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Alja [10]
3 years ago
12

Graph the system of equations. Then determine whether the system has no solution, one solution, or infinitely many solutions. If

the system has one solution, name it.

Mathematics
1 answer:
AVprozaik [17]3 years ago
6 0

Answer:

It has one solution (1,0)

Step-by-step explanation:

y = -2x + 2

y = 4x -4

Substitute the y's

4x - 4 = -2x + 2

Let's move the variables to one side

4x - 4 = -2x + 2

+2x       +2x

6x - 4 = 2

Lets move the constant to the other side

6x - 4 = 2

     +4   +4

6x = 6

Divide both sides by 6

6x/6 = 6/6

x = 1

Let go back to y = -2x + 2

Substitute the x with 1

y = -2(1) + 2

y = -2 + 2

y = 0

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Step-by-step explanation:

-16 + 3n = - 8 - 5n

Bringing like terms on one side

3n + 5n = - 8 + 16

8n = 8

n = 8/8

N = 1

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3 years ago
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300

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Determine which data set best corresponds to the given scatter plot.
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Are there any options?

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3 years ago
How are the GCF and the LCM alike and different?​
vodomira [7]
LCM stands for-In arithmetic and number theory, the least common multiple, lowest common multiple, or smallest common multiple of two integers a and b, usually denoted by LCM(a, b), is the smallest positive integer that is divisible by both a and b. GCF stands for- The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share. For example, 12, 20, and 24 have two common factors: 2 and 4. The largest is 4, so we say that the GCF of 12, 20, and 24 is 4. GCF is often used to find common denominators. How are they alike? Well-How are GCF and LCM alike? ... The GCF of two numbers is the biggest number that has both of the two in its multiplication table. The LCM of two numbers is the smallest number that exists on the times table of both of the two. Each has a use in reducing the work needed to solve particular problems. How are they different well-Most likely the other multiple is shared between both numbers. ... The GCF is based upon what integer divides evenly into two numbers; the LCM is based upon what integer two numbers share in a list of multiples. 2. The GCF must be a prime number; the LCM must be a composite number. (HOPES THIS HELPS!!!!)
7 0
3 years ago
Factor Y4_+y2_-12 need factor of this equation
tatiyna

Answer:

y = ±√3 and ±2i

Step-by-step explanation:

Given the equation y⁴+y²-12 = 0

(y²)²+y²-12 = 0

Let P = y²

Substitute

P²+P-12 = 0

Factorize:

P²+4P-3P -12 = 0

P(P+4)-3(P+4) = 0

(P-3)(P+4) = 0

P-3 = 0 and P+4 = 0

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When P = 3

y² = 3

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When P = -4

y² = -4

y² = ±√-4

y = ±2i

Hence the value of y is ±√3 and ±2i

5 0
3 years ago
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