Pls answer these correctly I need it ASAP

Answer:

A polynomial function of degree 3 with real coefficients and the numbers 6 and i 3 as some of its zeroes is [tex]p_{3}(x) = x^{3}-6\cdot x^{2}+9\cdot x -54[/tex].

Step-by-step explanation:

A third-order polynomial in standard form is a sum of monomials with natural exponentials such that greatest degree of monomials is 3. This kind of polynomials is described by this definition:

[tex]p_{3}(x) =\Sigma\limits_{i=0}^{3} c_{i} \cdot x^{i}[/tex] (Eq. 1)

Where:

[tex]i[/tex] - Index of a sum component, dimensionless.

[tex]c_{i}[/tex] - i-th coefficient, dimensionless.

Where the highest value of [tex]i[/tex] is the degree of the polynomial.

In addition, the Fundamental Theorem establishes that all polynomials with real coefficients and degree higher than zero have a number of complex roots, an extension of the real set, equivalent to the degree of the polynomial itself.

In our case, we guarantee the existence of three complex roots, of which we know two of them: [tex]r_{1} = 6[/tex] and [tex]r_{2} = i\,3[/tex]. The polynomial can be represented as a product of three binomials:

[tex]p_{3}(x) = (x-r_{1})\cdot (x-r_{2})\cdot (x-r_{3})[/tex] (Eq. 2)

Where [tex]r_{1}[/tex], [tex]r_{2}[/tex] and [tex]r_{3}[/tex] are the roots of the third order polynomial.

If we know that  [tex]r_{1} = 6[/tex] and [tex]r_{2} = i\,3[/tex] and assume that [tex]r_{3} = -i\,3[/tex], the resulting polynomial is:

[tex]p_{3} (x) = (x-6)\cdot (x+i\,3)\cdot (x-i\,3)[/tex]

And by Algebra of real numbers we obtain the polynomial in its standard form:

[tex]p_{3}(x) = (x-6)\cdot (x^{2}+9)[/tex]

[tex]p_{3}(x) = x\cdot (x^{2}+9)-6\cdot (x^{2}+9)[/tex]

[tex]p_{3}(x) = x^{3}+9\cdot x -6\cdot x^{2}-54[/tex]

[tex]p_{3}(x) = x^{3}-6\cdot x^{2}+9\cdot x -54[/tex]

A polynomial function of degree 3 with real coefficients and the numbers 6 and i 3 as some of its zeroes is [tex]p_{3}(x) = x^{3}-6\cdot x^{2}+9\cdot x -54[/tex].

Answer:Total units would be: 3+4 = 7. value of 1 unit = 28/7 = 4. ratio would be 3(4) & 4(4) = 12 & 16

Step-by-step explanation:

Answer:1. 6/9 2. 0.69 3. 6.7

Step-by-step explanation:i think this is correct

Answer:

It is: 6.7%, 6/9, 0.67.

Step-by-step explanation:

Convert all your numbers to decimals.

6.7% = 0.067

6/9 = 0.66... (repeating decimal)

0.67 = 0.67 (already a decimal)

Line the decimals up to make them fair to compare then order them from least - greatest.

Answer:

15,200

Step-by-step explanation:

Answer:

15,200

Step-by-step explanation:

208 is much closer to 200 than 300. it says hundred so look a the hundreds place (208) and round. 250 and up = next hundred number 249 and down = same hundred number

Answer:

The Answer is D

Step-by-step explanation:

Do what answer D tells you to do. Obviously.

Answer:

Sorry, I cant read whole problem. Edit your question and ill fix my answer

Step-by-step explanation:

Answer:

[tex]-0.25[/tex]

The decimal 0.5 represents the fraction 5/10. The decimal 0.25 represents the fraction 25/100.

[tex]\frac{25}{100}[/tex]

-BBBM

Answer:

.65c

Step-by-step explanation:

2.60/4 equals .65

Answer:

.65

Step-by-step explanation:

2.06 divided by 4=.65

Hope this helped!

Answer:

gg

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

15

Answer:

*The Museum and the Coffee Shop lie on the opposite sides of the transversal and form a pair of alternate exterior angles

*The Day Care and the Community Center are supplementary angles and on opposite sides of the transversal.

*The Fire Station and the Community Center are consecutive interior angles lying on the same side of the transversal

Step-by-step explanation:

The transversal is the major road that crosses the other two roads shown in the diagram above.

Applying the knowledge of properties of lines, let's consider each statement given, to ascertain which is true and which is untrue:

Statement 1: 'The Fire Station and the Worship Center lie on the same side of the transversal and form a linear pair."

The fire station and the Worship center are on the same side of the transversal, however, they do not form a linear pair. They are corresponding angles.

