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KonstantinChe [14]
2 years ago
7

Solving exponential equation 10^3 = 10^2x + ^ 3

Mathematics
1 answer:
Effectus [21]2 years ago
8 0

Answer:

x = 4

Step-by-step explanation:

Simplifying

2x + -10 = 10 + -3x

Reorder the terms:

-10 + 2x = 10 + -3x

Solving

-10 + 2x = 10 + -3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3x' to each side of the equation.

-10 + 2x + 3x = 10 + -3x + 3x

Combine like terms: 2x + 3x = 5x

-10 + 5x = 10 + -3x + 3x

Combine like terms: -3x + 3x = 0

-10 + 5x = 10 + 0

-10 + 5x = 10

Add '10' to each side of the equation.

-10 + 10 + 5x = 10 + 10

Combine like terms: -10 + 10 = 0

0 + 5x = 10 + 10

5x = 10 + 10

Combine like terms: 10 + 10 = 20

5x = 20

Divide each side by '5'.

x = 4

Simplifying

x = 4

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One of the tables shows a proportional relationship.
beks73 [17]

Answer:

See attached

Step-by-step explanation:

The graph of a <u>proportional linear relationship</u> is a line that <u>passes through the origin</u> (0, 0).

From inspection of the given tables, the <u>linear equations</u> for each table of points is:

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The only equation for which y = 0 when x = 0 is y = x/2  →  Table 2.

Given points from Table 2:

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3 years ago
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