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Objective function: z=9x+7y
Constraints:
x ≥0, y ≥0
x+y ≥1
2x+4y ≤16
4x+2y ≤16
Find the objective function, the maximum value of Z, and where the maximum value occurs.
Answers
Answer:
The maximum value of z is 43.2 when x=2.7 and y=2.7 . The minimum value of f is 7 when x=0 and y=1
Step-by-step explanation:
f(x,y): z = 9x + 7y ... (1)
from the graphing we get the vertices of the constraint region formed are:
(0,4) (0,1) (1,0) (4,0) (2.7,2.7) ... plug in (1)
at (0,4): z = 28
at (0,1): z = 7
at (1,0): z = 9
at (4,0): z = 36
at (2.7,2.7): z = 43.2
The maximum value of z is 43.2 when x=2.7 and y=2.7 . The minimum value of z is 7 when x=0 and y=1
can i have help with this question please
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some1 help plz lol
The relationship between the Celsius (C) and Fahrenheit (F) scales for measuring temperature can be represented by a linear function. A temperature of 50 °F corresponds to 10 °C, and a temperature of 212 °F corresponds to 100 °C.
Which statement is the best interpretation of the slope of the graph of this function?
Question 1 options:
For each change of one degree in the Fahrenheit scale, there is a change of 59
5
9
degree in the Celsius scale.
A temperature of 0 °F corresponds to -17.78 °C.
A temperature of 0 °C corresponds to 32 °F.
For each change of one degree in the Fahrenheit scale, there is a change of 95
9
5
degree in the Celsius scale.
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The slope is 9/5, this means that for each change in degree in the Celsius scale there is a change of 9/5 degree in the Fahrenheit scale.
The y intercept is 32, this means that a temperature of 0 °C corresponds to 32 °F
A linear equation is given by:
y = mx + b
where y, x are variables, m is the slope of the graph and b is the y intercept.
Let F represent the temperature in Fahrenheit and C represent the temperature in Celsius.
50 °F corresponds to 10 °C it is given as (10, 50), while 212 °F corresponds to 100 °C, it is given as (100, 212). Hence:
[tex]F-F_1=\frac{F_2-F_1}{C_2-C_1} (C-C_1)\\\\\\F-50=\frac{212-50}{100-10}(C-10) \\\\\\F-50=\frac{9}{5}(C-10) \\\\\\F=\frac{9}{5}C+32[/tex]
The slope is 9/5, this means that for each change in degree in the Celsius scale there is a change of 9/5 degree in the Fahrenheit scale.
The y intercept is 32, this means that a temperature of 0 °C corresponds to 32 °F
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Can anyone help me? The answers belong in the boxes, I already tried to answer but not all of them were right. Please explain how you get your answers!
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what numeral comes next in the series: 116,113,107,98...?
Step by step have a test tommorow don't know any math need help
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113-107=6
107-98=9
This shows the pattern is subtracting 3 extra each time.
9+3=12
We will subtract by 12
98-12=86
86 is your answer
Answer:
The next term in the sequence would be 86.
Step-by-step explanation:
116, 113, 107, 98...
The first thing I would do is find the difference between all consecutive terms.
[tex]116-113=3\\113-107=6\\107-98=9[/tex]
The difference increases by 3 for every consecutive term, meaning each consecutive term is decreased by 3 more than the last.
Knowing that pattern, the next term in the sequence must have a difference of 12:
[tex]9+3=12\\98-12=86[/tex]
The next term in the sequence would be 86.
Can somebody help ??
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Step-by-step explanation:
the correct answer is 1/7
2+3×5(-4)÷5
how does it work
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Explanation: To add fractions, find the LCD and then combine.
I need help with this
Which proportion can be used to find 65% of 90?
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Answer: 65/100 = x/90
Step-by-step explanation: 65/100 = 65%
So, x/90 = 65/100
Thus, the answer is 65/100 = x/90
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Given A(-3, 4), B(0, 1), and C(4,2), reflect as follows: Ry-axis(ABC). What is B
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What is a formula for the nth term of the given sequence? 2, 4, 8...
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Answer:
[tex]2^{n}[/tex]
Step-by-step explanation:
2=[tex]2^{1}[/tex]
4=[tex]2^{2}[/tex]
8=[tex]2^{3}[/tex]
Sequence is based on 2 to the power of n where n is greater than or equal to 1.
please help me that question
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Solve the math problem
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Answer:
negative
Step-by-step explanation
the slope is negative and/or its going lower as you go from left to right meaning its negative
How did the temperature change? First, it decreased by 60%, and then it increased by 80%
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Answer:
1.08 times (108% of) the starting value.
Step-by-step explanation:
Let's say the original temperature was 100. (if it wasn't, you just have to scale it accordingly: was it 50, you take half of the result, and so on). After the first "step" the temperature dropped by 60%. And 60% of 100 is conveniently 60. At this point, it increased by 80%. Now, 80% of 60 is 48. (every 10 units you take 8, so 8x6). At this point we increase 60 by this value to get 108. We started at a temperature of 100, so the new temperature is 108/100 = 1.08 times the original one - or in percentage, 108%
Solve each system of linear equations by substitution
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Answer:
x=-6-3y/2
Step-by-step explanation:
A parallelogram is___a rhombus.