Statement is NOT TRUE.

Statement 2: "The Museum and the Coffee Shop lie on the opposite sides of the transversal and form a pair of alternate exterior angles."

This statement is TRUE.

The Museum and the Coffee shop form alternate exterior angles pair.

Statement 3: "The Bank, the Museum, the Coffee Shop, the Worship Center are interior angles."

This is NOT TRUE.

They are all EXTERIOR angles.

Statement 4: "The Day Care and the Park are on the same side of the transversal and form a linear pair."

This is NOT TRUE.

They are consecutive interior angles.

Statement 5: "The Day Care and the Community Center are supplementary angles and on opposite sides of the transversal."

This is TRUE.

Statement 6: "The Bank and the Community Center are on opposite sides of the transversal and form a pair of alternate interior angles"

This is NOT TRUE.

They are on opposite side of the transversal but one the bank is an exterior angle while the community center is an interior angle.

Statement 7: "The Park and the Museum are adjacent angles and form a vertical pair of angles."

This is NOT TRUE.

They do not share the same side, so they can't be adjacent angles. They only share the same vertex, which makes them vertical angles.

Statement 8: "The Fire Station and the Community Center are consecutive interior angles lying on the same side of the transversal."

This is TRUE.

Answer:27 ://///

Step-by-step explanation:

Answer:

$.48 per bottle

Step-by-step explanation:

The unit price is the total price divided by the number of items

2.88/6

$.48 per bottle

Answer:

One rule for dividing fractions is the rule where instead of doing 13/43, you can do 13 times 1/43.

Step-by-step explanation:

Yeah

Answer:

1/4

Step-by-step explanation:

Sample response: First, rewrite the problem as a multiplication problem. Multiply 1/3 by the reciprocal of 4/3, which is 3/4. Then multiply to get 3/12. Simplifying gives the answer of 1/4.

$2.568, cents:5058

Step-by-step explanation:

maybe...

Answer:

6c+6

Step-by-step explanation:

-24/3c+18/3+14c

-8c+6+14c

6c+6

Answer:

Step-by-step explanation:

Answer:

One solution

Step-by-step explanation

x + 1

Combine like terms, so terms with x go together and terms without an x go together

So 2x - x = x

3 - 2 = 1

That's as simplified as it can be

Brainiest please

Answer:

a

f

L

v

o

r

t

e

Step-by-step explanation:

Answer:

Check explanation.

Step-by-step explanation:

y > 3x - 4 = F

y < - 1/2x + 9 = L

y > 3x + 2 = U

y > 5 = R

y < - 2/3x = I

y > 1/3x + 3 = T

These are all the ones I can find, call me back if you still need help.

This is the correct way to solve the problem :

You add 3 and 8 together.

you see if it equals -2 or not.

I hope this helps!

Answer:

jenny the first step is to subtract 8

Step-by-step explanation:

Answer:

7 people

Step-by-step explanation:

Answer:

The answer is

[tex]y - 4 = - 10(x - 1)[/tex]

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

where

m is the slope

( x1 , y1) is the point

So we have the final answer as

[tex]y - 4 = - 10(x - 1)[/tex]

Hope this helps you

Answer:

H₀: μ = 550 vs. Hₐ: μ < 550.

Step-by-step explanation:

A researcher believes that the mean scores for this year's college seniors in the Philippines who are interested in pursuing graduate management education will be less than 550.

The mean sore for all test‑takers is μ = 550 with a standard deviation of σ = 120.

A random sample of n = 250 college seniors in the Philippines interested in pursuing graduate management education who plan to take the GMAT were selected.

The null and alternative hypotheses for the study of the performance on the GMAT of college seniors in the Philippines is as follows:

H₀: The mean scores for this year's college seniors in the Philippines who are interested in pursuing graduate management education will not be less than 550, i.e. μ = 550.

Hₐ: The mean scores for this year's college seniors in the Philippines who are interested in pursuing graduate management education will be less than 550, i.e. μ < 550.

Answer:

2.10 is greater than 2.09

Step-by-step explanation:

because 2.10 has more equation than 2.09

Answer:

2.10 is GREATER than 2.09 so **TRUE**

Step-by-step explanation:

hope this helps </3

Answer:

I think it would be (18-10)/8=1

Step-by-step explanation:

Since she has 10 left over you first have to subtract 10 from 18 which would equal 8. Then you take that 8 and divide it by 8 because there are 8 pies. Then you would get the final answer of 1 egg

Answer:

Tulips

Step-by-step explanation:

7÷2 is 3.50$ Each Rose costs 3.50$

9÷3 is 3$ Each Liliy costs 3$

11÷4 is 2.75$ Each Tulip costs 2.75$

Answer:

ok

Step-by-step explanation: