a) (4) Harry's indifference curve for popcorn (X1) and butter (X2) is U=min(X1, 3X2). Sketch two indifference curves. Make sure your axes and intercepts are labeled. b) (3) True or False and explain:
Answers
To sketch two indifference curves for Harry's indifference curve equation U = min([tex]X_1[/tex] , 3[tex]X_2[/tex] ), we need to plot the relationship between popcorn ([tex]X_1[/tex] ) and butter ([tex]X_2[/tex] ) while considering different levels of utility.
First, let's consider two specific utility levels and find the corresponding values of [tex]X_1[/tex] and [tex]X_2[/tex] .
Indifference Curve 1: U = min([tex]X_1[/tex] , 3[tex]X_2[/tex] ) = 2
To find the values of [tex]X_1[/tex] and [tex]X_2[/tex] that yield a utility level of 2, we can set [tex]X_1[/tex] = 2 and 3[tex]X_2[/tex] = 2, which gives [tex]X_2[/tex] = 2/3.
So, one point on Indifference Curve 1 is ([tex]X_1[/tex] = 2, [tex]X_2[/tex] = 2/3).
Indifference Curve 2: U = min([tex]X_1[/tex] , 3[tex]X_2[/tex] ) = 4
Similarly, to find the values of [tex]X_1[/tex] and [tex]X_2[/tex] that yield a utility level of 4, we set [tex]X_1[/tex] = 4 and 3[tex]X_2[/tex] = 4, which gives [tex]X_2[/tex] = 4/3.
So, one point on Indifference Curve 2 is ([tex]X_1[/tex] = 4, [tex]X_2[/tex] = 4/3).
Now, we can plot these two points on a graph with [tex]X_1[/tex] 1 on the x-axis and [tex]X_2[/tex] on the y-axis. Here's a sketch of the indifference curves.
The first indifference curve (U = 2) is a straight line with a slope of 1, passing through the point (2, 2/3).
The second indifference curve (U = 4) is also a straight line with a slope of 1, passing through the point (4, 4/3).
Please note that these are just two points on the indifference curves, and the curves themselves continue beyond these points. The indifference curves represent different levels of utility, with higher curves indicating higher utility levels.
It's important to remember that these curves are based on the given utility function U = min([tex]X_1[/tex] , 3[tex]X_2[/tex] ), which implies that Harry's preference is to have at least as much popcorn as 3 times the amount of butter.
Correct Question :
Harry's indifference curve for popcorn ([tex]X_1[/tex] ) and butter ([tex]X_2[/tex] ) is U=min([tex]X_1[/tex] , 3[tex]X_2[/tex] ). Sketch two indifference curves. Make sure your axes and intercepts are labeled.
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Related Questions
1/2 + 2/3 divided by 1/6
Answers
Answer:
4 1/2
Step-by-step explanation:
Step 1:
1/2 + 2/3 ÷ 1/6 Equation
Step 2:
1/2 + 2/3 × 6/1 Flip the Fraction
Step 3:
1/2 + 2/1 × 2/1 Simplify
Step 4:
1/2 + 4 Multiply
Answer:
4 1/2 Add
Hope This Helps :)
Table^^
Mr.Tobias says that he can travel farther on 5 gallons of gasoline using his motorcycle than he can 15 gallons using his car. Is he correct? Explain
Answers
Answer:
No
Step-by-step explanation:
The car drives 28.5 miles per gallon
The Motorcycle drives 64.0 miles per gallon
28.5 miles x 15 gallons = 427.5
64 miles x 5 gallons = 320
The motorcycle goes longer per gallon, but for the ratio given, the Car is better.
PLEASE HELP NOW !!!!!!!!! Please answer blank spaces with the correct answers, I will literally do anything in return, I can cashapp you or whatever, JUST PLEASE HELP ME!! Asking nicely :)
Answers
Answer:
You can Ask nicely about that,
we are not doing your homework for you.
if you have question, put it on the question.
not giving us a doc.
