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stellarik [79]
3 years ago
5

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>

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s2008m [1.1K]

Answer: 29.2cm

Step-by-step explanation: perimeter of parallelogram; 2(a + b) where a = base, b = altitude

a = 8cm

b = 6.6cm

Perimeter = 2(8 + 6.6) = 2(14.6)

Perimeter = 29.2cm

8 0
3 years ago
Add. Write your answer as a mixed number in simplest form.
Natali5045456 [20]

Answer:

Please put the equation.

Step-by-step explanation:

7 0
3 years ago
Prove the following statement.
gayaneshka [121]

Answer:

You can prove this statement as follows:

Step-by-step explanation:

An odd integer is a number of the form 2k+1 where k\in \mathbb{Z}. Consider the following cases.

Case 1. If k is even we have: (2k+1)^{2}=(2(2s)+1)^{2}=(4s+1)^{2}=16s^2+8s+1=8(2s^2+s)+1.

If we denote by m=2s^2+2 we have that (2k+1)^{2}=8m+1.

Case 2. if k is odd we have: (2k+1)^{2}=(2(2s+1)+1)^{2}=(4s+3)^{2}=16s^2+24s+9=16s^{2}+24s+8+1=8(2s^{2}+3s+1)+1.

If we denote by m=2s^{2}+24s+1 we have that (2k+1)^{2}=8m+1

This result says that the remainder when we divide the square of any odd integer by 8 is 1.

6 0
3 years ago
Point A is at (6,-6) and point C is at(-6,-2). find the coordinates of B on AC so that AB= 3/4AC.
loris [4]

Answer:

B(-6, 0)

Step-by-step explanation:

You want to find B such that ...

(B -A) = (3/4)(C -A) . . . . the required distance relation

4(B -A) = 3(C -A) . . . . . . multiply by 4

4B = 3C +A . . . . . . . . . . add 4A, simplify

Now, we can solve for B and substitute the given coordinates:

B = (3C +A)/4 = (3(-6, -2) +(-6, 6))/4 = (-24, 0)/4 = (-6, 0)

The coordinates of point B are (-6, 0).

Hope it helped u if yes mark me BRAINLIEST!

Tysm!

:D

6 0
3 years ago
Sheriff raises is 2 ft wide 6 ft long 2 ft deep what is the volume of her freezer​
USPshnik [31]

Answer:24sq.ft.

Step-by-step explanation: v=6*2*2

6×2=12

12×2=24sq.ft.

5 0
3 years ago
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