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Mathematics

1 answer:

forsale [732]3 years ago

3 0

Answer: see attachments

<u>Step-by-step explanation:</u>

Slope-Intercept format is: y = mx + b

↓ ↓

↓ Intercept (where it crosses the y-axis)

Slope (rise over run)

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Find the larger of the two roots of the equation y = -2.2x2 + 63.5x - 17

Luden [163]

The larger of the two roots of the equation $y = -2.2x^2 + 63.5x - 17$ would be 28.59.

<h3>How to find the roots of a quadratic equation?</h3>

Suppose that the given quadratic equation is

$ax^2 + bx + c = 0$

Then its roots are given as:

$x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

The given quadratic equation is

$y = -2.2x^2 + 63.5x - 17$

now, the roots of the equation are

$x = \dfrac{-63.5 \pm \sqrt{63.5^2 - 4(-2.2)(-17)}}{2(-2.2)}\\\\\\x = \dfrac{-63.5 \pm \sqrt{4032.25 - 149.6}}{(-4.4)}\\\\\\x = \dfrac{-63.5 \pm \sqrt{3882.65}}{(-4.4)}\\\\\\x = \dfrac{-63.5 \pm 62.31}{(-4.4)}$