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
Llana [10]
3 years ago
8

Find the minimum value of the region formed by the system of equations and functions below.

Mathematics
1 answer:
Naily [24]3 years ago
7 0

Answer:

  A.  -12

Step-by-step explanation:

A graph shows the vertices of the feasible region to be (0, 6), (3, 0) and (0, -3). Of these, the one that minimizes f(x, y) is (0, -3). The minimum value is ...

  f(0, -3) = 3·0 + 4(-3) = -12

_____

<em>Comment on the graph</em>

Here, three regions overlap to form the region where solutions are feasible. By reversing the inequality in each of the constraints, <em>the feasible region shows up on the graph as a white space</em>, making it easier to identify. The corner of the feasible region that minimizes the objective function is the one at the bottom, at (0, -3).

You might be interested in
Can u pls help me i am really stuck this is a geo problem pls get to me as soon as possible thanks.
crimeas [40]
This might not be super helpful but it’s either 50 or 130. Sorry i haven’t done this for a while!!
5 0
3 years ago
Read 2 more answers
What is the amount of a $4,000.00 annuity due at 12 percent compounded semiannually for 3 years?
Dmitriy789 [7]

Answer:

$ 5674.076

Step-by-step explanation:

The question is on compound interest

The formulae = A= P(1+ r/n) ^nt .......where P is the principal amount, r is the rate of interest in decimal, n is number of compoundings per year and t is the total number of years.

Given; P= $4,000.00 , r=12/100=0.12, n=2 and t=3

Substituting values in the equation  A= P(1+ r/n) ^nt

A= 4000 ( 1+0.12/2)^2×3

A=4000(1.06)^6

A=$ 5674.08

3 0
3 years ago
Graph the line with slope 1/4 and y-intercept -8
kherson [118]

Solution: Below! ^^

Detailed explanation:

Hii! I'm sorry, I can't graph the line for you, but I'll try to give you the best possible explanation.

First, note that the question provides us with the info that the y intercept is -8. This is a very valuable piece of information!

This means that the line crosses the y axis (since it's the y intercept) at the point (0,-8). Plot it on the co-ordinate plane.

Next, this question also provides us with the fact that the slope of the line is 1/4. This is yet another valuable piece of information!

What this tells us is: from that point (0,-8), you need to go up 1 unit, then over 4, and so forth, until you obtain a line.

_________

Hope I helped, best wishes & happy studies!

Please reach out to me if any queries arise.

_________

5 0
2 years ago
Read 2 more answers
During his workouts last week, Allen jogged the same amount of time each day for 6 days. Use the following information to determ
Nataly [62]
He rode his bike 45 minutes each day:
45x6 = 270 total time cycled

Jogging time = total workout time - cycle time/6

360-270= 90/6= 15 minutes jogged each day

8 0
3 years ago
Which function represents the graph
natulia [17]

Answer:

A

Step-by-step explanation:

the function is moved up by 8 on the y axis which means you need a +8 that isn't directly attached to the x

4 0
3 years ago
Other questions:
  • One catcher's mitt and 10 outfielder's gloves cost $239.50. How much does each item cost if 1 catcher's mitt and 5 outfielder's gl
    8·1 answer
  • a strawberry has a mass of 18 grams.if there are 10 strawberries,what is the total mass of all the strawberries
    14·2 answers
  • What are rational exponents, and how are they related to integer exponents?
    11·1 answer
  • A square playground has an area of 169 square yards. There is a fence along one side of the playground. How long is the fence? T
    14·2 answers
  • Milli plans to rent a room for her birthday party for $40
    13·2 answers
  • jenny had some candy to give to her three children she first took nine pieces for herself and then evenly divided the rest among
    7·1 answer
  • Of the 600 workers at a factory, 8.5% belong to a union. how many workers are in the Union?
    10·2 answers
  • Select each solution of y+4&lt;−2
    11·1 answer
  • 20. Travel The graph shows the costs of a hotel for one night for a
    5·1 answer
  • E2
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!