To solve the linear programming problem using three different methods, let's use the graphical method, the simplex method, and the dual simplex method.
Graphical Method:
Plot the constraints on a graph to visualize the feasible region.
Identify the feasible region, which is the area where all constraints are satisfied.
Calculate the objective function at each corner point of the feasible region.
Determine the corner point that maximizes the objective function.
Simplex Method:
Convert the given linear programming problem into standard form by introducing slack variables.
Set up the initial simplex tableau with the objective function and constraints.
Apply the simplex algorithm to iteratively improve the solution until an optimal solution is reached.
Read the final simplex tableau to obtain the optimal values for x1 and x2 and the maximum value of Z.
Dual Simplex Method:
Convert the given linear programming problem into standard form by introducing slack variables.
Set up the initial simplex tableau with the objective function and constraints.
Apply the dual simplex algorithm iteratively to find an optimal solution or identify infeasibility/unboundedness.
Read the final simplex tableau to obtain the optimal values for x1 and x2 and the maximum value of Z.
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20 POINTS IF YOU ANSWER THE QUESTIONS !!
Answer:
Step-by-step explanation:
Minutes is the x axis, and Distance is the y axis.
At 1 minute it looks like Cassie ran much less than 20 yards and Hector ran much further than 20 yards, so Hector started running faster.
Looking at the y axis at 100yards, it looks like Cassie finished at exactly 5 minutes, but Hector only made it to 80 yards. So Cassie won because it was a 100-yrd race.
You can see Hector stopped and rested for 1 minute once he reached 60-yrds. He stopped after 2 minutes.
Answer:
he is correct and smart
Step-by-step explanation:
if babysitting you make $6 for the first hour and $2.50 for every hour after, how many hours do you
have to work to make $16?
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the
time after launch, x in seconds, by the given equation. Using this equation, find the
maximum height reached by the rocket, to the nearest tenth of a foot.
y = -16x2 + 119x + 73
Answer:
294.3 ftStep-by-step explanation:
Given function
y = -16x^2 + 119x + 73This is quadratic function
It reaches the maximum value at vertex, which is calculated by the formula:
x = -b/2aSubstituting values
x = -119/2*(-16) = 3.71875y-value of same point is
y = -16*3.71875^2 + 119*3.71875 + 73 = 294.265625 ≈ 294.3 ftSo maximum height is 294.3 ft
The equation we have is:
[tex]y = { - 16x}^{2 } + 119x + 73[/tex]
This is equation of a parabola that opens down.
To find the maximum point or the maximum height, we need to find the vertex of the parabola.
First, let's define variables:
A will be the coefficient of the x squared.
b is the coefficient of the x and
C is the independent term:
[tex]a = - 16 \\ b = 119 \\ c = 73[/tex]
The vertex of will have the following x coordinate:
[tex]x = - \frac{b}{2a} [/tex]
Substituting the values of a and b:
[tex]x = - \frac{119}{2( - 16)} [/tex]
Solving the operations:
[tex]x = - \frac{119}{ - 32 } \\ x = 3.71875[/tex]
The next step is to substitute this x value into our equation to find the maximum height y:
[tex]y = { - 16x}^{2} + 119x + 73 \\ \\ substituting \: x = 3.71875 \\ \\ y = - 16(3.71875)^{2} + 119(3.71875) + 73[/tex]
Solving the operations:
[tex]y = - 16(13.8291) + 442.49555 + 73 \\ \\ y = 294.23[/tex]
Rounding to the nearest tenth (1 decimal place)
y=294.2
Answer: 294.2 feet.
What is 8.04 × 101?
0.804
8.04
8.4
80.4
Answer:
812.04
Step-by-step explanation:
Answer:
812whdbniyqwteyw9q08uehb
Step-by-step explanation:
idkfu
Look at image please help I’m struggling
Answer:
1.50
Step-by-step explanation:
if you look at the placemend of the points when 3 was on the y 2 was on the x. When 1 is on the x the y is 1.5. Sorry if I’m too late
Expand and simplify each of the following expressions.
(a) −2 ( – 5 + 7)
(b) ( + 3ℎ )( 5ℎ – 4)
(c) (2 + 3)( – 5) – ( 3 + 7)( – 7)
Please help me in these questions.
Alexis babysits for two families. Mr. and Mrs. Cox pay her $5 an hour to babysit for their daughter Mia. Mr. and Mrs. Stevens pay Alexis $9 an hour to babysit
for their children Jonathan, Beth, and Joshua.
Part Ause the variable x for the number of hours Alexis babysits for the Cox family. Write an equation to represent the amount she earns babysitting for this
family.
Answer:
I'll just answer all three for you. Part A: y=5x+0 Part B: $32.50. Part C: 9 hours and 30 minutes.
