Please help again!!!!!!!!

Given:

The objective function, [tex]C=2x+3y[/tex],

Constraints,

[tex]2x+3y\leq 24[/tex]

[tex]3x+y\leq 15[/tex]

[tex]x\geq 2[/tex]

[tex]y\geq 3[/tex]

To find:

The minimum value of the given objective function.

Solution:

We have,

Objective function, [tex]C=2x+3y[/tex]            ....(i)

The related equations of given constraints are

[tex]2x+3y=24[/tex]       ...(ii)

[tex]3x+y=15[/tex]              ...(iii)

[tex]x=2[/tex], it is a vertical line parallel to y-axis and 2 units left from y-axis.

[tex]y=3[/tex], it is a horizontal line parallel to x-axis and 4 units above from y-axis.

Table of value for (i),

x :   0     12

y :   8     0

Table of value for (ii),

x :   0      5

y :   15     0

Plot these points on a coordinate plane and draw these 4 related lines.

The sign of inequality of [tex]2x+3y\leq 24[/tex] and [tex]3x+y\leq 15[/tex] is ≤, it means the related lines are solid lines and the shaded region lie below the related line.

For [tex]x\geq 2[/tex], left side of the line [tex]x=2[/tex] is shaded.

For [tex]y\geq 3[/tex], shaded region is above the line [tex]y=3[/tex].

From the below graph it is clear that the vertices of the feasible (common shaded region) are (2,3), (4,3), (3,6) and (2,6.667).

Points                     [tex]C=2x+3y[/tex]    

(2,3)                        [tex]C=2(2)+3(3)=4+9=13[/tex]    (Minimum)

(4,3)                        [tex]C=2(4)+3(3)=8+9=17[/tex]    

(3,6)                        [tex]C=2(3)+3(6)=6+18=24[/tex]    

(2,6.667)                 [tex]C=2(2)+3(6.667)=4+20=24[/tex]

Therefore, the objective function is minimum at point (2,3).

Answer:

-1

Step-by-step explanation:

as - 10-6/10-(-6)

Equals - 16/16

Answer:

your answer would be C

Step-by-step explanation:

line segment JK,Modifying above upper L upper J with bar, Modifying above Upper L Upper K with bar

Answer:

the thing is black for me.. pls retake

Step-by-step explanation:

Answer:

24 / 2500

Step-by-step explanation:

Experimental probability = (number of successes / total number of trials)

For rolling :

Total number of trials = ( 10 + 4 + 8 + 11 + 8 + 9) = 50

Number of times 2 is rolled = 4

P(rolling a 2) = 4 /50

For spinning :

Total number of trials = (8 + 6 + 9 + 11 + 9 + 7) = 50

Number of times 2 is spunned = 6

P(rolling a 2) = 6 /50

Hence,

4 / 50 * 6/50 = 24 / 2500

Answer:

the answer is 9

Step-by-step explanation:

Answer:

$25.50

Step-by-step explanation:

So we have a 15% off coupon. We can multiply 25×.85 to find our new price.

Our total is now $21.25

Now to find the tip do $21.25 +(.2 × 21.25)

*The .2 is 20 percent of our discount price.*

We then get $25.50

Answer:

3,-2.

Step-by-step explanation:

hope this helps. :-)

Answer:

a = 16

w = 125

x = 120

y = 55

Step-by-step explanation:

FINDING 'a'

31 = a + 46 / 2

62 = a + 46

16 = a

FINDING 'w'

* This section looks Non-Isosceles trapezoid so I will be following the rule according it

w + 55 = 180

w = 125

FINDING 'y'

y = 55

- Because of corresponding angles

FINDING 'x'

* In this case it looks like we are still dealing w/ an non-isosceles trapezoid.

x + 60 = 180

x = 120

Hope this helped ^^

(Please inform me of any mistakes or misunderstandings!)

Answer:

14

Step-by-step explanation:

i think cos x*2 = y

Answer:

-16

Step-by-step explanation:

The question asks to find x from 2(4)x if x = -2

All that we have to do is substitute to get our answer :

f(-2) for (x) = 2(4)x

f(-2) = 2(4)(-2)

f(-2) = 2(-8)

f(-2) = -16

Therefore, x = -16

Answer:

-16

Step-by-step explanation:

Plug in -2 for x and then multiply 2 and 4 to get 8 (-2) which is then -16. Hope that helps!

