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3 years ago

How many distinct and real roots can an nth-degree polynomial have?

1 answer:

8 0

The fundamental theorem of algegra is often cited to say that an n-th degree polynomial has n roots. They may not always be distinct, and they may not always be real.

An n-th degree polynomial may have up to n distinct real roots.

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What negative angle is equivalent to a 75 angle

eimsori [14]

Answer:

-75

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Find all values of c in the open interval (a, b) such that f'(c)=(f(b)-f(a))/(b-a)

timama [110]

<h3>Answer: c = 7/4</h3>

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Work Shown:

Compute the function value at the endpoints

$f(x) = \sqrt{4-x}\\\\f(-5) = \sqrt{4-(-5)} = 3\\\\f(4) = \sqrt{4-4} = 0\\\\$

With a = -5 and b = 4, we have

$f'(c) = \frac{f(b)-f(a)}{b-a}\\\\f'(c) = \frac{f(4)-f(-5)}{4-(-5)}\\\\f'(c) = \frac{0-3}{9}\\\\f'(c) = -\frac{1}{3}\\\\$

So,

$f(x) = \sqrt{4-x}\\\\f'(x) = -\frac{1}{2\sqrt{4-x}}\\\\f'(c) = -\frac{1}{3}\\\\-\frac{1}{2\sqrt{4-c}} = -\frac{1}{3}\\\\$

Use algebra to solve for c

$-\frac{1}{2\sqrt{4-c}} = -\frac{1}{3}\\\\\frac{1}{2\sqrt{4-c}} = \frac{1}{3}\\\\3 = 2\sqrt{4-c}\\\\2\sqrt{4-c} = 3\\\\\sqrt{4-c} = \frac{3}{2}\\\\4-c = \frac{9}{4}\\\\c = 4-\frac{9}{4}\\\\c = \frac{16-9}{4}\\\\c = \frac{7}{4}\\\\$

6 0

3 years ago

What's the angle of y and x ??

victus00 [196]

Y is going to be the number 40
x will equal 90

6 0

3 years ago

John went to the grocery store and purchased cans of soup and frozen dinners. Each can of soup has 150 mg of sodium and each fro

Fantom [35]

Answer:

when he went to the store did he come back ? lol

Step-by-step explanation:

if you dont get the joke, im disappointed

4 0

3 years ago

Find the radius of the sphere with the given volume. Show all work

yaroslaw [1]

Answer:

r = 15

Step-by-step explanation:

Volume of a sphere is given by

V = 4/3 pi r^3

4500 pi = 4/3 pi r^3

Divide each side by pi

4500 = 4/3 r^3

Multiply each side by 3/4

3/4 *4500 = 3/4 *4/3 r^3

3375 = r^3

Take the cube root of each side

(3375)^(1/3) = (r^3)^(1/3)

15 = r

7 0

2 years ago