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4 years ago

If f(x) is a third degree polynomial function , how many distinct complex roots are possible

Mathematics

2 answers:

kow [346]4 years ago

7 0

The answer would be 0 or 2

Leto [7]4 years ago

3 0

Answer:

<h2>Zero complex roots or two complex roots.</h2>

Step-by-step explanation:

First of all, we have to know that complex roots can happen only in pairs, because they are based on the square root of a negative number.

On the other hand, a third degree polynomial can only have 3 roots as solution, because the degree of the polynomial specifies how many roots would have.

So, if we only can have 3 roots, and complex roots can only happen in pairs, then f(x) would have zero complex roots or two complex roots only, those are the unique scenarios.

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A pizza slice is in the shape of a circular sector OAB, with the central angle 0 = 50 deg and a radius of 7cm. 0 A B В Find the

Goryan [66]

Answer:

<em>The perimeter of the pizza slice is 20.1 cm</em>

Step-by-step explanation:

<u>Perimeter of a Sector of a Circle</u>

The arc length of a sector of a circle of radius r and angle θ is given by:

L = rθ

The angle must be expressed in radians.

The total perimeter of the circular sector, including the two radii, is:

P = rθ + 2r

The pizza slice has a radius of r=7 cm and a central angle of θ=50°

Converting to radians:

$\theta=50*\frac{\pi}{180}=\frac{5\pi}{18}$

The perimeter is:

$P = 7*\frac{5\pi}{18} + 2*7$

Calculating:

P = 20.1 cm

The perimeter of the pizza slice is 20.1 cm

6 0

3 years ago

What is the solution to the proportion?

blsea [12.9K]

12/15 = 8/x

Cross multiply:
12*x = 8*15
⇒ 12*x= 120
⇒ (12/12)*x = 120/12
⇒ x= 10.

Final answer: x=10.

Hope this helps~

4 0

3 years ago

Read 2 more answers

Is this the right Answer?

AfilCa [17]

Check out the attached image.

Figure 1 moves to figure 2 after the translation rule (x,y) ---> (x+1, y+2)

Figure 2 moves to figure 3 after the rotation 90 degrees clockwise around the origin

Figure 3 moves to figure 4 after the translation rule (x,y) ---> (x+2, y-3)

Figure 4 is in quadrant IV. The size does not change

-----------------------------------------------

Answer: Choice B) Quadrant IV; no

6 0

3 years ago

This is a picture of a cube and the net for the cube.

Nataliya [291]

Answer:

1196 mm^2

Step-by-step explanation:

That's really well described. All in all you have 6 squares all laid out flat. Each square has a side of 14 mm.

The area of 1 square = 14mm * 14mm = 196 mm^2

The area of 6 squares = 6 * 196 mm^2 = 1176 mm^2

3 0

4 years ago

Upper and Lower Control Limits for a manufacturing process have been set at a level such that the process is expected to produce

ahrayia [7]

ANSWER:

The correct answer is B. False.

STEP-BY-STEP EXPLANATION:

Upper and Lower Control Limits for a manufacturing process have been set at a level such that the process is expected to produce 250 defects per million outcomes. If the Upper and Lower Specifications are set outside these limits then customers will receive even fewer defects per million outcomes . The statement is false.

4 0

3 years ago