Answer:  4.5 units

Step-by-step explanation:

OD and OC are both radii of the circle O.  All radii of the same circle are equal.  Thus,

[tex]6x+2=10x-16[/tex]

18=4x

x=4.5

Hope it helps :)

Answer:

60 pounds

Step-by-step explanation:

5(5 times)*12(weight of lans dog)=60+12=72

Answer:

57.6

Step-by-step explanation:

72/5 = 14.4

72-14.4=57.6

I checked the answer by:

57.6+14.4=72

Answer:

what is the question? May you please show us

Step-by-step explanation:

Answer:

C. Yes, you can prove that x = 12

Step-by-step explanation:

My friend is correct because by the HL Congruence Theorem, ∆MNP is congruent to ∆MKL. The hypotenuse and leg of one right ∆ is congruent to the hypotenuse and corresponding leg of the other right ∆. So, enough information was given to prove that x = 12.

Answer:

6y + 6x

Step-by-step explanation:

the expanded form would be 6 multiplied to each item in the parenthesis

this gets you 6x + 6y

Answer:

(2,6)

Step-by-step explanation:

Answer:

24 1 2 3 4 5 6 7 8 9 0 10 11 12 13 14 1 5 q5

Answer:

x = 1

y = 2

Step-by-step explanation:

x=1 and y=2.

step 1 ,

2^2x*3^y=36

3^y= 36/2^2x ———- equal 1

step 2,

put the value of 3^y in 2^x*3^y = 18 (equal 1)

WHEN BASES ARE SAME POWERS ARE SUBTRACTED IN CASE OF DIVISION.

Therefore, 2^x-2^2x= 1/2

2^-x= 1/2

(1/2)^x = 1/2

COMPARING THE POWERS BECAUSE THE BASE IS SAME.

x=1.

Now, putting the value of x=1 in 2^x*3^y = 18

y=2.

Answer:

HOW T.F DO YOU NOT

Step-by-step explanation:

-5/12+3

2 7/12

UST CAUSE

Answer: -5/4

Step-by-step explanation:

Answer:

8(2×+7y)

Step-by-step explanation:

8 is the largest factor

Hey there! I'm happy to help!

Here's José's equation.

J=2a+15

And here is Nancy's.

N=3a+5

We want to find the number of animals where they are the same amount, or where J=N. We can write these equations as equal and solve for a to find the answer!

2a+15=3a+5

Subtract 15 from both sides.

2a=3a-10

Subtract 3a from both sides.

-a=-10

Divide both sides by -1.

a=10

Therefore, José and Nancy charge the same amount for 10 animals.

Have a wonderful day! :D

C

have a nice day!!!!!!!!!!!!!!!!!!!!!!!

Approximately 95% of data falls within 2 standard deviations (±2) of the mean. Option D is correct.

A normal distribution is a type of continuous probability distribution for a real-valued random variable such that the values are symmetric about a mean and the curve has bell shape.

Standard deviation is the measure of the randomness of the distribution. The curve has its peak at the mean.

As standard deviation increases, the peak of the curve comes lower and the distribution becomes more and more dispersed.

In a normal distribution 68% of the values falls within 1 standard deviation

and 95% of the values falls within two standard deviations. 99% of the values falls within three standard deviations.

Hence, approximately 95% of data falls within 2 standard deviations (±2) of the mean.

To learn more about normal distribution visit:

https://brainly.com/question/15103234

#SPJ1

Answer:

g=-1/2    can u you also mark me brainliest?

Step-by-step explanation:

Answer:

y = 542 years

Step-by-step explanation:

Given that,

The regression equation, y= 4.39x-6.77 is used to predict the age of a tree.

y is age of a tree and x is diameter

Put x = 125 cm

Put the value of x in above equation.

y = 4.39(125)-6.77

=548.75  - 6.77

= 541.98

or

y = 542

So, the tree is 542 years old.

Answer:okay I’m pretty smart it is c the answer  is 4:)

Step-by-step explanation:

Answer:

Its A

Step-by-step explanation:

Answer:

LxWxH= 920

Step-by-step explanation:

hope this helps!