1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
alekssr [168]
3 years ago
12

At which vertex is the objective function C=3x-4y minimized

Mathematics
1 answer:
Oliga [24]3 years ago
3 0

Options

(A) (9,0) (B) (-2,20) (C) (-5,2) (D) (0,-9)

Answer:

(B) (-2,20)

Step-by-step explanation:

Given the objective function, C=3x-4y

The vertex at which C is minimized will be the point (x,y) at which the expression gives the lowest value.

<u>Option A </u>

At (9,0), x=9, y=0

C=3(9)-4(0)=27-0

C=27

<u>Option B </u>

At (-2,20), x=-2, y=20

C=3(-2)-4(20)=-6-80

C=-86

<u>Option C</u>

At (-5,2), x=-5, y=2

C=3(-5)-4(2)=-15-8

C=-23

<u>Option D </u>

At (0,-9), x=0, y=-9

C=3(0)-4(-9)=0+36

C=36

The lowest value of C is -86. This occurs at the vertex (-2,20).

Therefore, the objective function C=3x-4y is minimized at (-2,20).

You might be interested in
Identify the initial amount a and the rate of decay r (as a percent) of the exponential function g(t) = 240(0.75)^t Evaluate the
Xelga [282]

A=240Answer:

Step-by-step explanation:

6 0
2 years ago
Loni’s credit card statement for April showed a membership fee of $85, a late fee of $45, a finance charge of $7.45, and an over
Jlenok [28]

Answer:

$157.45

Step-by-step explanation:

All the amounts provided in the question are supposed to be added as a fee, so if you add all the numbers you would get $157.45.

4 0
3 years ago
State the rule obeyed by the variables in each relation diagram below
labwork [276]

Answer:

y = 2x + 1

Step-by-step explanation:

You can see a pattern in the group of x's that the numbers go up by 1 Also in the y-set that the numbers go up by 2. So this pattern is linear, that means the "rule" you are looking for does not have exponents or square roots or any very complicated stuff. You can use a guess and check method. Say to yourself how can I get a 7 out, when I put a 3 in? "times by2 and plus 1" works.

3 times 2, and plus1

gives you 7.

Test it on the other numbers.

-1 times2, and plus1

2(-1)+1 = -1

2(0)+1 = 1

2(1)+1 = 3

2(2)+1 = 5

It works for all the numbers.

You can calculate it also, using any two pairs of (x,y) from the data set. Put y-y on top of a fraction and x-x on the bottom. You will get the slope and that is the 2 in the "rule"

(3,7) and (2,5) for example. 7-5 so put 2 on top and 3-2 so put 1 on the bottom. 2/1 is just 2. From the point (0,1) we know the y-intercept is 1. This also gives the equation y=2x+1.

If you are just starting to learn this, probably just guess and check a rule. The rule has to work for all the points.

6 0
2 years ago
7. Sylvia made a poster shaped like the triangle shown below. (1 point)
marta [7]
The answer would be 12 inches. I have the most faith in my answer.
7 0
3 years ago
Find the area of this figure (50 points)
Softa [21]

Answer:

A_{total} = 14\ in^2

Step-by-step explanation:

<u>Step 1:  Determine the area of the left rectangle</u>

We can tell that the total shape seems like two rectangles glued together.  We can separate the left rectangle and determine the area of it and then determine the area of the right rectangle and combine them.  Lets first solve the left rectangle.

A = l * w

A_{left\ rectangle} = 2\ in * 4\ in

A_{left\ rectangle}  = 8\ in^2

<u>Step 2:  Determine the area of the right rectangle</u>

A = l * w

A_{right\ rectangle} = 3\ in * 2\ in

A_{right\ rectangle} = 6\ in^2

<u>Step 3:  Determine the total area</u>

A_{total}=A_{left\ rectangle} + A_{right\ rectangle}

A_{total} =  8\ in^2 +  6\ in^2

A_{total} = 14\ in^2

Answer: A_{total} = 14\ in^2

4 0
2 years ago
Read 2 more answers
Other questions:
  • The expression 6x to the second power gives the surface area of a cube, and the expression x to the third power gives the volume
    7·1 answer
  • A ball is thrown upward off of a 100 meter cliff with an initial velocity of
    15·1 answer
  • Deborah has two paintings in her portfolio and paints three more each week.Kai has twelve paintings in her portfolio and paints
    11·1 answer
  • Need help please please
    10·2 answers
  • WILL GIVE BRAINLIEST
    6·1 answer
  • Ryan took out a 66 month loan to pay for a 28500 car.if he paid 33829.50,in total at the end of the loan,find the interest rate
    15·1 answer
  • Cos 0° + cos 1° + cos2° +cos3° +...+cos 179° + cos 180°.
    5·1 answer
  • A map is shown.<br><br> How far is Sandra's house from Johnny's house?
    7·2 answers
  • PLS HELP <br> To make enough energy drink, Jerome needs to multiply by 2 for drink mix and water.
    9·2 answers
  • Given the statement -12 ≤ -15, which of the following is correct? It is a false statement, because -12 is not equal to -15. It i
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!