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WITCHER [35]
3 years ago
10

4. Match the equation with its graph. -4x+6y=24​

Mathematics
2 answers:
Nadusha1986 [10]3 years ago
8 0

Answer:

Step-by-step explanation:

Solve the given equation for y:  6y = 4x + 24.  Thus, y = (2/3)x + 4.

This has a y-intercept of 4 and a slope of +2/3.  So we can immediately eliminate the middle two graphs.

The correct graph is the first one.  We know it's correct because the y intercept is + (whereas it's - in the other alternative answer choice).

lorasvet [3.4K]3 years ago
8 0

Answer:

Step-by-step explanation:

-4x+6y=24​

6y = 4x + 24

y = 2/3 x + 4.

Its the one which rises to the right and passes through the axes at x = -6 and y = 4.

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3. A clothing manufacturing company makes two types of jogging pants, design A and design B. the design A jogging pants sells to
andriy [413]

Answer:

z(max) =  256000  Php

x₁ = 10

x₂ = 110

Step-by-step explanation:

Jogging pants design                Selling Price       Cost    

weekly production

 Design A    x₁                                     2500            1750

  Design B    x₂                                    2100            1200      

1. z ( function is : )

z = 2500*x₁  +  2100*x₂       to maximize

First constraint weekly production

 x₁    +   x₂    ≤  120

Second constraint Budget

1750*x₁  +  1200*x₂   ≤   150000      

Then the model is

z = 2500*x₁  +  2100*x₂       to maximize

Subject to

 x₁    +   x₂    ≤  120

1750*x₁  +  1200*x₂   ≤   150000  

General constraints   x₁  ≥  0           x₂   ≥ 0            both integers

First table

z           x₁           x₂        s₁       s₂      cte

1       -2500      -2100    0       0         0

0          1              1          1        0  = 120

0      1750         1200     0       1   = 150000

Using AtoZmath online solver and after 6 iterations the solution is:

z(max) =  256000  Php

x₁ = 10

x₂ = 110

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