Step-by-step explanation:
Part A: The $5 is the independent variable, because it adds every hour. So the equation is y=5x+0, because hse starts with no money at the begginning.
Part B: 5x6.5=32.50.
Part C: 5x9.5=47.50
what is 5/8 divided by 1/4
2/5
3/4
1 1/4
2 1/2
Find the equation of the line with slope = 2 and y-intercept = -8.
Answer: d
Step-by-step explanation:
Using the linear equation y=mx+b, you are given m (the slope) and b (the y-intercept). m=2 and b=-8. Therefore, y=2x-8
PLease answer ASAP thank you
Answer:
It 12 units!!!!
Step-by-step explanation:
-8+8=0
0+4=4
8+4=12!!!
gl ;)
please help asap I need help I am being timed
2
y=--x-2
3
Graph it
Answer:
Step-by-step explanation:
Y=-2/3x-2
I cant truly graph it but the coordinates would be (0,-2) (3,-4) (6,-6) (9,-8)
Solve for X pleaseeee
Answer:
The answer is fifteen because 24 divided by 8 is 3 and 5 x 3 is 15
Two times the sum of a number and 8 subtracted from the number equals 6. What is the number that makes this statement true?
Answer:
7
Step-by-step explanation:
let the no. be 'x'
By question,
2x-8=6
or, 2x =6+8
or,2x = 14
or,x = 7
therefore, the no. is 7.
Find the square root.
−√1/900 =
Answer:
-1/30
Step-by-step explanation:
This should be correct because I plugged it into a calculator
What is the slope and y intercept
Answer:
The slope is 1
The y-intercept is 2
Step-by-step explanation:
Hope this helps, mind giving me the brainliest? :)
Answer:
You h
Step-by-step explanat
1 is the slope, and 2 is the y intercept. TRUST ME.
A series of properties, rules, or laws associated with mathematical operations and equality. *
Answer: Operations properties
Step-by-step explanation:
Operations properties are a series of properties, rules, or laws associated with mathematical operations and equality.
There are 4 operations properties namely: Commutative(applies to addition), Associative (also applies to addition), Distributive (applies to addition and multiplication) and Identity (applies to addition and multiplication).
Solve −2(2x + 5) − 3 = −3(x − 1)
Answer:
x= -16
Step-by-step explanation:
distribute -2
-2 * 2x =-4x
-2 * 5 = -10
-4x - 10 -3 = -3 (x-1)
distribute -3
-3 * x = -3x
-3 * -1 = 3
-4x - 10 -3 = -3x + 3
combine like terms
-4x -13 = -3x + 3
-4x + 3x = -x
3 + 13 = 16
-x = 16
divide by -1
x = -16
Answer:
x = -16
Step-by-step explanation:
-2(2x + 5) - 3 = -3(x - 1)
-4x - 10 - 3 = -3x + 3
-4x - 13 = -3x + 3
-x = 16
x = -16 <--- This is the answer
Hope this helps!
Andy used a scale of inch = 2 feet for a drawing of his house. On the
2
drawing, a rectangular room measures 3 inches by 2 inches. Andy
wants to purchase new carpet for the room that costs $4.89 per square
foot. Before sales tax, how much will the new carpet cost?
Answer:
$117.36
Step-by-step explanation:
The room is 3 by 2 inches, so to convert this to feet you need to multiply both by 2. This is because the scale is one inch equals two feet.
3 x 2 = 6
2 x 2 = 4
The room is 6 by 4 feet. Find the Area of the room by multiplying these two numbers together
6 x 4 = 24
The room is 24 ft^2. If the carpet costs $4.89 per square foot, just multiply the cost by the area of the room.
24 x 4.89 = 117.36
The cost to carpet the room is $117.36
Let f(x) = 5 - x and g(x) = 2x - 1. Perform the following operation: (f + g)(-2).
Answer:
(f + g)(-2) = 2
Step-by-step explanation:
Step 1: Define
f(x) = 5 - x
g(x) = 2x - 1
Step 2: Find (f + g)(x)
(f + g)(x) = 5 - x + 2x - 1
(f + g)(x) = x + 4
Step 3: Find (f + g)(-2)
(f + g)(-2) = -2 + 4
(f + g)(-2) = 2
How do I find the sum of the measures of the marked angles?
Answer:
The sum of the marked angles = Total angles on the 4 straight lines – Sum of the interior angles of the quadrilateral. Sum of interior angles of polygon of 4 sides = (4 – 2) *1800 =3600
Hence, sum of the marked angles = 4 * 180° – 360° = 720° – 360° = 360°
Step-by-step explanation:
Hope it helps
Lori works as a cartoonist for a teen magazine. The time she spends sketching is given by the equation m = 12s, where m is the number of minutes and s is the number of sketches.
If Lori made of a sketch, she spent
minutes sketching
Answer:
12 divided by m
Step-by-step explanation:
Match the following.
