7}[/tex]
For 3x^2 -x + 7: [tex]\frac{x+i\sqrt{83} }{6}[/tex] [tex]\frac{x-i\sqrt{83} }{6}[/tex]
Step-by-step explanation:
Find the zeros using the quadratic formula. Solution attatched. I apologize for poor handwriting. Also, there should be a negative sign before the answer to the first expression in the solution.
Draw the two straight lines f(x) and g(x) in the same coordinate system. Solve the equation f(x) = g(x) both graphically and by computation.
Answers
Answer:
anong grade po yan?
baka alam ko po
What is the equation of a line perpendicular to y= 3/4x +12 that passes through (12, 3)
Answers
Answer:
y=-4/3x-9
=
−
4
3
x
−
9
Step-by-step explanation:
First we need to get the slope of the perpendicular line
The slope of a perpendicular line is equal to the negative inverse of the slope of the given line
y
=
m
x
+
b
y
=
3
4
x
−
2
⇒
m
=
3
4
m
'
=
−
1
m
⇒
m
'
=
−
1
3
4
⇒
m
'
=
−
4
3
Now that we have the slope, we need to find the y-intercept.
To find the y-intercept, we need to plug-in values of
x
and
y
that the line passes through
y
'
=
m
'
x
'
+
b
⇒
y
'
=
−
4
3
x
'
+
b
⇒
7
=
−
4
3
(
−
12
)
+
b
⇒
7
=
16
+
b
⇒
b
=
−
9
Therefore, the equation of the line is
y
=
−
4
3
x
−
9
linear sequence is 11,20,29,38 whats the nth term
Answers
Answer: I believe 47
Step-by-step explanation:
11 + 9 equals 20 and you keep adding 9
:)
Help help don’t understand
Answers
Answer:
the number in scientific notation is 8.950*10^6
Answer:
8.95×10^6
Step-by-step explanation:
please mark me as brainlest
In a survey, the number of people in each of the 10 vans passing a certain traffic junction was tracked as: 13,16, 12, 14, 13, 14, 12, 19, 14, 17. Find the mean, median and mode of the data.
Answers
Answer:
mean: 14. 4 . Median: 13.5 Mode: 14
Step-by-step explanation: