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Find the maximum value of
C = 3x + 2y
Subject to the following constraints:
x > 0
y>0
x + 3y <15
4x + y <16
Enter
Answers
Answer:
Given:
x > 0
y > 0
And,
x + 3y < 15
4x + y < 16
<=>
4x + 12y < 60
4x + y < 16
<=>
11y < 44
<=> y < 4
Otherwise
x + 3y < 15
4x + y < 16
<=>
x + 3y < 15
12x + 3y < 48
<=>
11x < 33
<=>
x < 3
=> C = 3x + 2y < 3*3 + 2*4 = 9 + 8 = 17
=> C < 17
Hope this helps!
:)
The maximum value of C is an illustration of objective functions
The maximum value of C is 25
The objective function is given as:
[tex]\mathbf{C = 3x + 2y}[/tex]
The constraints are:
[tex]\mathbf{x + 3y < 15}[/tex]
[tex]\mathbf{4x + y < 16}[/tex]
[tex]\mathbf{x,y > 0}[/tex]
Plot the graphs of the constraints
From the graph (see attachment), the only optimal point is (3,4)
Substitute 3 for x and 4 for y in the objective function.
So, we have:
[tex]\mathbf{C = 3x + 2y}[/tex]
[tex]\mathbf{C = 3(3) + 2(4)}[/tex]
[tex]\mathbf{C = 9 + 8}[/tex]
[tex]\mathbf{C = 17}[/tex]
Hence, the maximum value of C is 17
Read more about optimizing functions at:
https://brainly.com/question/14778650
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Answer:
-0.2 or -2/10
Step-by-step explanation:
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The cross section that is formed is A. a rectangle
Answer:
a.) a rectangle
Step-by-step explanation:
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What is the total area, in square units, of the
figure shown below?
a. 6
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c. 24
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Answer:
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Both are right triangles so you can do 4*3= 12 and then 12/2= 6
then 6*8=48 and 48/2=24
24+6 =30!
hope this helps ! :)
8x6=48 48divided by 2 equals 24
3x4=12 12divided by 2equals 6
6+24 equals 30
HELP PLEASEEEEEREE.....
Answers
The key phrase here is "given you are in Sacramento". This means we only focus on the "Sacramento" row. Ignore everything else.
17 days are clear out of 30 total, so 17/30 = 0.5667 approximately and that rounds to 0.57
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The need for a global regulatory body to monitor the use of nuclear weapons
A sharing of all nuclear weapons technology to make all countries equal
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Question 2(Multiple Choice Worth 5 points)
Which of the following is a common argument against the U.S. decision to drop the atomic bomb?
The study of the effect of atomic weapons allowed nuclear power to be used as energy.
The use of the atomic bomb avoided additional loss of life for the Allies.
The Japanese were more willing to surrender than the U.S. military thought.
The dropping of the atomic bomb would act as a deterrent to future wars.
Question 3(Multiple Choice Worth 5 points)
What is the best explanation for why the United States decided to target Hiroshima?
It was a center of communications, military command, and supply point for the Japanese army.
It would have few casualties because it was nearly destroyed by previous bombings.
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Question 4(Multiple Choice Worth 5 points)
Many Americans approved of the use of atomic weapons on Japan despite their destructive power because
they believed it would shorten the war and ultimately save American lives
they were eager to see if this new technology was effective in preventing wars
they believed that the atom bomb would cause no more damage than regular bombs
they were told that it was the only certain way to defeat the militant Japanese empire
Answers
1. An arms race between the United States and Soviet Union
2. The use of the atomic bomb avoided additional loss of life for the Allies.
3. It was a center of communications, military command, and supply point for the Japanese army.
4. they believed it would shorten the war and ultimately save American lives
5. if i could get brainliest that would be great
Which are the roots of the quadratic function f(q) = 02 - 125? Select two options.
O q = 5/5
O q = -5/5
q=3/5
q = -3/5
q=25/5
Answers
Which could be the area of the base of the triangular prism?
[Not drawn to scale]
A) 6 ft2
B) 10 ft2
C) 12 ft2
D) 20 ft2
Answers
Answer:
It's 20 because 5ft times 4ft gives you 20ft
Answer the MATH question pleaaseee
Answers
Answer:
25 percent
Step-by-step explanation:
Answer:
25%
Step-by-step explanation:
Since there are 4 and only 1 is write that is a 1/4 change of guessing correct. 1/4=.25=25%.
The following octagon is formed by removing four congruent right triangles from a rectangle. What is the total area of
the octagon?
44 cm 2
52 cm 2
10 cm 2
58 cm 2
Answers
10cm^
To find the total area of the octagon, we need to find the area of the rectangle and subtract the areas of the four congruent right triangles that were removed.
Let's assume the length of the rectangle is L and the width is W.
The area of the rectangle is L * W.
The two smaller sides of the right triangle are congruent to the width of the rectangle, which is W. The hypotenuse of each right triangle is congruent to the length of the rectangle, which is L.