1. composite number
2. prime factor
3. prime number
4. greatest common factor
5. factor
A. a whole number greater than one that has exactly two positive factors: one and itself
B. a whole number greater than one that has more than two positive factors
C. a prime number that divides evenly into a given number
D. the largest number that divides evenly into two or more given numbers
E. a number that divides evenly into a given number
Answer:
A-3, B- 1, C- 2, D- 4, E- 5Step-by-step explanation:
A. a whole number greater than one that has exactly two positive factors: one and itself
3. prime numberB. a whole number greater than one that has more than two positive factors
1. composite numberC. a prime number that divides evenly into a given number
2. prime factorD. the largest number that divides evenly into two or more given numbers
4. greatest common factorE. a number that divides evenly into a given number
5. factorAnswer:
a-3
b-1
c-2
d-4
e-5
Step-by-step explanation:
a whole number greater than one that has exactly two positive factors: one and itself= prime numbera whole number greater than one that has more than two positive factors= composite numbera prime number that divides evenly into a given number= prime factorthe largest number that divides evenly into two or more given numbers= greatest common factora number that divides evenly into a given number= factor34 x + 95 = 3(14 x + 9)
Answer:
Exact Form:
x=17/2
Decimal Form:
x=8.5
Mixed Number Form:
x=8 1/2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Hope this helps :)
Find the slope of a line that passes through the points (-5,8) and (9,3)
[tex]m=\frac{y2-y1}{x2-x1}\\ m=\frac{3-8}{9-(-5)}\\\\ m=\frac{-5}{9+5}\\\\ m=\frac{-5}{14}\\\\ m=-\frac{5}{14}\\[/tex]
Therefore, the slope of the line is m = -5/14
sovle number 8 pls and thankyou
Answer:
1/3125
Step-by-step explanation:
5^-2-3
=5^-5
=
1/5^5
= 1/3125
Shawna wants to draw a scaled copy of her yard. Her yard is a rectangle with length 5cm and width 6cm. Name the dimensions of the scale drawing of the yard, using a scale of 1cm = 25 m. The length across Shawna's trampoline is 3m. How long should this length be be on the drawing? Shawna's garden has the dimensions of 1cm by 1cm. What is the actual area of her garden?
Step-by-step explanation:
Given that the scale of the drawing is
1cm = 25 m
also given that Shawna's trampoline is 3m
on drawing it will be
1cm-----25m
xcm----3m
cross multiply we have
x=3/25
x=0.12cm
Also given that Shawna's garden has the dimensions of 1cm by 1cm
the actual area would be 25m*25m
area= 625m^2
Rachel was answering #4 on the last mini assessment
and below is her answer. What was the mistake she
made?
Evaluate the expression a + b-C, a = 0, b = 8, and c = -6.
a + b-C
0 + 8 - 6
2
What did she do wrong?
Answer:
What she did wrong, was 6 is a negative number, and she subtracted it like a positive. The real answer is 14
Step-by-step explanation:
Sorry if this is sloppy, I was using a touchpad on a chromebook
Please Help!! Brainliest Answer! Thank you
Answer:
A
Step-by-step explanation:
O = 26.6
P is a right angle so:
P = 90
angles PQO = 180
To determine Q: triangle total - (P + O)
180 - (90 + 26.6)
180 - 116.6 = 63.4
Q = 63.4
To determine side lengths: a^2 + b^2 = c^2
4^2 + b^2 = c^2
*Variable c is always hypotenuse*
Need more information so find either b or c through SOH, CAH, TOA
SOH: sine = opposite/hypotenuse
CAH: cos = adjacent/hypotenuse
TOA: tan = opposite/adjacent
tan26.6/1 = b/4
Cross multiply
1 × b = 4 × tan26.6
b = 4tan26.6
b = 2.003050791
b is about 2
b = PQ
PQ = 2
Plug b value into pythagorean theorm
4^2 + 2^2 = c^2
16 + 4 = c^2
20 = c^2
square root of 20 = square root of c^2
4.47213.... = c
c is about 4.47
c = QO
Answer:
A. ∠Q = 63.4°, PQ = 2, PQ = 4.47Step-by-step explanation:
∠Q = 180 - 90 - 26.6
∠Q = 63.4°
side PQ
use opp. = tanФ (adj.)
PQ = tan(26.6) x 4
PQ = 2
side QO
use Pythagorean
PQ² = PO² + PQ²
PQ² = 4² + 2²
PQ = [tex]\sqrt{16 + 4}[/tex]
PQ = 4.47
My messaging aren't working. What do i do to fix it because every time it says i have a message i look and it's not their.
Answer:
This happens to me also. When i click on it it can say go to inbox and sometimes it will show up there. If not then it will sometimes transfer the ¨messages ¨ into your regular notifications with the bell symbol.
Step-by-step explanation:
Hope this helps
