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Nata [24]
3 years ago
15

Write a two column proof

Mathematics
1 answer:
Komok [63]3 years ago
8 0

write a 2 column proof for what im going to need more info

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Find a polynomial function of degree 3 with 2, i, -i as zeros.
sergiy2304 [10]

Answer:

p(x)= x^3-2x^2+x-2

Step-by-step explanation:

Here we are given that a polynomial has zeros as 2 , i and -i . We need to find out the cubic polynomial . In general we know that if \alpha , \ \beta \ \& \ \gamma are the zeros of the cubic polynomial , then ,

\sf \longrightarrow p(x)= (x -\alpha )(x-\beta)(x-\gamma)

Here in place of the Greek letters , substitute 2,i and -i , we get ,

\sf\longrightarrow p(x)= (x -2 )(x-i)(x+i)

Now multiply (x-i) and (x+i ) using the identity (a+b)(a-b)=a² - b² , we have ,

\sf  \longrightarrow p(x)= (x-2)\{ x^2 - (i)^2\}

Simplify using i = √-1 ,

\sf \longrightarrow p(x)= (x-2)( x^2 + 1 )

Multiply by distribution ,

\sf \longrightarrow p(x)= x(x^2+1) -2(x^2+1)

Simplify by opening the brackets ,

\sf\longrightarrow p(x)= x^3+x-2x^2-2

Rearrange ,

\sf\longrightarrow \underline{\boxed{\blue{\sf p(x)= x^3-2x^2+x-2}}}

4 0
2 years ago
Alexandra paid \$7$7dollar sign, 7 to park her car for 333 hours at the parking garage. The garage charges an hourly parking rat
NeX [460]
Assuming that the fee is purely based on duration, the equation would look like this:
c= a*p
where c= cost, a= rates per hour, p= hours of parking

Alexandra pays 7$ for 3 hours parking. So, a would be:
c= a*p
7$= a * 3 hr
a= 7$/3hr

Then the final equation would be: 
c= (7/3) *p
8 0
3 years ago
Read 2 more answers
Which ordered pair is the solution to this system of equations?<br> y=2x-3 <br> y=7-0.5x
disa [49]

Answer:

(4, 5)

Step-by-step explanation:

y = 2x - 3

y = 7 - 0.5x

y is already isolated on both equations, set them equal to each other:

2x - 3 = 7 - 0.5x

add 3 to both sides:

2x = 10 - 0.5x

add 0.5x to both sides:

2.5x = 10

divide by 2.5:

x = 4

plug in 4 for x on either equation and solve for y:

y = 2(4) - 3

y = 8 - 3

y = 5

(4, 5)

7 0
3 years ago
Am I right? Doing a quiz.
love history [14]
Yea you’re right
Xcjdejwhwh
4 0
2 years ago
Answer this question right with an explanation and I will mark you brainliest
never [62]

Answer:

8 oz.

Step-by-step explanation:

I say this because, initial value means the value at the start. The candle starts at 8 oz. therefore it is the initial value. The reason it is the weight and not the time is because the weight is the dependent variable.

4 0
3 years ago
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