All categories

3 years ago

Instructions: Given the following constraints, find the maximum and minimum values for z.

Mathematics

1 answer:

loris [4]3 years ago

8 0

Answer:

$x+3y\leq 0$

$x-y\geq 0$

$1) x+3y=0$

$x-y=0$

$-----$

$4y=0$

$y=0$

$x=0$

$(0,0)$

$2)(x+3y=0)3$

$3x-7y=16$

$3x+9y=0$

$3x-7y=16\\------\\16y=-16$

$y=-1$

$(3,-1)$

$3)(x-y=0)3$

$3x-7y=16$

$3x-3y=16$

$3x-3y=0$

$3x-7y=16\\------\\4y=-16$

$y=-4$

$x=4$

$(4,-4)$

$Z=-x+5y$

$(0,0):z=0$

$(3,-1):z=-8$

$(4,-4):z=-24$

$Maximum \:Value\: of\: z:0$

$Minimum\: Value\: of\: z:-24$

<u>OAmalOHopeO</u>

You might be interested in

The temperature at 6:00 P.M. was 3°C. At midnight, the temperature was -2°C.

aliina [53]

Answer:

-5 degrees

Step-by-step explanation:

In this scenario, since the final temperature was the temperature that existed at midnight then that value is subtracted from the initial temperature which was at 6:00 PM. Therefore we do the following calculation...

(-2) - 3 = x

-5 = x

Finally, we can see that there was a change in temperature of -5 degrees between 6:00 P.M. and Midnight. Meaning that the temperature during this time dropped a total of 5 degrees. Since, real numbers include negatives then the answer to this question is -5 degrees

5 0

3 years ago

HELP ME ANSWER THIS QUESTION QUICKLY BEFORE KATIE REMOVES IT FOR SOME RANDOM REASON.

Marrrta [24]

Answer:

$\vec{BC}=2b - 4a$

$\vec{XY}=a+ b$

$\vec {CY}=a - 2b$

Step-by-step explanation:

By the triangular law of vector addition:

$\vec {CY}=\vec {CA}+ \vec{AY}$

$\vec {CY}=a - 2b$

We have that;

$\frac{YB}{AY} = \frac{3}{1}$

$\implies YB = 3 AY \\ \vec {YB} = 3 \vec {AY}$

$\vec {YB} = 3 a$

From triangle ABC,

$\vec{BC}=\vec{BA}+\vec{AC} \\ \vec{BC}=2b - 4a$

Again from triangle XYB

$\vec{XY}=\vec{YB}+\vec{BX} \\$

$\vec{XY}=\vec{YB}+ \frac{1}{2} \vec{BC}$

$\vec{XY}=3a+ \frac{1}{2} (2b - 4a)$

$\vec{XY}=3a+ b - 2a \\ \vec{XY}=a+ b$

4 0

3 years ago

Gabe and Eugenia bought a house! Their loan is for $117,000 , for 15 years at an annual interest rate of 4% . This results in a

cupoosta [38]

Answer:

Principal element is $475.43

Interest payment is $390

Step-by-step explanation:

The amount of interest paid in month one is 4%*$117,000*1/12=$390

The interest is calculated based on the annual interest rate of 4% apportioned to reflect one month interest by multiplying by 1/12

The principal element of monthly payment is the monthly payment minus interest.

principal paid in month one=$865.43-$390=$475.43

Ultimately,$475.43 goes toward reducing her loan balance while the $390 is interest on loan

4 0

3 years ago

Round 33.885 to the nearest 100th

maria [59]

Answer:

33.89

Step-by-step explanation:

How to Calculate Rounding to the Nearest 100th?

If the digit after hundredth is greater than or equal to 5, add 1 to hundredth. Else remove the digit. Example

124.586

The third digit of right of decimal point is 6

The second digit after decimal point is 8 which is greater than 5

So add 1 to 8

Result = 124.59

6 0

2 years ago

Read 2 more answers

Solve the separable differential equation dtdx=x2+164 and find the particular solution satisfying the initial condition x(0)=9

maria [59]

$\dfrac{dt}{dx} = x^2 + \frac{1}{64} \Rightarrow\ dt = \left(x^2 + \frac{1}{64}\right)dx \Rightarrow \\ \\ \displaystyle \int 1 dt = \int \left(x^2 + \frac{1}{64}\right)dx \Rightarrow \\ t = \dfrac{x^3}{3} + \frac{x}{64} + C$

C = 9 because all the x terms go away.

$t = \dfrac{x^3}{3} + \dfrac{x}{64} + 9$

3 0

3 years ago