Find the maximal and minimal value of z = 3x + 4y subject to the
following constraints:
x +2y 14
3x- y>/0
x- y 2

Answer:

y = 2x - 18

Step-by-step explanation:

There are lots of different methods to do these types of questions, but this is the way i like to do it.

Coordinate (x1, y1) : (4, -10) and Gradient (m): 2

Start with this generic equation:

y- y1 = m(x-x1)

Substitute in the values they have given you:

y - (-10) = 2(x-4)

This becomes:

y + 10 = 2x - 8

Keep solving by moving the 10 over to the other side:

y = 2x -8-10

y = 2x - 18

An easy way to double check:

1) the coefficient of x is the slope. We got 2x, and the slope is 2, so that's correct.

2) Substitute x=4 into the equation, and we get -10, which is the exact coordinate that they gave us. This is also right.

Hope this helped : )

Answer:

[tex]10.7\%[/tex]

Step by step explanation

hope this helps

brainliest appreciated

good luck! have a nice day!

Step-by-step explanation:

0.107

= 0.107/100 × 100 = 0.107 %

Answer:

-1

0-d/d-0 = -d/d=-1

Answer:

-1

Step-by-step explanation:

Hope this helps.

Answer:

$300

Step-by-step explanation:

10% = .1 and each TV costs 120 so .1*120=12 then you take 12*25 since 12 is the money he makes for seeling the tv multiplied by the total TV's sold and you get 300 so Mike makes $300

Answer:

300 just cross multiply to get the answer.

Answer:

For a the answer is 1/20 or 5%. For b the answer is 6/20 or 30%.

Step-by-step explanation:

a) There are 20 spots the dart can land on. To land on one specific spot, it would be 1/20. 1 spot out of 20 spots.

b) There are 20 spots the dart can land on. To land on any of the 6 spots, it would be 6/20. 6 spots out of 20 spots.

Answer:

$376.88

Step-by-step explanation:

11.25 x 33.5= 376.875.  So round up 376.88

Answer:

2,000

20,000 *10 /100

this is the answer and this is how to solve it

Answer:

5 units

Step-by-step explanation:

I used the pythagorean theorem (a^2 + b^2 = c^2) to find the answer. I put 3 in a and 4 in b. I squared them and got 9 + 16 = 25. I found the square root of 25 which is 5 and that is my answer.

Answer:

A 1/3

Step-by-step explanation:

5/12+1/4= 8/12= 2/3

1-2/3=1/3

Answer:

36 cm

Step-by-step explanation:

The area of a square is given by

A = s^2

81 = s^2

Take the square root of each side

9 =s

We want the perimeter

P =4s

P= 4*9

P = 36

Answer:

D. m/B=20, m/ABC=70

Step-by-step explanation:

Answer:

56 cubic inches

Step-by-step explanation:

Volume of cube box = 6^3 = 6 *6*6 = 216 , Volume of rectangular box = 10*4*4 = 160 . Difference = 216 - 160 = 56 cubic inches. 56 cubic inches greater is the volume of the cube-shaped box than the rectangular box.

Answer:

Step-by-step explanation:

cube volume=side^3

given that the side is 6, the volume is 6^3 or 216 cubic inches

volume regular rectangular prism=length times width times height

given that length=10, width is 4 and height is 4, volume=10*4*4=160 cubic inches

how much greater

216-160=56

it is 56 cubic inches greater

this is ur answer buddy]

25 = 5*5 and 9 = 3*3, which we can exploit to write

[tex]25^x-9^y=(5^2)^x-(3^2)^y=5^{2x}-3^{2y}=(5^x)^2-(3^y)^2[/tex]

so that this expression is actually a difference of squares. We can factorize this to get

[tex](5^x-3^y)(5^x+3^y)=18[/tex]

and given that [tex]5^x-3^y=3[/tex], we divide both sides by this to get

[tex]5^x+3^y=\dfrac{18}3=\boxed{6}[/tex]

Answer:

65 :)

Step-by-step explanation:

Answer:

10 ft

Step-by-step explanation:

Square root of 100 = 10

Answer:

10 feet

Step-by-step explanation:

To find the length of a square side using the area, what you need to do is find the square root of the area because a square area is the side length squared soooo.

[tex]\sqrt{100} =10[/tex]

The correct answer would be option #2!

