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3 years ago

(50 POINTS! HELP!)

Mathematics

1 answer:

aniked [119]3 years ago

7 0

Answer:

The roots of the given equation is x=4,3i,-3i

Step-by-step explanation:

The given cubic equation is

$y=x^3-4x^2+9x-36$

To find the roots we have to equate the equation to zero

ie, $x^3-4x^2+9x-36=0$

It can be done by using Synthetic division method

Therfore [tex](x-1) is not a factor or root

now put x=-1

Therfore [tex](x-1) is not a factor or root

similarly let x=2,-2,3,-3 all not equal to zero so the are not roots.

let x-4 is a factor of given equation

then it satifies the equation ie (x-4) is a root

And it may be written as

[tex](x-4)(x^2+9)

You might be interested in

El triángulo ABC es equilátero y L, M y N son los puntos medios de BC, AB y CA respectivamente. Si MN = 3, ¿cuál es el valor de

Flauer [41]

The value of ML = 3, using the mid-point theorem of triangles.

According to the midpoint theorem, "the line segment of a triangle crossing the midpoints of two sides of the triangle is said to be parallel to its third side and also half the length of the third side."

In the question, we are given that triangle ABC is an equilateral triangle, and L, M, and N are the midpoints of BC, AB, and CA respectively.

Thus, by the midpoint theorem, we can say that:

MN || BC, and MN = (1/2)BC,
ML || AC, and ML = (1/2)AC, and
NL || AB, and NL = (1/2)AB.

Assuming AB = BC = AC = x units, we get:

MN = (1/2)BC = x/2,
ML = (1/2)AC = x/2, and
NL = (1/2)AB = x/2.

Thus, the triangle LMN is an equilateral triangle.

Thus, MN = ML = NL.

Given MN = 3, we can write the value of ML = 3.

Thus, the value of ML = 3, using the mid-point theorem of triangles.

Learn more about the mid-point theorem of triangle at

brainly.com/question/9635025

#SPJ1

The given question is in Spanish. The question in English is:

"Triangle ABC is equilateral and L, M, and N are the midpoints of BC, AB, and CA respectively. If MN = 3, what is the value of ML?"

4 0

2 years ago

Which equation represents a population of 320 animals that decreases at an annual rate of 19%

kotegsom [21]

320 times .19t
t being the number of years

6 0

3 years ago

Help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

ahrayia [7]

Answer:

9. x=-6, y=0

10. x=-9, y=-10

11. x=3, y=-1

Step-by-step explanation:

$2x-9y=-12\\3x+18y=-18$

Multiply the first equation by 2.

$4x-18y=-24\\3x+18y=-18$

Add the equations.

$7x=-42$

$x=-6$

We figured out x now we have to figure out y. To figure out y plug in x into any equation.

$2(-6)-9y=-12$

$-12-9y=-12$

$-9y=0$

$y=0$

Your answer is x = -6 and y = 0 for number nine.

$6x+3y=24\\2x+3y=-12$

Change the signs of the second equation becuase 3y and 3y are both positive. We need one of them to be negative.

$6x+3y=24\\-2x-3y=12$

Add them.

$4x = 36$

$x=9$

Now we have to figure out y.

$2(9)+3y=-12$

$18+3y=-12$

$3y=-30$

$y=-10$

x=-9 and y=-10 is your answer to number ten.

$10x+5y=25\\-7x-3y=-18$

$30x+15y=75\\-35x-15y=-90$

$-5x=-15$

$x=3$

$-7(3)-3y=-18$

$-21-3y=-18$

$-3y=3$

$y=-1$

x=3 and y=-1 is the answer to number eleven. I hope this helps! Let me know if I got anything wrong.

4 0

3 years ago

Read 2 more answers

103 + 21 = _ + 103 please help

lorasvet [3.4K]

This is the commutative property of addition. It basically says, x+y=y+x.
To answer your question, 103+21=21+103

6 0

3 years ago

Read 2 more answers

If speed varies inversely as the time it takes to drive and Kris takes 5 hours driving at 55 mph, what speed will Martin need to

Fudgin [204]

Answer:

55mph . None of the options are correct

Step-by-step explanation:

If the speed varies inversely as the time it takes to drive, then v ∝ 1/t. where;

v is the speed

t is the time taken

Hence;

v = k/t with k being the constant of proportionality.

Since it takes Kris 5 hours when driving at 55 mph, we will substitute v = 55mph and t = 5 hours. into the equation above to get the value of k as shown:

55 = k/5

Cross multiply

k = 55*5

k = 275

Hence, to calculate the speed it will Martin to drive for 5 hours, we will substitute k = 275 and t = 5 into the original equation v = k/t as shownl

v = 275/5

v = 55 mph

Hence, we can conclude that Martin will also need to drive at a speed of 55mph if he wants to take 5hours.

3 0

3 years ago