By graphing the system of constraints, find the values of x and y that maximize the objective function. x+y<=11 2y=>x x=>0 y=>0 maximum for p=3x+2y a. p=10 1/3 b. p=7 1/3 c. p=21 d. p=29 1/3
Answers
x = 0
y = 0
2y = x
x + y = 11
The region that qualifies all the inequalities are labeled R in the diagram below
The maximum coordinate for P is the intersection of 2y = x and x + y = 11
Let 2y = x be EQ(1) and x + y = 11 is EQ(2)
Substituting EQ(1) into EQ(2)
2y + y = 11
3y = 11
y = ¹¹/₃ ⇒ Substitute this back into either EQ(1) or EQ(2)
2(¹¹/₃) = x
x = ²²/₃
The value of P when x = ²²/₃ and y = ¹¹/₃ is given
P = 3(²²/₃) + 2(¹¹/₃) = 22 + ²²/₃ = 29¹/₃
Answer: Option D
Related Questions
is 3.774447444744474447444 a rational number
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How do you solve this equation
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Answer:
-4
Step-by-step explanation:
Use your knowledge of multiplication facts.
[tex]\sqrt[3]{-64}=\sqrt[3]{(-4)^3}=-4[/tex]
__
Your calculator may be able to do this for you.
Divide. Write your answer in simplest form.
4 ÷ 5/6
Answers
4 x (6/5) - flip the fraction and flip the second number
4 x (6/5) = 4.8
4.8 is your answer
hope this helps
Please help!! Rewrite the expression as the product of two binomials. What are the two binomials for the expression? x(x-8)-9(x-8)
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PLEASE HELP QUICK I'M OFFERING 12PTS AND BRAINLIEST ANSWER
what is the solution set for the open sentence with the given replacement set w^2 + 9 = 6w, (0,3,6,9)
Answers
5.Thomas walked 1 1/4 miles from his home to his school. Jackson walks 1 2/3 miles from his home to work. How much farther does Jackson walk to school than Thomas?
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Jackson walks 5/12 miles farther than Thomas to work. So, Jackson walks approximately [tex]\( \frac{5}{12} \)[/tex] miles farther than Thomas.
To find out how much farther Jackson walks to work than Thomas, we need to subtract the distance Thomas walks from the distance Jackson walks.
Thomas walks 1 1/4 miles, which is equivalent to 5/4 miles. Jackson walks 1 2/3 miles, which is equivalent to 5/3 miles.
To subtract fractions, we need a common denominator, which in this case is 12. So, 5/3 is equivalent to 20/12, and 5/4 is equivalent to 15/12.
Now, subtracting, we get 20/12 - 15/12 = 5/12 miles.
Therefore, Jackson walks 5/12 miles farther than Thomas.
At Chelsea's workplace, 30 people drink 2 cups of coffee a day on average. A pot of coffee has 10 cups of coffee. How many pots of coffee are needed each day?
Answers
30*2=60
1 pot=10
60 divided by 10 = 6
6 pots
6 pots
6 pots
6 pots
Which function is negative for the interval [–1, 1]?
The answer is the second graph
Answers
Answer:
the answer is the 2nd graph your welcome:)
Step-by-step explanation:
A function is the relationship between two variables such that each input has exactly one output
The function which is negative for the interval [-1, 1] is the function represented by the second graph
The reason the second graph is the correct option is as follows:
The output values of a function are the y-values of the function. A function is negative over an interval if its y-values are negative in the interval
The given interval is [-1, 1], which is the interval from x = -1, to x = 1
From the given graphs, the graph of the function that is negative over the interval [-1, 1] which is the second graph
a·x² + b·x + c = 0
At x = 0, y = -2
At x = 1, y = 0
At x = -1, y = 0
At x = 2, y = 2
Solving the above gives; The equation of the function is f(x) = x² - 2
The graph of the function is attached
Learn more about graphs of function here:
https://brainly.com/question/19857667
BRAINLIESTTTT!!!
1. Which of the following statements best describes the graph of x + y = 4?
It is a line which intersects the x-axis at (4, 4).
It is a line which intersects the y-axis at (4, 4).
It is a line joining the points whose x- and y-coordinates add up to 8.
It is a line joining the points whose x- and y-coordinates add up to 4.
Answers
A is false because any point on the x axis will have y = 0
B is false because any point on the y axis will have x = 0
C is false; the coordinates add up to 4
D is the only thing left. It's true since x+y = 4 indicating that the coordinates add up to 4
Answer: choice D
==============================================================
Problem 2
You're close but the answer is actually choice C. The shaded region is below the slanted line so we'll have a "less than or equal to" sign instead of a "greater than or equal to" sign for the first inequality.