The following best describes the motion of the car shown is,

⇒ It travels for 3 hours, then stops for 1 hour, and finally travels again for 1 hour.

The correct option is (B).

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Now, From 0-4 the graph is uniformly increasing which represents 3 hours that's it's moving.

Then from 2-3 there no increment or decrement which represents it is in rest.

Then, from 4 - 5 the graph is uniformly increasing again which represents 1 more hours it is moving.

Hence, We get;

⇒ It travels for 3 hours, then stops for 1 hour, and finally travels again for 1 hour.

Learn more about graph here:

brainly.com/question/14375099

#SPJ7

Answer:

40

Step-by-step explanation:

If you divide 30 by three, you get the 10%, which is 4, you multiply the 10% by ten to get the 100%, and you get 40. Hope this helps:)

Answer:

X would be 48 degrees

Step-by-step explanation:

If you would like an explanation just comment it

Answer:

18

Step-by-step explanation:

14 + 8 + 8 + 13 + 5 = 48. 48 + 18 = 66. 66 / 6 = 11.

im just doing this for the points lol                                                                                                       /                                                                                                                                       /                                                                                                                                        /     pay back

Answer:

C

Step-by-step explanation:

A patio=(x+15)*(x+10)

A bench=5*1=5

A painted=A patio-A bench

A painted=(x+15)*(x+10)-5

thus, the answer is C

The painted area is [tex]a=(x+15)(x+10)-5[/tex]. So, option C is correct.

Important information:

Area of a rectangle is:

[tex]A=Length \times Width[/tex]

Area of rectangular patio is:

[tex]A_1=(x+15)(x+10)[/tex]

Area of bench is:

[tex]A_2=5\times 1[/tex]

[tex]A_2=5[/tex]

The painting area is:

[tex]a=A_1-A_2[/tex]

[tex]a=(x+15)(x+10)-5[/tex]

Therefore, the correct option is C.

Find out more about 'Area of rectangle' here:

https://brainly.com/question/3133832

Answer:

[tex]12\sqrt{2}[/tex]

Step-by-step explanation:

The formula for diagonal of the square:

[tex]d=\sqrt{2} a[/tex]

[tex]d=\sqrt{2} \times 12[/tex]

Answer:

26.9 i think

Step-by-step explanation:

Answer:

26.9

Step-by-step explanation:

I have attached the work to your problem.

Please see the attachment below.

I hope this helps!

Answer:

[tex]$\text{P(Choose Cab Once)}=\frac{4}{9} $[/tex]

Step-by-step explanation:

In the morning Elizabeth has three transportation options to work.

It is [tex]$\frac{1}{3} $[/tex] :

In the evening Elizabeth has the same three transportation options to go home.

It is [tex]$\frac{1}{3} $[/tex] again.

But if we consider that she will take the cab once, the options will change to [tex]$\frac{2}{3} $[/tex] because now she can choose 2 options out of 3.

[tex]$\text{P(no cab) }= \frac{2}{3} $[/tex]

In order to use the cab once, we have two options:

She will use the cab in the morning or she will use the cab in the evening:

First route (cab in the morning):

[tex]$\text{Route 1}=\text{P(Choose Cab) } \cdot \text{P(Choose another one)} $[/tex]

[tex]$\frac{1}{3} \cdot \frac{2}{3} $[/tex]

Second route (cab in the evening):

[tex]$\text{Rote 2}=\text{P(Choose another one) } \cdot \text{P(Choose Cab)} $[/tex]

[tex]$\frac{1}{3} \cdot \frac{2}{3} $[/tex]

We have two routes, so

[tex]\text{P(Choose Cab Once)}=\text{Route 1}+\text{Route 2}[/tex]

[tex]$\text{P(Choose Cab Once)}=\frac{1}{3} \cdot \frac{2}{3} +\frac{1}{3} \cdot \frac{2}{3} $[/tex]

[tex]$\text{P(Choose Cab Once)}=\frac{2}{9} \cdot \frac{2}{9} $[/tex]

[tex]$\text{P(Choose Cab Once)}=\frac{4}{9} $[/tex]

Answer:

Step-by-step explanation:

The Formula for finding the circumference is C = πd

C = π(8)

Brad will need 25.13 feet of plastic edging to complete his garden.