We do not want anything returned
Thankyou
Answer:
All results in the explanation
Step-by-step explanation:
To make the equation of the line, we only need two points. Select from the table the points (-1,4) and (3,9).
First, find the slope of the line:
We know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
\begin{gathered}\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\\\end{gathered}m=x2−x1y2−y1
Substituting:
\displaystyle m=\frac{9-4}{3+1}=\frac{5}{4}m=3+19−4=45
This value is used in the slope-point form of the line:
\displaystyle y-k=\frac{5}{4}(x-h)y−k=45(x−h)
Where (h,k) is a point from the table, select for example (3,9):
\displaystyle y-9=\frac{5}{4}(x-3)y−9=45(x−3)
Operate:
\displaystyle y=\frac{5}{4}\cdot x-\frac{5}{4}\cdot 3+9y=45⋅x−45⋅3+9
\displaystyle y=\frac{5}{4}\cdot x+\frac{-15+36}{4}y=45⋅x+4−15+36
The equation of the line is:
\boxed{\displaystyle y=\frac{5}{4}\cdot x+\frac{21}{4}}y=45⋅x+421
Now complete the table.
For x=0:
\displaystyle y=\frac{5}{4}\cdot 0+\frac{21}{4}y=45⋅0+421
y=\frac{21}{4}y=421
For x=15
\displaystyle y=\frac{5}{4}\cdot 15+\frac{21}{4}y=45⋅15+421
\displaystyle y=\frac{75}{4}+\frac{21}{4}=\frac{96}{4}=24y=475+421=496=24
y=24
For y=1.5, find x:
\displaystyle 1.5=\frac{5}{4}\cdot x+\frac{21}{4}1.5=45⋅x+421
Operate:
\displaystyle 1.5-\frac{21}{4}=\frac{5}{4}\cdot x1.5−421=45⋅x
Multiply by 4:
\displaystyle 6-21=5 x6−21=5x
Solve:
x=-15/5=-3x=−15/5=−3
x=-3
write an equation in point slope form and change into slope intercept form
m= -4 contains (0,3)
explain the work plz
Answers
Answer:
y -3 = -4(x -0) or y -3 = -4xy = -4x +3Step-by-step explanation:
The point-slope form of the equation of a line with slope m through point (h, k) is ...
y -k = m(x -h)
Fill in the given values:
y -3 = -4(x -0) . . . . point-slope form of the equation of the line
__
To get this to slope-intercept form, you want to rearrange it to ...
y = mx + b
Eliminating parentheses get you ...
y -3 = -4x
Adding 3 puts the equation in the desired form:
y = -4x +3
Stacey has -$17 in her bank account. She spends $35 at a clothing store and another $7 at the farmer’s market. What is her new bank account balance?
Answers
Answer:
-$59
Step-by-step explanation:
Stacey started out with -$17 in her bank account.
35 + 7 = 42
Stacey spent $42 dollars in total.
-17 - 42 = -59
Stacey should have -$59 as her new bank account balance.
Hope this helps.
Given b(x) = |x+4], what is b(-10)?
-10
-6
8
14
Answers
Answer:
b(-10) = 6
Step-by-step explanation:
Step 1: Define
b(x) = |x + 4|
b(-10) is x = -10
Step 2: Substitute and Evaluate
b(-10) = |-10 + 4|
b(-10) = |-6|
b(-10) = 6
1. find the y-intercept of (2, 7) and (-4, -2)
2. Find the y-intercept of (-7, 0) and (-3, 6)
3. Find the y-intercept of (6, 0) and (9, -2)
Please help I am struggling with y-intercept, I need one point for each question so I can graph it. It’s due by 10:30 pm tonight
Answers
Answer:
1. 4, 2. 9
Step-by-step explanation:
1. you graph both points and draw lines between them.
2. find the slope
3. if you're too lazy to find the slope, keep drawing the line until it hits the Y line.
