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Alinara [238K]
3 years ago
8

If they were part of the same expression, which of the following would be considered like terms with the given monomial?

Mathematics
1 answer:
dedylja [7]3 years ago
7 0

Answer: OPTION B

Step-by-step explanation:

The like term of the given monomial 5m^2n must have the following characteristics:

- The exponent of "m" must be "2".

- The exponent of "n" must be "1".

Then, you can observe that the option that shows a monomial with this characteristics is the option B.

Therefore, the like term with the given monomial 5m^2n is:

-m^2n

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Answer:

Pease check my assumptions.

Step-by-step explanation:

I will assume that f(x)=x2 is actually f(x) = x^2.

Same for g(x)=(12x)^2  [Is it g(x)=12x^2  ???]

See the attached image.

Note that (12x)^2 results in a narrower, steeper graph.   That's because (12x)^2 can be rewritten as 144x^2, so every value is multiplied by 144, compared to just x^2.

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2 years ago
What is the solution to this system of equations? 4x + 5y = 7
Nutka1998 [239]

Answer:

(-2, 3)

Step-by-step explanation:

4x + 5y = 7

3x - 2y = -12

Let's solve this by elimination. We want to eliminate one variable at a time. This means we need to multiply the equations to create a common multiple to cancel out a variable.

Let's work with y.

5y and -2y: For these values to cancel out, we need to multiply each term to create a common multiple.

2(4x + 5y = 7)

5(3x - 2y = -12)

Multiply.

8x + 10y = 14

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Eliminate.

23x = -46

Divide both sides by 23.

x = -2

Now that we know x, let's plug it back into one of equations to find y.

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Multiply.

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Add.

5y = 15

Divide.

y = 3

Now we know x and y; let's plug both back into the equation we have not checked yet.

3x - 2y = -12

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Multiply.

-6 - 6 = -12

Subtract.

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Your solution is correct.

(-2, 3)

Hope this helps!

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