3 years ago

How to solve algebraic inequalities.

Mathematics

1 answer:

Lisa [10]3 years ago

3 0

Algebraic inequalities can be solved in the same way in which algebraic equations are solved.

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A. (x+2) (x2 +x+2) + 2(x3 + x2)

hram777 [196]

Answer:

3x³ + 5x² + 4x + 4

Step-by-step explanation:

Given

(x + 2)(x² + x + 2) + 2(x³ + x²)

To expand the product, each term in the second factor is multiplied by each term in the first factor, that is

x(x² + x + 2) + 2(x² + x + 2) + 2(x³ + x²) ← distribute the parenthesis

= x³ + x² + 2x + 2x² + 2x + 4 + 2x³ + 2x² ← collect like terms

= 3x³ + 5x² + 4x + 4

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mezya [45]

Answer:

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Step-by-step explanation:

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KIM [24]

Here ya go! Hope this helps!! :D

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3 years ago

What is the rate of change of the following equation? y = 5x + 4

almond37 [142]

Answer:

Step-by-step explanation:

Rate of change of the equation y = 5x + 4 can be obtained by differentiating it with respect to x.

$\because \: y = 5x + 4 \\ \therefore \: \frac{dy}{dx} = \frac{d}{dx} (5x + 4) \\ \\ = 5 \frac{d}{dx} x + \frac{d}{dx} 4 \\ \\ = 5 \times 1 + 0 \\ \therefore \: \frac{dy}{dx} = 5 \\$

Hence, rate of change of y = 5x + 4 is 5.

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The total capacity of 6 pitchers and 12 glasses is 21 liters. The capacity of a pitcher is 5 times that of a glass. Find the cap

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