4. find the number the line lands on
5. thats ur answer buckaroo
If the price of a 7-pound bag of dried black beans is $9.80. which of the following statements is
true?
Answers
write an equation in point slope form of the line that passes through the point (-3,6) and has a slope of 5
Answers
Answer:
y=5x+6
Step-by-step explanation:
use the equation y=mx+b
m=slope and b=y-intercept
You can go ahead and insert 5 into the equation because we know that the slope of the line is 5. for b. the y-intercept, we know that points are in (x,y) form so we can infer that -3 is the x and 6 is the y. from here you can plug in the number 6 for b and there's your equation. hope this helps!!
The required equation of the line for given slope and point is y = 5x + 21.
What is the slope of straight line?The slope of a straight line is the tangent of the angle formed by it with the positive x axis as the reference.
The negative slope indicates the rate of decrease while the positive shows the rate of increase.
The given point and slopes are (-3, 6) and 5 respectively.
The equation of the line can be written by plugging all the values in y = mx + c as follows,
6 = -3 × 5 + c
⇒ c = 21
Thus, the equation can be written for m = 5 and c = 21 as below,
y = 5x + 21
Hence, the equation of the line in point slope form is given as y = 5x + 21.
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Is the line through points P(3, –5) and Q(1, 4) parallel to the line through points R(–1, 1) and S(3, –3)? Explain. a No; the lines have unequal slopes. b Yes; the lines have equal slopes. c No; one line has zero slope, the other has no slope. d Yes; the lines are both vertical.
Answers
Answer:
3
Step-by-step explanation:
The Answer would be Option A) No, the lines have unequal slopes.
What is the slope of a line which passes through points ( p,q) and (x,y)?Its slope would be:
[tex]m = \dfrac{y-q}{x-p}[/tex]
Slope of parallel lines are same. Slopes of perpendicular lines are negative reciprocal of each other.
Slope of first line,
[tex]m = \dfrac{y-q}{x-p}\\\\m = \dfrac{4-(-5)}{1-3}\\\\m = \dfrac{9}{-2}[/tex]
Slope of second line,
[tex]n = \dfrac{y-q}{x-p}\\\\n = \dfrac{-3-1}{3-(-1)}\\\\n = -1[/tex]
Thus, The Answer would be Option A) No, the lines have unequal slopes.
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If 5-y^2=x^2 then find d^2y/dx^2 at the point (2, 1) in simplest form.
Answers
Answer:
y"(2, 1) = -5
Step-by-step explanation:
Step 1: Define implicit differentiation
5 - y² = x²
Step 2: Find dy/dx
Take implicit differentiation: -2yy' = 2xIsolate y': y' = 2x/-2yIsolate y': y' = -x/yStep 3: Find d²y/dx²
Quotient Rule: y'' = [y(-1) - y'(-x)] / y²Substitute y': y" = [-y - (-x/y)(-x)] / y²Simplify: y" = [-y - x²/y] / y²Multiply top/bottom by y: y" = (-y² - x²) / y³Factor negative: y" = -(y² + x²) / y³Step 4: Substitute and Evaluate
y"(2, 1) = -(1² + 2²) / 1³
y"(2, 1) = -(1 + 4) / 1
y"(2, 1) = -5/1
y"(2, 1) = -5
1) Solve the Equation
-64 = 4(V – 10)
Answers
Answer:
-64=4v-40
4v= -40+64
4v=24
Divide both sides by 4
v=6
Step-by-step explanation:
A race track is made from two straights and two semicircles. The straights are 80m long. The race track has a total perimeter of 400m.
Calculate the distance,d, between the two straights.
Answers
Answer:
76.4 m
Step-by-step explanation:
The race track has two straights and two semi circles.
