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2 years ago

Can someone please help me with this problem ASAP thank you

Mathematics

1 answer:

Step2247 [10]2 years ago

6 0

3-degree polynomial is f(x )= $[x^{3 }-\frac{9}{7} x^{2}+9x-\frac{81}{7} ]$

Step-by-step explanation:

Given that polynomial f(x) is 3-degree polynomial and Zeros/Roots at x= $\frac{9}{7}$ and x= -3i

In order to find the equation of a 3-degree polynomial, we need 3 roots.

Here, One of Root is real number x= $\frac{9}{7}$ and another root is an imaginary number x=(-3i)

It is necessary to note that imaginary roots always come in pair of conjugates

Therefore, Comjugate0 of x =(-3i) is 3rd root

Conjugate of (-3i) is 3i

Evaluting equation of polynomial,

= $[x-3i][x+3i][x-\frac{9}{7} ]$

= $[x^{2}-(3i)^{2}][x-\frac{9}{7} ]$

= $[x^{2}-(9)(i)^{2}][x-\frac{9}{7} ]$

= $[x^{2}+9][x-\frac{9}{7} ]$

f(x )= $[x^{3 }-\frac{9}{7} x^{2}+9x-\frac{81}{7} ]$

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Graph the function. Give domain and range in interval form.

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Answer:

Domain: all real values of x

Range: all real values of y

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If the first function was:

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3 years ago

I need help with these plzz

dimaraw [331]

Uhh my brains hurts looking at that

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3 years ago

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wolverine [178]

Answer:

Ivy is 6 years old and Rose is 12 years old.

Step-by-step explanation:

To solve this problem, two variables are necessary since we have two unknown variables: Ivy's age and Rose's age.

Ivy's age will be $x$

and Rose's age will be $y$

"Ivy is half as old as her sister":

$x=\frac{y}{2}$

this will be our fist equation.

"In six years, Ivy will be two-thirds as old as Rose"

in six years Ivy will have $x+6$ years, and Rose will have $y +6$ years, so for this sentence we have the equation:

$x+6=\frac{2}{3}(y+6)$

this will be our second equation.

Substituting the value of x from the first equation into the second, and solving for y(Rose):

$\frac{y}{2}+6=\frac{2}{3} (y+6)\\\frac{y+12}{2} =\frac{2}{3} (y+6)\\y+12=\frac{4}{3} (y+6)\\3(y+12)=4(y+6)\\3y+36=4y+24\\36-24=4y-3y\\12=y$

Rose is 12 years old.

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3 years ago

Suppose f(x) = 2x-1 and g (x) = x + 1/a. Which value(s) of a would make the composite functions commutative? A. 0 B. 2 C. any va

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Answer:

Step-by-step explanation:

A commutative function means that when you insert one function in space of x in the other function, they will equal x. The equation is f(g(x)) = g(f(x)) = x

So, 2( $\frac{x+1}{a}$ ) - 1 = $\frac{(2x-1)+1}{a}$

If you multiply both sides by a, you get 2a( $\frac{x+1}{a}$ ) - a = (2x-1)+1

Simplify it 2a( $\frac{x+1}{a}$ ) - a = 2x

Add a to both sides 2a( $\frac{x+1}{a}$ ) = 2x +a

The two as on the left cancel out 2(x+1)=2x+a

Distribute the 2 2x+2=2x+a

Then subtract 2x from both sides 2 = a

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3 years ago

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The largest of the Great Pyramids in Egypt was built with a square base, having edges that measured 754 feet and a height of 418

12345 [234]

Answer:

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The volume of a pyramid is given by the following formula:

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The side of the base is 754 feet, so the base area is:

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2 years ago