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
igomit [66]
3 years ago
8

Using a graphical approach, to determine the type of the problem,suggest a strategy to avoid the problem( if any), maximize 10X+

10Y subject to : 2X+4Y=< 16 2X=<10
4Y=<8 X=6

Mathematics
1 answer:
Snezhnost [94]3 years ago
3 0

Answer:

No solution. Inconsistent.

Step-by-step explanation:

The equations are

2x+4y\leq 16\\x\leq 5\\y\leq 2\\x=6

As we can see here that x=6 and x<=5 the solution area will not be bounded i.e., there will be no common area.

The lines do not intersect

Therefore there will be no solution.

Plotting the equations we get the graph below.

A strategy to avoid the question would be by just looking at the linear equations. It can be clearly seen that there are two lines that will never intersect and hence will have no solution.

You might be interested in
Only 5-8 It’s Probability
andrey2020 [161]
For starters, the probability of finding any of these colors is a 50/50 type of thing, or in this case, an equal quarter. So each would be 1/4, or 25%. Unless, of course, they're lying about having one or more colors of marbles in their possession. But I'm answering under the assumption that they're not.
3 0
3 years ago
Given sin x = -4/5 and x is in quadrant 3, what is the value of tan x/2
love history [14]

bearing in mind that, on the III Quadrant, sine as well as cosine are both negative, and that hypotenuse is never negative, so, if the sine is -4/5, the negative number must be the numerator, so sin(x) = (-4)/5.


\bf sin(x)=\cfrac{\stackrel{opposite}{-4}}{\stackrel{hypotenuse}{5}}\impliedby \textit{let's find the \underline{adjacent}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{5^2-(-4)^2}=a\implies \pm\sqrt{9}=a\implies \pm 3=a \\\\\\ \stackrel{III~Quadrant}{-3=a}~\hfill cos(x)=\cfrac{\stackrel{adjacent}{-3}}{\stackrel{hypotenuse}{5}} \\\\[-0.35em] ~\dotfill

\bf tan\left(\cfrac{\theta}{2}\right)= \begin{cases} \pm \sqrt{\cfrac{1-cos(\theta)}{1+cos(\theta)}} \\\\ \cfrac{sin(\theta)}{1+cos(\theta)}\qquad \leftarrow \textit{let's use this one} \\\\ \cfrac{1-cos(\theta)}{sin(\theta)} \end{cases} \\\\[-0.35em] ~\dotfill

\bf tan\left( \cfrac{x}{2} \right)=\cfrac{~~\frac{-4}{5}~~}{1-\frac{3}{5}}\implies tan\left( \cfrac{x}{2} \right)=\cfrac{~~\frac{-4}{5}~~}{\frac{2}{5}}\implies tan\left( \cfrac{x}{2} \right)=\cfrac{-4}{5}\cdot \cfrac{5}{2} \\\\\\ tan\left( \cfrac{x}{2} \right)=\cfrac{-4}{2}\cdot \cfrac{5}{5}\implies tan\left( \cfrac{x}{2} \right)=-2

4 0
4 years ago
Read 2 more answers
Write an equation in point slope form that passes through (-14, - 6) and the<br> slope is 2/3
s344n2d4d5 [400]

Answer:

y=2/3x - 6

Step-by-step explanation:

use the formula y=mx+b. the m of this equation is equal to the slope and you know that the slope is 2/3. the b of the equation is equal to the y-intercept so, to find b you simply look at the points given. the points are written in (x,y) form so if -14 is x, -6 must be y. remember to KEEP CHANGE CHANGE your signs so that plus sign becomes negative 6. Hope this helps!

8 0
4 years ago
Ik theanswer is 2,1 how do i sole it tho
kirza4 [7]

Answer:

Step-by-step explanation:

y = 3x - 5

6x + 3y = 15

Substitute the first equation into the second

6x + 3(3x - 5) = 15

6x + 9x - 15 = 15

15x = 30

x = 2

Then use the answer in the first equation and solve

y = 3(2) - 5

y = 6 - 5

y = 1

7 0
3 years ago
To convert centimeters to meters you simply move the decimal point?
bija089 [108]
There are 100 centimeters in one meter
therefore .1 meters = 10 centimeters
.01 meters = 1 centimeter
to convert form centimeters to meters you will move the decimal to the left 2 times starting from the far most right digit.
5 0
3 years ago
Other questions:
  • Please help and show work!!
    7·1 answer
  • Hello,<br> what shape is this?<br> 10 points
    8·1 answer
  • A carnival ride has 8 cars. Each car holds 4 people. How many people are on the ride if all the cars are full?
    10·2 answers
  • Please help! Thank you :)
    11·2 answers
  • Complete the pattern and find the rule. 1'3,6,10,15' _ ,_ ,_ , _, 1,2,4,8,16, _ , _, _ ,_
    9·1 answer
  • You sell instruments at a Caribbean music festival. You earn $326 by selling 12 sets of maracas, 6 sets of ​claves, and x djembe
    8·2 answers
  • Each morning papa notes the birds feeding on his birdfeeder. So far this month he has seen 59 blue jays, 68 black crows, 12 red
    9·1 answer
  • What is 2+2 I need ans​
    11·2 answers
  • Anthony deposits $6,000 into an account that pays 5.6% annual interest and is
    8·1 answer
  • PLEASE PLEASE HELP Write in standard form: a line that passes through (-1, 1) and has slope 2
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!