The area of a right triangle is (base * height) / 2. In this case, the base is W and the height is L.
So, the area of one right triangle is (W * L) / 2.
Since there are four congruent right triangles, the total area of the right triangles is 4 * (W * L) / 2 = 2 * (W * L).
Therefore, the total area of the octagon is (L * W) - 2 * (W * L).
The total area of the octagon = L * W - 2 * W * L.
We don't know the actual values of L and W, so we cannot calculate the exact area. However, we can simplify the expression.
The total area of the octagon = L * W - 2 * W * L = LW - 2WL = LW - 2WL = LW - 2WL = LW.
Therefore, the total area of the octagon is equal to the area of the rectangle.
What is the measure of AngleJHN? 25° 45° 50° 95°
Answers
Answer:
95 is the answer!
The measure of the angle ∠JHN will be 45°. Then the correct option is B.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.
Vertically opposite angle - When two lines intersect, then their opposite angles are equal.
Angle ∠MHL and angle ∠JHK are equal because the angles are opposite angles.
∠MHL = ∠JHK
3x + 20 = x + 20 + x + 25
x = 25
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The missing diagram is given below.
I need the answer ASAP! Thanks! ❤️
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Prove for any value of y the value of expression y^4−(y^2−9)(y^2+9) is divisible by 9.
Answers
Answer:
Step-by-step explanation:
y4−
(y2−9)(y2+9)
9
Distribute:
=y4+
−1
9
y4+9
Combine Like Terms:
=y4+
−1
9
y4+9
=(y4+
−1
9
y4)+(9)
=
8
9
y4+9
Answer:
=
8
9
y4+9
The polynomial expression is divisible by 9
What is a polynomial?Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the polynomial be represented as A
Now , A = y⁴ - (y² - 9)(y² + 9)
To prove that the expression y⁴ - (y² - 9)(y² + 9) is divisible by 9 for any value of y, we can use algebraic manipulation and factorization.
First, we can simplify the expression inside the parentheses:
y² - 9 = (y - 3)(y + 3)
y² + 9 = (y + 3i)(y - 3i)
where i is the imaginary unit, i.e., i² = -1.
Substituting these expressions back into the original equation, we get:
y⁴ - (y² - 9)(y² + 9) = y⁴ - (y - 3)(y + 3)(y + 3i)(y - 3i)
Now, we can factor out (y − 3)(y + 3) from the second term:
y⁴ - (y² - 9)(y^2 + 9) = y⁴ - (y² - 9)(y² + 9) + 9(y - 3)(y + 3)
= y⁴ - (y² - 3^2)(y² + 3²)
= (y²)² - (3²)²
= (y² + 3²)(y² - 3²)
= (y² + 9)(y² - 9)
= (y + 3i)(y - 3i)(y + 3)(y - 3)
Now, we can see that the expression is equal to the product of four factors: (y + 3i), (y - 3i), (y + 3), and (y - 3). Note that either (y + 3i) and (y - 3i) or (y + 3) and (y - 3) must have the same residue modulo 3, since there are only three residues modulo 3 (0, 1, and 2) and four factors. In either case, the product of the two factors that have the same residue modulo 3 is divisible by 3, and therefore the entire expression is divisible by 3.
Moreover, since (y + 3) and (y - 3) are both odd or both even, the product of (y + 3) and (y - 3) is divisible by 8, which implies that the entire expression is also divisible by 8.
Hence , the expression y⁴ - (y² - 9)(y² + 9) is divisible by both 3 and 8 for any value of y, and therefore it is also divisible by their least common multiple, which is 9
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Answer:
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Step-by-step explanation:
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Estimate 874,238 – 228,759 using front-end estimation
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Step-by-step explanation:
Ken baked a pan of brownies for a potluck. The number of squares he cuts the brownies into will depend on the number of people attending the potluck. s = the number of squares Ken cuts the brownies into. p = the number of people attending the potluck. Which of the variables is independent and which is dependent?
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Answer:
P is the independent variable while S is the dependent variable
Hope this Helps :)
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Answer:
B. 19
Step-by-step explanation:
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30 points + brainly
Question one ( both questions use the same picture)
The histogram below represents the heights of the Boston Celtics. What size are the intervals on the histogram?
2 inches
3 inches
4 inches
5 inches
Question 2
The histogram below represents the heights of the Boston Celtics. Which of the following statements is true?
The mode interval of this set is 79” – 81”.
There are more players between 73” and 75” than there are between 82” and 84”.
The most number of players are in the interval between 76” and 78”.
The fewest number of players are in the interval between 82” and 84”.
Answers
There are more between 73 and 76 than there are between 82 and 84 !
Answer: 3 inches
The mode interval of this set is 79” – 81”.
