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wariber [46]
3 years ago
12

Witch order pair is a solution -2x+6y=16. -4x-3y=2

Mathematics
1 answer:
Bezzdna [24]3 years ago
7 0

Answer:

The ordered pair solution is (-2,2)

Step-by-step explanation:

Here, we want to get the ordered pair solution to the system of linear equations

From the first equation, we can have it that;

-2x = 16-6y

Now, we can substitute this into the second equation as follows;

From; -4x -3y = 2

2(-2x) - 3y = 2

2(16-6y) - 3y = 2

32 - 12y - 3y = 2

32-15y = 2

-15y = 2-32

-15y = -30

y = -30/-15

y = 2

Recall;

-2x + 6y = 16

substitute for the value of y

-2x + 6(2) = 16

-2x + 12 = 16

-2x = 16-12

-2x = 4

x = 4/-2

x = -2

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Simplify -(n + 2) + 3(n – 2)
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Answer:

2n-4

Step-by-step explanation:

-n-2+3n-2 (here I distributed the negative to both parts)

2n-4 (gather the like terms)

4 0
3 years ago
Write 24 as a product of its prime factors.
Alex777 [14]
<span>prime factors are prime numbers that can be multiplied to give the number.
to find the prime factors the number is divided by the prime numbers by which the number is divisible.
                                                                               
24 / 3 = 8                                                                            
8 / 2 = 4                                                                                
4 / 2 = 2                                                                             
2 / 2 = 1                                                                                 
24 is divisible by 3 , 2 , 2 and 2.
therefore 24 written as a product of its prime factors is 24 = 2 x 2 x 2 x 3</span>
8 0
3 years ago
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A can of orange juice has a circular base with an area of 156 square centimeters. The height of the can is 20 centimeters.
docker41 [41]
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4 0
3 years ago
Please help me with algebra part B and C. attachment below. Will mark as brainslist. 25 points.
miv72 [106K]

Answer:

C. (-7x+60)(x+4)

Step-by-step explanation:

Consider the expression -7x^2+32x+240.

First, note that

a=-7\\ \\b=32\\ \\c=240

Find the discriminant

D=b^2-4ac=32^2-4\cdot (-7)\cdot 240=1,024+6,720=7,744\\ \\\sqrt{D}=\sqrt{7,744}=88

Now,

x_1=\dfrac{-b+\sqrt{D}}{2a}=\dfrac{-32+88}{2\cdot (-7)}=-4\\ \\x_2=\dfrac{-b-\sqrt{D}}{2a}=\dfrac{-32-88}{2\cdot (-7)}=\dfrac{60}{7}

Write the factored form:

-7x^2+32x+240=-7(x-(-4))\left(x-\dfrac{60}{7}\right)=(x+4)(-7x+60)

8 0
2 years ago
Write an equation for this linear function. <br>f(0)=3 and f(3)=0 <br><br>f(x)=
Jlenok [28]

Answer:

f(x)=-x+3

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contains (0, 3) and (3, 0)

slope = (3-0)/(0-3)=3/-3=-1

f(x)=-x+b

b=3

f(x)=-x+3

5 0
2 years ago
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