=================================================================
Problem 3
Using geogebra (see attached image) I'm getting the graph that matches with choice A
So it looks like you have the correct answer. Nice job.
If number is added to its square, the result is 56. find the number.
Answers
Answer:
-8 or +7
Step-by-step explanation:
Let x represent the number. The the problem statement tells us ...
x² + x = 56
x² +x -56 = 0 . . . . . subtract 56 to put into standard form
(x +8)(x -7) = 0 . . . . factor
Solutions to the equation are values of x that make the factors zero:
x = -8 . . . or . . . x = +7
The number could be -8 or +7.
_____
Check
For x = -8, the square is (-8)² = 64. Adding -8 to that gives 64-8 = 56.
For x = 7, the square is 7² = 49. Adding 7 to that gives 49+7 = 56.
What is the value of x?
Answers
Lima is constructing a square in which two of its vertices are points A and B. He has already used his straightedge and compass to construct the lines and arcs shown.
Answers
Write the equation for the vertical line that contains point E (10,-3)
Answers
This means it eventually crosses the x axis.
Undefined equations are represented by x= (wherever it crosses the x axis)
So since this point is (10 , -3), it crosses the x axis at 10 and goes up and down forever.
The equation of the line is x = 10.
Hope this helped C:
Jill is 7 kilometers away from joe. both begin to walk toward each other at the same time. jull walks at 1.5 kilometers per hour. they meet in 2 hours. how fast is joe walking?
Answers
The length of a rectangle is 4 in longer than its width. if the perimeter of the rectangle is 28 in , find its area.
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PLEASE HELP! 15 POINTS
Answers
she earns 550 per week
so that is one one side of the equation 550w
the other side would be the 4500 she spent plus the 200 per week' so 4500 +200w
equation is 550W> 4500+200W
What is Indegree and Outdegree of a graph?
Answers
Outdegree-The number of outward directed graph edges from a given graph vertex in a directed graph.
math help easy will give brainliest
Answers
y = 8x + b because the slope is same = 8.
using point slope form
y - -3 = 8(x - - 2)
y + 3 = 8x + 16
y = 8x + 13 Answer
Answer: the equation will be of the form
y = 8x + b because the slope is same = 8.
using point slope form
y - -3 = 8(x - - 2)
y + 3 = 8x + 16
y = 8x + 13 Answer
I hope that this helps! :3
Are the graphs of the lines in the pair parallel? Explain. y = 3/7 x + 11 and –3x + 7y = 13
Answers
Seth is reading a long novel. if he reads 45 pages per hour, how many hours will it take him to read 585 pages?
Answers
This is true because:
You need to divide 585 by 45, and you get the answer, 13.
0.74 as a fraction in simplest form
Answers
74/100 reduces to 37/50 <==
There are 14 dogs in a particular class at a dog show. Blue, red, yellow, and white ribbons will be awarded to the first through fourth place finishers, respectively. In how many different ways can the ribbons be awarded?
1001
6006
24024
38416
Answers
There are 13 possibilities for second place, since a dog can't get both first and second place.
There are 12 possibilities for third place, since a dog can't get both first, second, and third place.
There are 11 possibilities for fourth place, since a dog can't get both first, second, third, and fourth place.
Multiply them together and get 24024 possibilities.
Hope this helps!
Answer:
24,024
Step-by-step explanation:
on god
Find equations in standard form of the lines through point P that are A.) parallel to, and B.) perpendicular to, line L. P(0,-4); L: 2y=x. I've tried solving it and looking at examples, but no examples in my book are like this problem.
Answers
y = 1/2x....the slope of this line is 1/2.
A parallel line will have the same slope.
y = mx + b
slope(m) = 1/2
(0,-4)....x = 0 and y = -4
now we sub and find b, the y int
-4 = 1/2(0) + b
-4 = b
so ur equation is : y = 1/2x - 4...but we need it in standard form Ax + By = C
y = 1/2x - 4....subtract 1/2x from both sides
-1/2x + y = -4...multiply both sides by -2
x - 2y = 8 <== standard form of parallel line
==========================
the slope of the line was 1/2. A perpendicular line will have a negative reciprocal slope. All that means is flip the slope and change the sign. So our perpendicular line will have a slope of -2...see how I flipped 1/2 making it 2/1...and changed the sign, making it -2.
y = mx + b
slope(m) = -2
(0,-4)...x = 0 and y = -4
sub and find b
-4 = -2(0) + b
-4 = b
so this equation is : y = -2x - 4....but we need standard form
y = -2x - 4....add 2x to both sides
2x + y = -4 <== standard form of perpendicular line
Guys please help! 15 points and brainliest! In triangle CDE, the measure of angle C is 90 degrees, side CD is 15 and DE is 3 more than CE. Find the length of the longest side of CDE.
