By graphing the system of constraints, find the values of x and y that maximize the objective function.
2<_x<_6
1<_y<_5
x+y<_8
Maximum for p=3x+2y
Answers:
A. (2,1)
B. (6,2)
C. (2,5)
D. (3,5)
Answers
p(6,1) = 3(6) + 2(1) = 20
p(2,1) = 3(2) + 2(1) = 8
p(2,5) = 3(2) + 2(5) = 16
p(3,5) = 3(3) + 2(5) = 19
p(6,2) = 3(6) + 2(2) = 22
So the maximum value of p is 22 as x = 6 and y = 2.
Answer: (6,2)
Step-by-step explanation:
Related Questions
The sum of 5 consecutive odd numbers is 145 what is the third number in this sequence
Answers
10x + 25 = 145
10x = 120
x = 12
2x + 1 = 25
Sequence = 25 +27 +29 +31 +33
Third number = 29
Answer:
29
Step-by-step explanation:
You don't need to know you just need to know the answer and it is 29
Y=-4x-1 in standard form
Answers
Jenny divided 1/2 gallon of ketchup equally into 4 smaller bottles to put on the tables in her hamburger restaurant. How much ketchup did she put in each bottle
Answers
I believe she put 1/4 of a gallon in each bottle.
I Really Hope This Helped You!
What sum or difference is equivalent to the following expression 5-3x/5 A 1+3/5 B 1+3x/5 C 1-3x/5 D 25-15x
Answers
Answer:
Option C is the answer.
Step-by-step explanation:
The given expression is [tex]\frac{(5-3x)}{5}[/tex]
We solve it further to get the simplified form.
[tex]\frac{(5-3x)}{5}[/tex] = [tex]\frac{5}{5}-\frac{3x}{5}[/tex]
= [tex](1-\frac{3x}{5})[/tex] [Since [tex]\frac{a-b}{a}=\frac{a}{a}-\frac{b}{a}][/tex]
Therefore, option C matches the simplified form of the expression.
PART 2...Solve the below system of equations using the best method. Please describe the method used [substitution, graphing, elimination, etc], and give your answer in the form (x,y).
1.) 7x + 2y = 4
y = -4x + 1
2.) 3x - 4y = 1
-2x + 3y = 1
Answers
7x + 2y = 4
y = -4x + 1
Substitute what y is equal to from the second equation into y of the first equation.
7x + 2(-4x + 1) = 4
7x - 8x + 2 = 4
-x + 2 = 4
-x = 2
x = -2
Now substitute x with -2 in the second original equation to find y.
y = -4x + 1
y = -4(-2) + 1
y = 8 + 1
y = 9
Solution: (-2, 9)
2.) The first equation has 3x. The second equation has -2x. Multiply the first equation by 2 and the second equation by 3 and add them to use the elimination method.
3x - 4y = 1
-2x + 3y = 1
6x - 8y = 2
-6x + 9y = 3
-----------------
y = 5
The first original equation has -4y, and the second original equation has 3y. Multiply the first equation by 3 and teh second by 4 and add them to eliminate y.
9x - 12y = 3
-8x + 12y = 4
------------------
x = 7
Solution: (7, 5)
How many seconds should a standard ecg strip be, to use for interpretation?
a. 1 minute
b. 12 seconds
c. 6 seconds
d. 30 seconds?
Answers
6 seconds
What ten times 13 divided by 130, how you solve it
Answers
You can find this by adding 10, 13 times
Looking like this: 10+10+10+10+10+10+10+10+10+10+10+10+10= 130
Or, another simpler way would be to multiply 1 x 13 = 13 and then add the number of 0's that are in the equation, which there is only one, so we then get 130!
Hope this helps!
Which ratio is equivalent to 24/56?
Answers
= 3/7
hope it helps
In the graph shown, which ordered pair does NOT represent a solution to the graph?
A) (1, 7)
B) (0, 4)
C) (2, –2)
D) (3, –5)
The steps Kalee used to solve the equation –4x + 9 = 2x – 12x + 51 and the properties she used to justify each step are shown. Find and identify each error. Note: There are errors in both the mathematical work and the justifications.
Create your own equation and explain, using complete sentences, how you would solve it. Make sure you include the properties of operations and/or the properties of equality that justify each step in your explanation
Answers
Check out the attached image "figure 1". The graph of the line is shown in red. The red line is the equation y = -3x+4. The answer choices A through D are shown as blue points. Only point A = (1,7) is not on the red line. So point A is not a solution to the equation.
Answer: Choice A) (1,7)
=============================================
Problem 2)
First error is in step 3, specifically the "additive inverse" portion. It should be "additive property of equality" since we're adding 10x to both sides.
The second error is the reasoning in step 5. Instead of "symmetric property" it should be "subtraction property of equality".
