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Ipatiy [6.2K]
3 years ago
9

X (2x - 7)^3= (2x)^3- 7^3 = 8x3 - 343

Mathematics
1 answer:
emmainna [20.7K]3 years ago
4 0

Answer:

(2x - 7)³ ≠ (2x)³- 7³

Step-by-step explanation:

(2x - 7)³= (2x)³- 7³

Use pascal's triangle to expand left side. Simplify all else.

(2x)³ + 3(2x)²(-7)¹ + 3(2x)¹(-7)² + (-7)³ = 8x³- 343

8x³ + 3(4x²)(-7) + 3(2x)(49) + (-7)³ = 8x³- 343

8x³ - 84x² + 294x - 343 = 8x³- 343

LS ≠ RS

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A small business earns a profit of $6500 in January and $17,500 in May. What is the rate of change in profit for this time perio
MAXImum [283]

Rate of change of profit for this period is $2750 per month

<em><u>Solution:</u></em>

Given that,

Profit of $6500 in January and $17,500 in May

<em><u>To find: Rate of change</u></em>

Since,

January is the first month of the year (1) while May is the fifth month (5)

<em><u>Therefore, we get two points</u></em>

(1, 6500) and (5, 17500)

Using these points we can find the rate of change in profit for this time period

<em><u>The rate of change using the following formula:</u></em>

m = \frac{y_2-y_1}{x_2-x_1}

Here from the points,

(x_1, y_1) = (1, 6500)\\\\(x_2, y_2) = (5, 17500)

<em><u>Therefore, rate of change is given as:</u></em>

m = \frac{17500-6500}{5-1}\\\\m = \frac{11000}{4}\\\\m = 2750

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8 0
3 years ago
How do you find a linear equation
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Flip equation
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Learn more about Average speed here :

brainly.com/question/17277454

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