Answers
your triangle is
CD=15=a
CE=?=b
DE=CE+3=b+3=c
and C=90°
-> insert those values, with c substituted with b+3 to remove c
c^2=a^2+b^2-2*a*b*cos(C)
(b+3)^2=15^2+b^2-2*15*b*cos(90)
cos(90)=0->
(b+3)^2=15^2+b^2
b^2+2*3*b+3^2=225+b^2
6b+9=225
6b=216
b=36=CE
DE=CE+3=36+3=39
If a sports car is traveling at 95 miles per hour, how long would it take the sports car to overtake a family car traveling at 35 miles per hour that left the same starting point 4.5 hours earlier?
Answers
d = st
The sports car travels d distance for t time at speed, s, 95 mph until it overtakes the family
car.
The equation for the sports car is
d = 95t
The family car travels the same distance, d, but since it left 4.5 hours earlier than the sports car, it travels for t + 4.5 time until it is overtaken. It travels at speed, 35 mph.
The equation for the family car is
d = 35(t + 4.5)
We solve the two equations as a system of equations.
d = 95t
d = 35(t + 4.5)
Since d = d, set the right sides of the equations above equal to each other.
95t = 35(t + 4.5)
95t = 35t + 157.5
60t = 157.5
t = 2.625
The answer is 2.625 hours, or 2 hours, 37 minutes, and 30 seconds.
Check:
In 2.625 hours, the sports car travels: 95 mph * 2.625 h = 249.375 miles
The family car traveled 2.625 hours plus the extra 4.5 hours, or 7.125 hours.
In 7.125 hours, the family car travels 35 mph * 7.125 h = 249.375 miles.
The cars have traveled the same distance 2.625 hours after the sports car left, so our answer is correct.
Sadie's ice cream shop sold 11 sundaes with nuts and 1 sundae without nuts. what is the ratio of the number of sundaes without nuts to the number of sundaes with nuts?
Answers
1:11
1:11
The inverse of x y is: x y x y y x x y y x
Answers
Answer:
The inverse of xy is yx.
Step-by-step explanation:
Given: xy
We need to find the inverse of xy.
To find inverse of an expression, we need to replace the variable x by y and y by x.
Given xy.
Now replace x by y and y by x, we get
yx
Therefore, the inverse of xy is yx.
Let me show you an example.
y = x - 2
To find the inverse function, replace x by y and y by x, we get
x = y - 2
It is an equation, to write the equation in terms of y, add 2 from both sides, we get
x + 2 = y -2 + 2
x + 2 = y
Therefore, y = x + 2
Which of the following is more than 0.35 but less than 0.41
A.
8/25
B.
3/10
C.
2/5
D.
9/26
Answers
Answer:
C. [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
Let x be the number which is more than 0.35 but less than 0.41,
⇒ 0.35 < x < 0.41
[tex]\implies \frac{35}{100}< x < \frac{41}{100}[/tex]
[tex]\implies \frac{7}{20} < x < \frac{41}{100}[/tex]
∵ Only [tex]\frac{2}{5}[/tex] is between [tex]\frac{7}{20}[/tex] and [tex]\frac{41}{100}[/tex],
Hence, option C is correct.
Find the missing measures for the rectangle.
l = _?_
w = 2 cm
A = _?_
P = 25 cm
A) 12.5 cm; 25 cm2
B) 10.5 cm; 21 cm2
C) 12.5 cm; 21 cm2
D) 10.5 cm; 25 cm2
Answers
P = 25
W = 2
25 = 2(L + 2)
25 = 2L + 4
25 - 4 = 2L
21 = 2L
21/2 = L
10.5 = L.......so ur length is 10.5 cm
A = L * W
A = 10.5 * 2
A = 21 cm^2
so ur answer is B. 10.5 cm, and 21 cm^2
How to find the perimeter of a polygon with vertices
Answers
To find the perimeter of a polygon with vertices, calculate the sum of the lengths of all the sides of the polygon by taking the distance between each pair of consecutive vertices and adding them together.
Explanation:To find the perimeter of a polygon with vertices, you need to calculate the sum of the lengths of all the sides of the polygon. The perimeter is the distance around the polygon. You can do this by taking the distance between each pair of consecutive vertices and adding them together. For example, if you have a triangle with vertices A, B, and C, you would calculate the length of AB, BC, and AC, and then add these lengths together to find the perimeter of the triangle.
Learn more about perimeter of a polygon here:https://brainly.com/question/15387363
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