Each straight is 80m
total perimeter for the straights is 80 * 2 = 160m
two semi circles which creates a full circle
perimeter of a full circle = [tex]\pi[/tex] d
NB : (d) is the diameter
therefore we can find the value of the diameter
400 = 160 + [tex]\pi[/tex] d
400- 160 = [tex]\pi[/tex]d
240 = [tex]\pi[/tex]d
d = 240/[tex]\pi[/tex]
d = 76.394.....
d = 76.4 m
Hint: 1 mile = 5280 feet
Answers
Answer: 4 miles
Step-by-step explanation:
A baker buys three cartons each with 6 eggs, two cartons each with 12 eggs, and twenty cartons each with 18 eggs. Which expression represents the problem? (3 + 6) x (2 + 12) x (20 + 18) (3 x 6) + (2 x 12) + (20 x 18) (25 + 6) x (25 + 12) x (25 + 18) (25 x 6) + (25 x 12) + (25 x 18)
Answers
Answer:
(3 x 6) + (2 x 12) + (20 x 18)
Step-by-step explanation:
Number of cartons containing 6 eggs [tex]=3[/tex]
Number of cartons containing 12 eggs [tex]=2[/tex]
Number of cartons containing 18 eggs [tex]=20[/tex]
So,
expression that represents the problem is given by
Number of cartons containing 6 eggs + Number of cartons containing 12 eggs + Number of cartons containing 18 eggs = (3 x 6) + (2 x 12) + (20 x 18)
find value of each of the following 13-(54)
Answers
Answer:
-41
Step-by-step explanation:
13 - (54) simplifies to 13 - 54, which in turn is -41.
What is the first operation to use to simplify the expression 3,500/ (34+8x2) -4
Answers
Parentheses- multiply 8 and 2 then add 34.
Answer:
x
Step-by-step explanation:
PLEASE HELP MEEEEEE!!!!WORTH 30 POINTS!!
Answers
Answer:
I MESSED UP ITS B.
Step-by-step explanation:
Which of the equations below represents the first step of the solution process?
Given: 5(6x+4)+1=−39
Step 1:?
Step 2: 30x+21=−39
Step 3: 30x=−60
Step 4: x=−2
A. 5(6x+1)+4=−39
B. 30x+4+1=−39
C. 5(6x+1)=−39
D. 30x+20+1=−39
Answers
Answer:
D
Step-by-step explanation:
it may help you to understand.
Answer:
D, 30x+20+1=-39
Step-by-step explanation:
since you first
A ladder leans against a brick wall. The foot of the ladder is 6 feet from the wall. The ladder reaches a height of 15 feet on the wall. Find to the nearest degree, the angle the ladder makes with the wall.
Answers
Answer:
23 i believe
Step-by-step explanation:
3x - 6 = 2 - 5x how do i get x
Answers
Answer:
x=0.875
Step-by-step explanation:
3x-6=2-5x
Add 6 on both sides (6+2)
2x=8-5x
Add 5x on both sides
7x=8
Divide 7 from both sides
x=0.875
there are two answers to |x − 2| − 8 = 10
Answers
Answer:
x=20, x=-16
Step-by-step explanation:
|x-2|-8=10
|x-2|=18
x-2=18 x-2=-18
x=20 x=-16
help me
Which statement is true about the fraction 5/75 ? Check all that apply.
Multiplying the numerator and the denominator by 12 will give the fraction a denominator of 1,000 so it can be easily converted to a decimal.
To determine its decimal equivalent, 75 can be divided by 5.
The fraction can be reduced before converting it into a decimal.
The decimal equivalent is a terminating decimal.
The decimal equivalent is a repeating decimal.
Answers
Answer:
TRUE; The fraction can be reduced before converting it into a decimal.
TRUE; The decimal equivalent is a repeating decimal.
