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4 years ago

I need help with algebra

Mathematics

2 answers:

Radda [10]4 years ago

5 0

Answer:

x³ + 3x² - 5

Step-by-step explanation:

(x³ - 5x + 4) + (2x² + 5x - 6) - (-x² + 3)

x³ - 5x + 4 + 2x² + 5x - 6 + x² - 3

x³ + 3x² - 5

ioda4 years ago

3 0

We are given [ H(x) = A(x) + B(x) - C(x) ]. Substitute with the given functions.

H(x) = (x³ - 5x + 4) + (2x² + 5x - 6) - (-x² + 3)

~Simplify

H(x) = (x³ - 5x + 4) + (2x² + 5x - 6) + (x² - 3)

~Combine like terms

H(x) = x³ + (2x² + x²) + (-5x + 5x) + (4 - 6 - 3)

~Simplify

H(x) = x³ + 3x² - 5

The answer is x³ + 3x² - 5

Best of Luck!

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###

Just to confirm: the new mixture consists of

$28.8+14.4=43.2$ ounces of water
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giving a total volume of $43.2+1.2=44.4$ ounces of coffee, and $\dfrac{43.2}{44.4}\approx0.973$ , as required.

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