1. always
2.sometimes
3.never
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A parallelogram is SOMETIMES a rhombus.
(It can also sometimes be a rectangle, and sometimes a square.)
(But rhombuses, rectangles, and squares are ALWAYS parallelograms. Also, squares are always rhombuses and rectangles.)
Conan borrows $3,000 at a yearly simple interest rate of 1.6% for 2 years. He owes in interest. He needs to pay back in all.
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Answer:
Interest: $96
He needs to pay back: $3,096
Step-by-step explanation:
1.6% = 0.016
(3000)(0.016) = $48
48 x 2 = $96
3,000 + 96 = $3096
If Conan borrows $3,000 at a yearly simple interest rate of 1.6% for 2 years. Then he has to pay 3009.6 back.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
Conan borrows $3,000 at a yearly simple interest rate of 1.6% for 2 years.
A=P(1+rt)
A is final amount
P is principal amount
r is rate of interest
t is time period.
P=3000, r=0.16%=0.16/100=0.0016, t=2
A=3000(1+(0.0016)2)
=3000(1+0.0032)
=3000(1.0032)
=3009.6
Hence Canon needs to pay back 3009.6
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pls hurry!! i need this asap
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Answer:
Look at image
Step-by-step explanation:
Look at image
Look at image
The difference of a number divided by 2 and 1 is 5 find the number
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Answer:
Number is 10
Step-by-step explanation:
10 divided by 2 is 5 divided by 1 is also 5
I am Stuck and I need help
So there is a question I am stuck on and I would appreciate it alot of I got elp
Its a triangle squeezed in between 2 parrelel lines and im trying to find angles for
A / B / C
I have added a picture for you guys to see
Thank you and have a great day
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Answer:
A=35° B=65° C=80°
Step-by-step explanation:
The sum of all three inner angles needs to be 180.
alternate interior angles are congruent.
ASAP I WILL GIVE BRANILYIST ✨✨✨
Answers
Answer:
c,d
Step-by-step explanation:
for the first question
-3×5+5×-1/2 = -10 , so the answer is C
for the last question
3(x+2)-9
3x+6-9
3x-3 , so the answer is D
Solve
14(x-2) +3(x+5) _3(x+8) +5
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Answer:
14x - 32Step-by-step explanation:
Solve
14*(x-2) +3*(x+5) -3*(x+8) +5 =
14x - 28 + 3x + 15 - 3x - 24 + 5 =
14x - 32
A local gym charges customers $20 for the first month and then an additional $14 for each month after that. If Josh has paid the gym $160, for how many months has he been a member?
show work !!
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Answer:
11
Step-by-step explanation:
20 for first month. leaves 140. 140 ÷14 = 10
10+1 =11
Mr. Walker is looking at the fundraiser totals for the last five years. A 2-column table with 5 rows. The first column is labeled year with entries 1, 2, 3, 4, 5. The second column is labeled total (in dollars) with entries 896, 925, 880, 963, 914. How does the mean of the totals compare to the median? The median is $1. 60 greater than the mean.
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Answer: B
Step-by-step explanation: edge
What is the missing numerator and denominator?
Start Fraction 4 over 14 EndFraction plus blank equals StartFraction 8 over 14 EndFraction
The missing numerator is
.
The missing denominator is
.
Which fraction represents Eight-fourteenths in lowest terms?
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Answer:
the missing numerator is 4 and denominator is 4
8/14 In simpliest form is 4/7
Step-by-step explanation:
4/14+4/14=8/14
8 divded by 2=4 14 divded 2=7
*
Select all the values that are in the domain.
{(-1, 2), (-2,3),
(-3,4),(-4,5)
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Answer:
{-1, -2, -3, -4}
Step-by-step explanation:
The domain is the set of all x-values.
NO LINKS i just need this last question Milan will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $49.96 and costs an additional $0.15 per mile driven. The second plan has an initial fee of $57.96 and costs an additional $0.13 per mile driven. How many miles would Milan need to drive for the two plans to cost the same?
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Answer:
400
Step-by-step explanation:
hope this helps, have a good day
what's 9 + 10?
Choose the item that applies to the sentence.
order in which actions occur
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Answer:
19
Step-by-step explanation:
IM ON MY SISTER ACC AGAIN AND I NEED HELP!!!
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Answer:
0.4, 4, 40, 400
600, 60, 6, 0.6
Step-by-step explanation:
Answer:
Divide by 10:
600, 60.0, 6.00, 0.6
Multiply by 10:
0.4, 4, 40, 400
When dividing, move the decimal point to the left, when multiplying move the decimal point to the right.
Which expression is equivalent to 2 x + 4 ?
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Answer:
Step-by-step explanation:
GCF of 2x and 4 is 2
2x+ 4 = 2*x + 2*2
= 2*(x + 2)
5 Given the diagram, prove x=23.
(4x) (5x – 27)°
Answers
(92) + (115-27)
(92) + (88) = 180 degrees
