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Deffense [45]
2 years ago
8

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

Mathematics
1 answer:
Luden [163]2 years ago
7 0

The larger of the two roots of the equation y = -2.2x^2 + 63.5x - 17would 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)}

The two roots are 0.27 and 28.59.

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

Learn more about finding the solutions of a quadratic equation here:

brainly.com/question/3358603

#SPJ1

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Aloiza [94]

Answer:

download Microsoft math solver app .

I am pretty sure that this app will help you to solve this question

3 0
3 years ago
1.
Liula [17]

Answer:

-40

20

20

20

Step-by-step explanation:

5 0
3 years ago
Help 15 points!!!!!!!!!!!!!!!!!!!!!
Svetllana [295]

Answer:

see explanation

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan A = \frac{opposite}{adjacent} = \frac{BC}{AC} = \frac{7}{8} , then

∠ A = tan^{-1} (\frac{7}{8} ) ≈ 41° ( to the nearest degree )

The sum of the angles in the triangle = 180° , then

∠ B + 41° + 90° = 180°

∠ B + 131° = 180° ( subtract 131° from both sides )

∠ B = 49°

Using Pythagoras' identity in the right triangle

AB² = BC² + AC² = 7² + 8² = 49 + 64 = 113 ( take square root of both sides )

AB = \sqrt{113} ≈ 10.6 ( to the nearest tenth )

3 0
3 years ago
The graph of a function must be linear if it has what characteristic?
pantera1 [17]
The graph of a function is linear of the graph is a straight line.
3 0
4 years ago
Read 2 more answers
Please help on this one?
Sedaia [141]

The inverse is where the x and y values are flipped, so the left side would have 6 7 8 9 and the right side would have 9 10 11 12 for the inverse.

Therefore your answer is A.

4 0
4 years ago
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