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2 years ago

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

Mathematics

1 answer:

IRISSAK [1]2 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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How to write out a one-step equation for a word problem. Maggie spent half of the money in her savings account on a new computer

Fittoniya [83]

Answer:

(1/2)s = 345

s = 690 (Maggie's savings balance)

Step-by-step explanation:

For any problem, word problem or otherwise, you start be reading and understanding the problem. You should specifically look for

what you're being asked to find (what is the question to answer)
the information you're given that is relevant to the question asked.

Here, you're asked to find a savings account balance. You're told that $345 is half that amount.

After you decide what you're looking for and the given relevant information, you use the problem statement and your personal knowledge to write one or more equations relating what you know to what you want to find.

A first step for doing this is to define any necessary variables. In this problem, we can use "s" for the original savings balance (in dollars). (I like to choose letters that remind me what they stand for. "x" or "y" can sometimes get mixed up. For a one-variable problem, it doesn't really matter what you call it. It is helpful to be clear about the units of measure of any variables. Confusion there can also lead to errors.)

The problem statement tells us that half the savings account amount is $345, so our equation is ...

(1/2)s = 345

The "one step" required to solve this so to multiply both sides of the equation by 2.

s = 690

Maggie had $690 in her savings account before she bought the computer.

5 0

2 years ago

? Question

Delvig [45]

Answer:

i^32=1

i^25=i

i^86=-1

i^51=-i

Step-by-step explanation:

Follow the Rule of Four of I for this,

i^1= $\sqrt{-1}$

I^2=-1

I^3=-i

I^4=1

5 0

2 years ago

Read 2 more answers

A cube has side length x. One side of the cube is increased by 4 inches, and another side is doubled. The volume of the new rect

AfilCa [17]

Let

x-------> the length side of the original cube

we have

$2x^{3} +8x=450\\2x^{3}=450-8x$

Divide by $2$ both sides

$x^{3}=225-4x$

The system of equations is equal to

$y=x^{3}$ --------> equation $1$

$y=225-4x$ --------> equation $2$

using a graphing tool

see the attached figure

we know that

the solution of the system of equations is the intersection both graphs

therefore

the solution is

$x=5.86\ in$

therefore

<u>the answer is</u>

$5.86\ inches$

6 0

3 years ago

Read 2 more answers

Prove that the sum of the squares of any two odd numbers is always even

ValentinkaMS [17]

Answer:

proof below

Step-by-step explanation:

Remember that a number is even if it is expressed so n = 2k. It is odd if it is in the form 2k + 1 (k is just an integer)

Let's say we have to odd numbers, 2a + 1, and 2b + 1. We are after the sum of their squares, so we have (2a + 1)^2 + (2b + 1)^2. Now let's expand this;

(2a + 1)^2 + (2b + 1)^2 = 4a^2 + 4a + 4b + 4b^2 + 4b + 2

= 2(2a^2 + 2a + 2b^2 + 2b + 1)

Now the sum in the parenthesis, 2a^2 + 2a + 2b^2 + 2b + 1, is just another integer, which we can pose as k. Remember that 2 times any random integer, either odd or even, is always even. Therefore the sum of the squares of any two odd numbers is always even.

6 0

2 years ago

Use synthetic division to solve (x cubed minus x squared minus 17 x minus 15) divided by (x minus 5). What is the quotient?

My name is Ann [436]

Answer:

It is A

Step-by-step explanation:

4 0

1 year 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