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PSYCHO15rus [73]
3 years ago
10

Use the substitution method to solve the system of equations. Choose the correct ordered pair.3x + y = 10y = x – 2

Mathematics
2 answers:
icang [17]3 years ago
8 0

Answer: B. (3,1)

Step-by-step explanation:

The given system of linear equations :-

3x + y = 10......................(1)\\\\y = x - 2..................(2)

Substitute the value of y from equation (2) in equation (1), we get

3x + (x-2) = 10\\\\\Rightarrow\ 4x-2=10\\\\\Rightarrow\ 4x=12\\\\\Rightarrow\ x=3

Now, substitute the value of x in equation (2), we get

y=3-2=1

Hence, the solution of the given system of equation = (3,1)

almond37 [142]3 years ago
4 0
B. For the easiest way to find this, solve the first equation for y and then plug into the second equation for y. 
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\frac{172}{96.75}=\frac{17200}{9675}=\frac{16}{9}=1\frac{7}{9}
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C ) ( x + 2 + 2√2 )( x + 2 - 2√2 ) [n p ]

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Which two functions are inverses of each other?
liraira [26]

Answer:

Option 3 - f(x)= 4x, g(x) = \frac{1}{4}x

Step-by-step explanation:

To find : Which two functions are inverses of each other?

Solution :

Two functions are inverse if f(g(x))=x=g(f(x))

Now, we find one by one

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f(g(x))=f(-x)=-x\neq x

Not true.

2) f(x)= 2x, g(x) = -\frac{1}{2}x

f(g(x))=f(-\frac{1}{2}x)=2\times(-\frac{1}{2}x)=-x\neq x

Not true.

3) f(x)= 4x, g(x) = \frac{1}{4}x

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3 years ago
A sequence is defined recursively using the formula f(n + 1) = -0.5f(n). If the first term of the sequence is 120, what is f(5)?
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