The third error is all of line 7. We are not multiplying both sides by 6. Instead we divide both sides by 6. The reasoning should be "division property of equality"
Finally, the last error is the first column on line 8. The final answer should be x = 7 (since 42 divided by 6 = 7)
See the image attachment "figure 2" for the visual summary of the table, and what needs to be fixed.
=============================================
Problem 3)
The equation I have come up with is 8x-4+2x = 3x-11
The steps to solve it are shown in the image attachment labeled "figure 3"
You have 4 shirts and 3 pairs of pants. How many different outfits can you make if you need to wear a different shirts and different pants everyday?
Answers
Answer:
you multiply 4 by 3 and you get 12 outfits
Step-by-step explanation:
Write the first ten terms of a sequence whose first term is -10 and whose common difference is -2.
Answers
notice then, is clearly, -10, -12, -14, -16, -18 and so on.
Answer:
The sequence is: -10, -12, -14, -16, -18, -20, -22, -24, -26, and -28.
HELP. SEE ATTACHED Suppose the integral from 2 to 6 of g of x, dx equals 12 and the integral from 5 to 6 of g of x, dx equals negative 3, find the value of the integral from 2 to 5 of 3 times g of x, dx .
Answers
The value of the asked integral is 45
What are integrals?An integral is the continuous analog of a sum, which is used to calculate areas, volumes, and their generalizations. Integration, the process of computing an integral, is one of the two fundamental operation of calculus, the other being differentiation.
Given that, [tex]\int\limits^6_2 {g(x)} \, dx = 12[/tex] and [tex]\int\limits^6_5 {g(x)} \, dx = -3[/tex]
[tex]\int\limits^6_2 {g(x)} \, dx = 12[/tex] _ [tex]\int\limits^6_5 {g(x)} \, dx = -3[/tex] = [tex]\int\limits^5_2 {g(x)} \, dx[/tex]
Therefore,
[tex]\int\limits^5_2 {3g(x)} \, dx[/tex]
= [tex]3\int\limits^5_2 {g(x)} \, dx[/tex]
= 3[12-(-3)]
= 3(15) = 45
Hence, the value of the asked integral is 45
Learn more about integrals, click;
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Write the equation that satisfies the given conditions. The line passes through the two points (3, -1) and (-2, 5). Choices A. 5y = 6x - 23 B. y=-6/5x +13/5 C. y = 4x - 13
Answers
slope = (5 - (-1) / (-2 - 3) = -6/5
y = mx + b
slope(m) = -6/5
(3,-1)...x = 3 and y = -1
sub and find b, the y int
-1 = -6/5(3) + b
-1 = -18/5 + b
-1 + 18/5 = b
-5/5 + 18/5 = b
13/5 = b
so ur equation is : y = -6/5x + 13/5
To find the linear equation of a line passing through two given points, use the formula for the slope of a line to calculate the slope, then substitute this value, along with one of the given points, into the point-slope form of a line and solve for y.
Explanation:The subject of this question is the formulation of a linear equation, specifically a equation of a line passing through two given points (3, -1) and (-2, 5). The formula used to find the slope (m) of a line between two points is: m = (y2 - y1) / (x2 - x1). Use this formula to calculate the slope using these points(m = (5 - (-1)) / (-2 - 3) = -6/5) .
Next, using the point-slope form of a line, y - y1 = m(x - x1), we substitute m with the calculated slope, and (x1, y1) with one of the given points. (Let's use (3, -1), y - (-1) = -6/5(x - 3) simplifying this gives us the answer: y=-6/5x +13/5. Therefore, the correct answer is choice B: y=-6/5x +13/5.
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My company charges 10 cents per minute over 5 minutes when using Internet at its store. It also charges a 5 dollar fee for usage. How many minutes can I get with 10 dollars?
Answers
now, you start downloading the macarena song and other mp3s, and it takes longer then they charge 10 cents or $0.10 per minute after those 5 minutes.
so, if you use it
6 mins you pay 1 * 0.10
7 mins you pay 2 * 0.10
8 mins you pay 3 * 0.10
9 mins you pay 4 * 0.10
10 mins you pay 5 * 0.10
x mins you pay (x - 5) * 0.10 so long "x" is 5 or higher.
now, they charge a $5 fee, that's just a connection fee, so is charged only once,
so the cost function will be
[tex]\bf \stackrel{cost}{y}=\stackrel{\textit{connection fee}}{5}+\stackrel{\textit{over 5 mins fee}}{(x-5)0.10} \\\\\\ \textit{how much can you get for 10 bucks? well if 10 bucks is the \underline{cost}} \\\\\\ 10=5+(x-5)0.1\implies 5=0.1(x-5)\implies \cfrac{5}{0.1}=x-5 \\\\\\ 50=x-5\implies \stackrel{minutes}{55}=x[/tex]
which value below is not included in the solution set for the inequality statement? x+4≥1/2(x-3)
Answers
x + 4 > = 1/2x - 3/2
2x + 8 > = x - 3
2x - x > = -3 - 8
x > = - 11
so not included would be any number that is less then or equal to -11.....such as -11, -12, -13....etc
Answer:
Step-by-step explanation:
-13
What is the product of 3 2/3 + 14 2/5?
