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Natali5045456 [20]
3 years ago
12

Which graph represents the solution for the equation 2/3 x - 2 = -5x + 1?

Mathematics
1 answer:
Llana [10]3 years ago
8 0

Answer:

<h2>The graph is attached in the given figure.</h2>

Step-by-step explanation:

The equation, y = (\frac{2}{3} \times x) - 2 passes through (0, -2) and (3, 0)

Hence, the above equation will intersect x-axis at (3, 0) and y-axis at (0, -2).

Another equation y = -5x + 1 passes through (0, 1) and (\frac{1}{5}, 0)

Hence, it intersects x-axis at (\frac{1}{5}, 0) and y-axis at (0, 1).

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Answer:

The answer is

<h2>20 + 56i</h2>

Step-by-step explanation:

(2 -10i) (-5 + 3i)

Using FOIL multiply each term in the first bracket by the terms in the second <u>bracket</u>

That's

2(-5) + 2(3i) - 10i(-5) - 10i(3i)

<u>Multiply the numbers and simplify</u>

We have

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From the rules of imaginary numbers

<h3>i² = - 1</h3>

So we have

- 10 + 56i - 30(- 1)

- 10 + 56i + 30

Simplify

30 - 10 + 56i

We have the final answer as

<h3>20 + 56i</h3>

Hope this helps you

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