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n200080 [17]
3 years ago
15

Help will be greatly appreciated!!! Write the system of equations for these two lines.

Mathematics
1 answer:
Darya [45]3 years ago
5 0

Answer:

See answer below:

Step-by-step explanation:

Blue: y=2x+1

Red: y=3x-2

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Finding a polynomial of a given degree with given zeros
galben [10]

Since f(x) is a polynomial with 3rd degree, then it will have 3 roots (zeroes)

One of them is real and the other two are complex conjugate roots

Since the real root is 4, then

x = 4

Since the complex root is (1 - i), then

The other root will be the conjugate of it (1 + i)

x = (1 - i)

x = (1 + i)

To find f(x) we will multiply the three factors of it

We can get the factors from the zeroes

x=4

Subtract 4 from both sides

\begin{gathered} x-4=4-4 \\ x-4=0 \end{gathered}

The first factor is (x - 4)

\begin{gathered} x=1-i \\ x-(1-i)=(1-i)-(1-i) \\ x-1+i=0 \end{gathered}

The second factor is (x - 1 + i)

The third factor is (x - 1 - i)

f(x)=(x-4)(x-1+i)(x-1-i)

We will multiply them to find f(x)

\begin{gathered} (x-1+i)(x-1-i)= \\ x^2-x-ix-x+1+i+ix-i-(i^2)= \\ x^2-2x+1-(-1)= \\ x^2-2x+1+1= \\ x^2-2x+2 \end{gathered}

Multiply it by (x - 4)

\begin{gathered} f(x)=(x-4)(x^2-2x+2) \\ f(x)=x^3-2x^2+2x-4x^2+8x-8 \\ f(x)=x^3-6x^2+10x-8 \end{gathered}

The answer is

f(x)=x^3-6x^2+10x-8

5 0
1 year ago
When round off to nearest thousand, the number 42,099​
Roman55 [17]

Answer:42000

Step-by-step explanation:

There is no number higher than 5 after the thousands so you would keep it the same

3 0
3 years ago
Read 2 more answers
Click on file! please help, thank you!! <3​
Elden [556K]
15+3x-4+6x= 9x+11 add 6+3 then subtract 15-4

3y-4x+8x-y= 4x+2y add -4+8 then subtract 3-1

5x+8x+10x-3x= 20x Add 10+5+8 to get 23 then subtract 3
7 0
3 years ago
If AUVW~ ARST, what is the value of x?
Scrat [10]

Answer:120

Step-by-step explanation:

7 0
3 years ago
Venn diagrams can be used to represent the relationship between two categorical claims but not three. True/ False
irga5000 [103]

Answer:

False!

Step-by-step explanation:

A Venn diagram can represent the relationship between several categorical claims, not only two. For example: One bubble is labeled "cats only", another is labeled,"dogs only", and the third -- "birds only". The middle section would be "dog and cats and birds".

4 0
3 years ago
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