All categories

2 years ago

If f(x) is a third degree polynomial function how many distinc complex rules are possible ?

Mathematics

1 answer:

Thepotemich [5.8K]2 years ago

5 0

Answer:

Step-by-step explanation:

According to the fundamental theorem of Algebra

A polynomial of degree 3 has 3 roots

However, complex roots occur in conjugate pairs, hence

There can only be 2 distinct complex roots.

You might be interested in

Past the core

Basile [38]

Answer:

Building's shadow length = 180 feet.

Step-by-step explanation:

Given:

A 50-foot flagpole is at the entrance of a building that is 300 feet tall.

Its forms a right angled triangle from both ends,both of them are similar because the angle of the sun is the same at the same time of day.

From similar triangle property we can say that.

⇒ length of the building shadow times height of the flagpole's = length of the flagpole's shadow times height of the building

$\frac{length\ of\ the\ building\ shadow}{height\ of\ the\ building} =\frac{length\of\ the\ flagpole's\ shadow}{height\ of\ the\ flagpole's}$

Plugging the values in the above equation we have,

Let length of the building shadow ='x' feet

⇒ $\frac{x}{300} =\frac{30}{50}$

⇒ $\frac{x}{300}\times 300 =\frac{30}{50}\times 300$

⇒ $x=\frac{300\times 30}{50}$

⇒ $x=\frac{9000}{50}$

⇒ $x=180$ feet.

So the length of the building shadow is 180 feet.

5 0

2 years ago

Find the slope and write an equation of the line which passes through the points. (−3, 9) and (−3, −5)

Sedbober [7]

Answer:

Slope: undefined

Equation: x=-3

Step-by-step explanation:

To find the line that passes through the points, you first want to find the slope. The formula for slope is $m=\frac{y_2-y_1}{x_2-x_1}$ . Once we have the slope, we can use any given point to plug in to find the y-intercept.

$m=\frac{-5-9}{-3-(-3)} =\frac{-14}{0}$

We can see that the slope is undefined. If we look at the point, we notice that they both have the same x-coordinate. This let's us know that the equation is x=-3.

4 0

2 years ago

Please help with number 3 i dont understand it

prisoha [69]

I believe the answer is A.

Absolute value best proves my answer.

Absolute value is how far a number is from zero.

6 0

2 years ago

Read 2 more answers

Please help me for brainiest):):):):):):

bazaltina [42]

Answer:

You can find 0.5% of a number by multiplying the number by

Step-by-step explanation:

3 0

2 years ago

a recipe uses 1 1/4 cups of milk to make 10 servings. if the same amount of milk is used for each serving, how many servings can

Anestetic [448]

Answer:

128 servings can be made using 1 gallon of milk.

Step-by-step explanation:

Given that:

$1\frac{1}{4}$ cups of milk make 10 servings

$1\frac{1}{4}$ can also be written as 1.25

Ratio of cups of milk to servings = 1.25 : 10

1 gallon = 16 cups

Let,

x be the number of servings made from 1 gallon

Ratio of cups of milk to servings = 16 : x

This is a direct proportion

1.25 : 10 :: 16 : x

Product of mean = Product of extreme

10*16 = 1.25x

160 = 1.25x

1.25x=160

Dividing both sides by 1.25

$\frac{1.25x}{1.25}=\frac{160}{1.25}\\x=128$

Hence,

128 servings can be made using 1 gallon of milk.

3 0

2 years ago