Step-by-step explanation: You are looking for the mode which means the one that occurs most frequently
Hey Guys, Thank you for all your help and support. I was wondering if you could help me one last time, I'm really confused. Thank you much. Love you all. <3
Answers
help me plz asap!!!!!!!!!!
Answers
Answer:
125
Step-by-step explanation:
8x-41+9x+17=180
17x-24=180
17x=204
x=12
9(12)+17
125
You and your friend are playing a game where you flip a coin and roll a fair four-sided die. You win if the coin is heads and the die lands on an odd number. Your friend wins if the coin is tails and the die lands on an even number. You tie if the coin is heads and the die is even or if the coin is tails and the die is odd. All the possible outcomes of the game are listed below.
If we take outcomes 2,4,5, and 7 as a subset of the sample space, which of the statements below describe this subset?
Answers
its a tie.
Step-by-step explanation:
G = 3t2 – 5t + 6
P= -8t² + 7t – 9
G + P=
Your answer should be a polynomial in standard
form.
Answers
Answer:
-5t² + 2t - 3
Step-by-step explanation:
G = 3t2 – 5t + 6
P = -8t² + 7t – 9
G + P
= (3t² – 5t + 6) + (-8t² + 7t – 9)
= 3t² - 8t² - 5t + 7t + 6 - 9
= -5t² + 2t - 3
Will give brainliest, What types of solutions will a quadratic equation have when the discriminant b^2−4ac in the quadratic formula is zero?
Two non real solutions
One real solution
Two real solutions
No solutions
Answers
Answer:
B
Step-by-step explanation:
When a discriminant is zero, the quadratic equation has one solution.
One batch of walnut muffins uses 1 1/3 cup of walnuts.How many cups of walnuts are needed to make 3 3/4 batches of muffins?
A. 5 1/12cups
B.3 3/12cups
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D. 4 cups
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What is the value of x?
ASAP
Answers
Explanation: so what you do is do 45 divided by 37 and you’ll get 1.66667 and so on. Then you do 1.66667 • 18 and you get 30.
Help please
If steak costs $8.45 per pound, what will be the total cost of 0.8 pounds of steak?
Answers
Answer:
$6.76
Step-by-step explanation:
Multiply 8.45 by 0.8 and you will get 6.76
Are my answers correct?
Answers
Answer:
I would have got the same answers so probably yea
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
According to my understanding I believe you are correct!
-2^x+3=-3^-x-2 solve for x
Answers
Answer:
x ≈ 2.34373881
Step-by-step explanation:
At a particular restaurant, each onion ring has 70 calories and each slider has 200 calories. A combination meal with onion rings and sliders is shown to have 1020 total calories and twice as many onion rings as there are sliders. Write a system of equations that could be used to determine the number of onion rings in the combination meal and the number of sliders in the combination meal. Define the variables that you use to write the system.
Answers
Step-by-step explanation:
r = onion rings amount
s = sliders amount
system of equations
2s = r
r(70) + s(200) = 1020
(for deltamath)
This question is based on the system of equations. Therefore, the system of equations 2s = r and r(70) + s(200) = 1020 are that could be used to determine the number of onion rings in the combination meal and the number of sliders in the combination meal.
Given:
At a particular restaurant, each onion ring has 70 calories and each slider has 200 calories. A combination meal with onion rings and sliders is shown to have 1020 total calories and twice as many onion rings as there are sliders.
According to the question,
Let the amount of onion rings be r and the amount of sliders be s.
Now, it is provided in question that, amount of sliders is twice as the onion rings. In mathematically expressed as,
⇒ 2s = r is the first system of equation.
Then, it is also give that, each onion ring has 70 calories and each slider has 200 calories. A combination meal with onion rings and sliders is shown to have 1020 total calories. This representing as,
⇒ r(70) + s(200) = 1020 is the second system of equation.
Therefore, the system of equations 2s = r and r(70) + s(200) = 1020 are that could be used to determine the number of onion rings in the combination meal and the number of sliders in the combination meal.
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Factor the expression below.
x2 - 6x + 9
A.
(x + 3)(x + 3)
B.
3(x2 - 2x + 3)
OC. (x-3)(x-3)
OD.
(x - 3)(x + 3)
HELP
Answers
This is a perfect square trinomial in the form a^2 - 2ab + b^2 = (a-b)^2. In this case, a = x and b = -3.
Another way you can look at it is to ask yourself "what two numbers multiply to 9 (last term) and add to -6 (middle coefficient)?". Those two numbers are -3 and -3
-3 plus -3 = -6
-3 times -3 = 9
So this is why x^2-6x+9 = (x-3)(x-3)
We can expand (x-3)(x-3) back out to get x^2-6x+9 again using the FOIL rule, distributive property, or the box method.
Answer:
C. (x-3)(x-3)
Step-by-step explanation:
x² - 6x + 9 = 0
x² - 3x - 3x + 9 = 0
x(x - 3) - 3(x - 3) = 0
(x - 3) (x - 3) = 0
