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3 years ago

Make a sketch of a fourth degree polynomial function with two complex roots and two real roots

Mathematics

1 answer:

IRISSAK [1]3 years ago

7 0

I cannot really graph it but I will try my best to explain.

When you have a coordinate plane draw from right to left, up to down.

Now starting from righthand top corner, draw a smooth curve just like how you will draw a quadratic equation, through the x axis then curve back making the graph touch the axis at 2 points. That's the 2 real roots

Now make another curve down but this time not touching the x axis and then curving back up to the top left corner, this meant the 2 complex roots.

This is not the only way to do it, as long as one complete curve is not touching the x axis and another complete curve, weather as a whole or combined is touching the x axis at 2 points, it has 2 real and complex roots.

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What is the behavior?

wlad13 [49]

Answer:

as x -> -∞, y-> ∞ and as x-> ∞, y -> -∞ - <u>Second option</u>

Step-by-step explanation:

If you look carefully to the left, when x becomes negative the y value becomes positive. On the right, x becomes positive and y becomes negative.

6 0

3 years ago

What is the perimeter of ABC with vertices A (-2,9) , B (7,-3) , C (-2,-3) in the coordinate plane?

docker41 [41]

9514 1404 393

Answer:

D. 36 units

Step-by-step explanation:

Using the distance formula, we find the length of AB to be ...

d = √((x2 -x1)² +(y2 -y1)²)

d = √((7-(-2))² +(-3-9)²) = √(81 +144) = √225 = 15

The line BC is horizontal, so its length is the difference of the x-coordinates:

BC = 7 -(-2) = 9

The line AC is vertical, so its length is the difference of the y-coordinates:

AC = 9 -(-3) = 12

The sum of the lengths of the sides of the triangle is ...

P = 15 + 9 + 12 = 36

The perimeter is 36 units.

6 0

3 years ago

Mrs Davidson is setting up chairs for the upcoming band performance she has 4 rectangular sections to fill with chairs she plans

diamong [38]

First, multiply 20 x 25 to find the amount of chairs per section:
20 x 25 = 500
Now, multiply 500 x 4 to find the total amount of chairs for 4 sections:
500 x 4 = 2000

Hope this helps!! :)

8 0

3 years ago

Read 2 more answers

For 7 and 8, find the maximum or minimum point of the parabola

Leni [432]

Answer: 7) Max: y = 52

8) Min: y = -51

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

The Max/Min is the y-value of the intercept.

Max is when the a-value is negative.
Min is when the a-value is positive.

First, find the x-value of the vertex using the Axis of Symmetry formula:

x = -b/2a. Then plug the x-value into the equation to find the y-value.

7) y = -2x² - 16x + 20

↓ ↓ ↓

a= -2 b= -16 c=20

$\text{AOS:}\quad x=\dfrac{-b}{2a}\quad =\dfrac{-(-16)}{2(-2)}\quad =\dfrac{16}{-4}\quad =-4$

Max: y = -2(-4)² - 16(-4) + 20

= -2(16) + 64 + 20

= -32 + 84

= 52

*********************************************************************************************

7) y = x² + 12x - 15

↓ ↓ ↓

a= 1 b= 12 c= -15

$\text{AOS:}\quad x=\dfrac{-b}{2a}\quad =\dfrac{-(12)}{2(1)}\quad =\dfrac{-12}{2}\quad =-6$

Max: y = (-6)² + 12(-6) - 15

= 36 - 72 - 15

= 36 - 87

= -51

8 0

3 years ago

A line passes through the points (1, 2) and (3, 1). What is the slope of the line?

erastovalidia [21]

M = 1 - 2 / 3 - 1
m = - 1 / 2

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4 years ago

Make a sketch of a fourth degree polynomial function with two complex roots and two real roots​

Make a sketch of a fourth degree polynomial function with two complex roots and two real roots