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Anna71 [15]
3 years ago
8

Graph the system of inequalities y<5x-1, y

=" \geq " align="absmiddle" class="latex-formula">\geq-3x+4
Which two quadrants does the solution lie in?
Mathematics
1 answer:
zhannawk [14.2K]3 years ago
6 0
The inequalities that are given in this item are given below,
       y < 5x - 1
       y ≥ -3x +4

We dropped the inequalities sign to solve for the values of x and y for the intersection.
      y = 5x - 1
      y = 3x + 4

Substituting the y from the first equation to the y of the second equation,
     5x - 1 = 3x + 4
    2x = 5
    x = 5/2

Substituting for y,
      y = (5)(5/2) - 1
      y = 25/2 - 1 = 11.5

The intersection is (5/2, 11.5)

The solutions of the system of inequalities lie in the 3rd and 4th quadrants. 
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4 0
3 years ago
-3x^2+12x-8 in vertex form using the completing the square method! ASAP PLEASE WILL MARK U WHATEVER YOU WANT! WORK NEEDED
atroni [7]

Answer:

 -3x2 + 12x - 8

Step-by-step explanation:

Equation at the end of step 1

 ((0 -  3x2) +  12x) -  8

STEP

2

:

STEP

3

:

Pulling out like terms

3.1     Pull out like factors :

  -3x2 + 12x - 8  =   -1 • (3x2 - 12x + 8)  

Trying to factor by splitting the middle term

3.2     Factoring  3x2 - 12x + 8  

The first term is,  3x2  its coefficient is  3 .

The middle term is,  -12x  its coefficient is  -12 .

The last term, "the constant", is  +8  

Step-1 : Multiply the coefficient of the first term by the constant   3 • 8 = 24  

Step-2 : Find two factors of  24  whose sum equals the coefficient of the middle term, which is   -12 .

     -24    +    -1    =    -25  

     -12    +    -2    =    -14  

     -8    +    -3    =    -11  

     -6    +    -4    =    -10  

     -4    +    -6    =    -10  

     -3    +    -8    =    -11  

     -2    +    -12    =    -14  

     -1    +    -24    =    -25  

     1    +    24    =    25  

     2    +    12    =    14  

     3    +    8    =    11  

     4    +    6    =    10  

     6    +    4    =    10  

     8    +    3    =    11  

     12    +    2    =    14  

     24    +    1    =    25  

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You need to sell 250 candy bars at $2 each. If you meet your goal, the total amount of money you will have is measured in the __
ollegr [7]
Based on the given details you have given, the total amount of money that you will have will be measured in dollars ($). Since the given value is also in dollars which is $2, therefore, the total amount of money you will have is also in dollars which is 250 x $2 is $500 in total. Hope this answers the question. 
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3 years ago
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