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3 years ago

Write a polynomial equation of degree 3 such that two of its roots are 2 and an imaginary number

Mathematics

1 answer:

natta225 [31]3 years ago

5 0

$(x-2)(x^2+1)=x^3+x-2x^2-2=x^3-2x^2+x-2$

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Determine the slope of the line 8x − 4y − 9 = 0.

aksik [14]

Answer:

Step-by-step explanation:

1) if to re-write the given equation in form y=sx+i, where s - slope, i - interception, then

2) 4y=8x-9; ⇔ y=2x-2.25, then

3) the required slope is 2.

8 0

2 years ago

A playground is being designed where children can interact with their friends in certain combinations. If there is 1 child, ther

mariarad [96]

<h2>Answer:</h2>

Recursive equation for the pattern followed is given by,

$a_{n}=a_{n-1}+(n-1)^{2}$

<h2>Step-by-step explanation:</h2>

In the question,

The number of interaction for 1 child = 0

Number of interactions for 2 children = 1

Number of interactions for 3 children = 5

Number of interaction for 4 children = 14

So,

We need to find out the pattern for the recursive equation for the given conditions.

So,

We see that,

$a_{1}=0\\a_{2}=1\\a_{3}=5\\a_{4}=14\\$

Therefore, on checking, we observe that,

$a_{n}=a_{n-1}+(n-1)^{2}$

On checking the equation at the given values of 'n' of, 1, 2, 3 and 4.

At,

n = 1

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{1}=a_{1-1}+(1-1)^{2}\\a_{1}=0+0=0\\a_{1}=0$

which is true.

At,

n = 2

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{2}=a_{2-1}+(2-1)^{2}\\a_{2}=a_{1}+1\\a_{2}=1$

Which is also true.

At,

n = 3

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{3}=a_{3-1}+(3-1)^{2}\\a_{3}=a_{2}+4\\a_{3}=5$

Which is true.

At,

n = 4

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{4}=a_{4-1}+(4-1)^{2}\\a_{4}=a_{3}+9\\a_{4}=14$

This is also true at the given value of 'n'.

Therefore, the recursive equation for the pattern followed is given by,

$a_{n}=a_{n-1}+(n-1)^{2}$

3 0

3 years ago

PLEASE ANSWER + BRAINLIEST!!!

kap26 [50]

The answer is C. The middle term should be -6 and not -12.

3 0

3 years ago

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Solve for the indicated variable. 8y + 7x = 9 for x

neonofarm [45]

Answer:

8y + 7x-7x=x-7x

8y=-6x

So am not sure but hope I helped maybe u can get a solution or way to answer the question

4 0

3 years ago

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Find m2V. V W (2x + 29) (10x – 27)° Y

Murrr4er [49]

Answer:

uuhjuijjjjjj

Step-by-step explanation:

u7uu8866g b.i kou yfh89jj

4 0

3 years ago