Step-by-step explanation:
FALSE; Multiplying the numerator and the denominator by 12 will give the fraction a denominator of 1,000 so it can be easily converted to a decimal. (75 x 12 = 900 and not 1,000)
FALSE; To determine its decimal equivalent, 75 can be divided by 5. (75 divided by 5 = 15)
TRUE; The fraction can be reduced before converting it into a decimal (5 divided by 5 = 1 & 75 divided by 5 = 15 so 5/75 = 1/15)
FALSE; The decimal equivalent is a terminating decimal. (5/75 = 0.06666666)
TRUE; The decimal equivalent is a repeating decimal. (5/75 = 0.0666666666)
WILL MARK YOU BRAINLIEST NO GUESSES!!!! The options are
A 2:3
B 3:2
C 2:5
D 3:5
Answers
Answer:
C 2:5
Step-by-step explanation:
What is the solution to the equation 2x-7=-=x+3? Why?
2
Answers
2x-7=x+3
-x -x
x-7 = 3
+7 +7
x=10
subtract x on both sides
add 7 on both sides
A grocery store sells a bag of 5 oranges for $3.10 if Levi spent $2.48 on oranges, how many did he buy
Answers
Answer:
4 oranges
Step-by-step explanation:
3.10 ÷ 5 = .62
.62 × 4 = 2.48
Explanation- $3.10/ 5= 0.62 ( the cost of each orange )
To find the amount of oranges you got when the price is $2.48, you do this:
$2.48/0.62= 4
Determine whether the given ratios are equal or not: 3:2 and 48:32
Answers
Answer:
They are equal.
Step-by-step explanation:
You could use the butterfly method, just set up both ratios as fractions, and multiply them diagonally.
3/2=48/32
Step 1. 48*2=96
Step 2. 32*3=96
Answer:
Yes the ratios are equal.
Step-by-step explanation:
If we simplify 48:32 as a fraction we will get the answer as 3:2.
So, 3:2 = 48:32.
I hope it helps you.... :):)
Please help me it is needed
Answers
Answer:
B:distinct parellel lines
Step-by-step explanation:
There is a competition at the local movie theater for free movie tickets. You must guess all four employees' ages given a few clues. The first clue is when their ages are added together the sum is Kirk is 2 times the quantity of ten years less than the manager's age, Brian is 12 years younger than twice the manager's age, ,and Matt is 6 years older than ½ the manager's age. What are all four of their ages? Be sure to show set up equation work and answer
Answers
Complete question :
There is a competition at the local movie theater for free movie tickets. You must guess all four employees' ages given a few clues. The first clue is when their ages are added together the sum is 106. Kirk is 2 times the quantity of ten years less than the manager's age, Brian is 12 years younger than twice the manager's age, ,and Matt is 6 years older than ½ the manager's age. What are all four of their ages? Be sure to show set up equation work and answer
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following clue :
Let manager's age = m
Kirk's age = k
Brian's age = b
Matt's age = a
Sum of their ages = 106
k = 2(m - 10) = 2m - 20
b = 2m - 12
a = 0.5m + 6
k + b + a + m = 106
Express all their ages in terms of m
2m - 20 + 2m - 12 + 0.5m + 6 + m = 106
5.5m - 20 - 12 + 6 = 106
5.5m - 26 = 106
5.5m = 106 + 26
5.5m = 132
m = 132 / 5.5
m = 24
Manager's age = 24 years
kirk = 2(24 - 10) = 2(14) = 28 years
Brian = 2(24) - 12 = 48 - 12 = 36 years
Matt = 0.5(24) + 6 = 12 + 6 = 18 years
I NEED HELP ASAPPPP‼️‼️‼️
SOMEONE PLEASE HELP ME WITH THIS QUESTION‼️‼️‼️
AND I PROMISE YOU I WILL AWARD YOUR ANSWER AS BRAINLIEST ANSWER❤️❤️‼️‼️
Answers
Answer:
40 degrees
Step-by-step explanation:
Mark me as brainliest
Answer:
First find the angle next to 110 °
110+?=180 (linear pair)
? = 180-110
? = 70
Since the triangle is isosceles, the bottom two angles are 70 °.
Now, to find x....
All interior angles of a triangle equals 180°.
180 = 70+70+x
180 = 140+x
x = 180-140
x = 40
