(f-g)(x) =
x2 + x-4
x²+x+4
x2-x+6
x2 + x + 6

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:

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: They walked 11/12 miles

Step-by-step explanation:

1/4 + 4/6

3/12 + 8/12

11/12

Answer:

-1

Step-by-step explanation:

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

Equals - 16/16

Answer:

probably cuz its in parentheses but there's no picture

Step-by-step explanation:

Answer:

13 tables

Step-by-step explanation:

156 ÷ 12 = 13

156 people divided by the number of people each table hold will give u the amount of tables needed

Answer:

14

Step-by-step explanation:

i think cos x*2 = y

Answer:

24 hope this helps

Step-by-step explanation:

Answer:

the thing is black for me.. pls retake

Step-by-step explanation:

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:

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:

4 : 39

5 : 52

6 : 67

7 : 77

Step-by-step explanation:

Answer:

9400

Step-by-step explanation:

I'm not really sure if this is right but I changed 0.2% to 1/5 and 1/5 is 9400. Hope this is right!

Answer:

use cross multiplication to solve

4*7 = 2*x (multiply)

28 = 2x (divide both sides by 2 to isolate x )

x = 14 (your answer)

Step-by-step explanation:

I hope this helped :)

Answer:

Step-by-step explanation:

Or,2×x=7×4

Or,2x=28

Or,x=14

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

Step-by-step explanation:

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:

(2,6)

Step-by-step explanation:

Answer:

36 miles (b+C) (3)of rate

Answer:

130%

increase

Step-by-step explanation:

the new quantity is 13, the old is 10

divide 13/10

in your calculator this will show 1.3

that means one whole and 30/100ths, or in percents 130%

(to convert decimal to percent just mulitply by 100)

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:

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:

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

Answer:

8(2×+7y)

Step-by-step explanation:

8 is the largest factor

Answer:

LxWxH= 920

Step-by-step explanation:

hope this helps!

Answer:

Step-by-step explanation:

-x+5=9

-x=-9-5

-x=-14

x=14

coefficient of x is -1

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:

61 strides per minute

Step-by-step explanation:

You just divide 671 by 11

hope this helps:)

Answer:

61

Step-by-step explanation: All you have to do is divide 671 by 11