Answers
2) 14 2/5 = 14 + 2/5 = (70 + 2) / 5 = 72 / 5
Product: (11/3) (72/5) = (11*72) / (3*5) = 792/15 = 264 / 5
Answer: 264 / 5
Will give brainliest pls help
Answers
(-a)^2+(a)^2
a^2+a^2
After adding them, your answer would be A.) [tex] \sqrt{2a ^{2} } [/tex]
Hope this helps!
4y cos(x) find local minimum maximum -g
Answers
When shopping, Lucinda spent $48. If the amount she spent was 15% of her savings, how much savings did she have before she shopped? Explain how you got your answer.
Answers
Divide 48 by 0.15 to get the total amount she has, since you are trying to find the previous, you divide
hope this helps
I need help with an Algebra question. The question is in the picture. Thank you <3
Answers
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The range is [tex]0 \le H \le 40000[/tex] since H = 0 is the smallest output of the function and H = 40,000 is the largest output. Like the domain, the range is the set of possible outputs of a function.
Given triangle ABC is congruent to PQR,b= 3v+4 and q=8v-6 find angle b and angle q
Answers
What is a correct congruence statement for the triangles shown?
Answers
the blue arc is showing that the angle of P & B are congruent, the single blue line shows that PF is congruent to BL
so in order for the triangles to be congruent the letters of the 2nd triangle need to be in the same order as the first
so P = B, F = L, and X = G
So answer would be BLG
Problem page two consecutive integers have a sum of 47 . find the integers
Answers
Find the value of x for which line a is parallel to line b.
Answers
A rose garden is designed by joining a rectangle and a semicircle, as shown below. the rectangle is 31ft long and 19ft wide. if the gardener wants to build a fence around the garden, how many feet of fence are required? (use the value 3.14 for π , and do not round your answer. be sure to include the correct unit in your answer.)
Answers
The admission fee at an amusement park is $2.00 for children and $5.60 for adults. On a certain day, 352 people entered the park, and the admission fees collected totaled 1280 dollars. How many children and how many adults were admitted?
Answers
In which of these cases is each stamp worth the most?
1. 7 of the same stamp worth a total of $3.15
2. 8 of the same stamp worth a total of $3.20
3. 10 of the same stamp worth a total of $4.10
4. 16 of the same stamp worth a total of $4.80
Answers
3.15 /7 = 0.45
3.20/8 = 0.40
4.10/10 = 0.41
4.80/16 = 0.3
Answer is 1. 7 stamps worth 3.15
Answer:
1. 7 stamps for $3.15 → $0.45/stamp
Step-by-step explanation:
Calculate the price per stamp for each scenario:
1)[tex]\frac{3.15}{7}=0.45[/tex]/stamp
2)[tex]\frac{3.20}{8}=0.40[/tex]/stamp
3)[tex]\frac{4.10}{10}=0.41[/tex]/stamp
4)[tex]\frac{4.80}{16}=0.3[/tex]/stamp
Therefore the first scenario of stamps will be the worth the most per stamp, as it has a higher cost than the rest.
This trip covers approximately 1,500 miles. You plan to return the car with a full tank of gasoline. You are considering two options advertised by Hertz: Toyota Camry, 33 mpg highway, costs $465.59 plus taxes and fees totaling $553.28. Toyota Prius Hybrid, 48 mpg highway, costs $634.49 plus taxes and fees totaling $804.61. In both cases, you must purchase gasoline, which costs approximately $3.80 per gallon in California.
Answers
If each of the numbers in the following data set were multiplied by 18 what would be the new median of the data set 14,20,18,58,71,36
Answers
Answer:
Step-by-step explanation:
arranging in ascending order
14,18,20,36,58,71
median=(20+36)/2=56/2=28
new median=28*18=504
Answer:
504
Step-by-step explanation:
Parallel slope of 8x+y=11
Answers
First, we must put this into slope-intercept form, just so that we see this better :)
Slope-intercept form : y=mx+b where m=slope, b=y-intercept.
Subtract 8x from both sides.
y = -8x + 11
-8 is in the "m" spot. Remember, m=slope :)
So, our slope is -8.
Remember, if 2 lines are parallel to one another, then they have the same slope.
So, the parallel slope of -8 is -8.
However, if 2 lines are perpendicular from one another, they have negative reciprocal slopes :)
~Hope I helped!~
Answer:
The slope parallel to this line is -8.
Step-by-step explanation:
That's because parallel lines have the same slope. Therefore to find the slope of a parallel line, we must first find the slope of this one. On order to do that, we need to solve for y and then look at the coefficient of x.
8x + y = 11
y = -8x + 11
Therefore, we know the slope to be -8, which means the parallel slope must also be -8.