Find all the zeroes of g(x)=4x^4+4x^3-11x^2-12x-3

Answers

Answer 1

Answer:

The zeroes of [tex]g(x)=4x^4+4x^3-11x^2-12x-3[/tex] are [tex]-\sqrt{3}, -\frac{1}{2}, \sqrt{3}[/tex], or approximately [tex]-1.732, -0.500, 1.732[/tex].

Step-by-step explanation:

Graphical calculator way (probably intended)

By inputting the function in a graphical calculator we can see that the roots of the graph of [tex]g[/tex] are about [tex]x=-1.732, x = 0.500, x = 1.732[/tex] (make sure you click on the points of interests).

Algebraic way (probably not intended because of obscure factoring)

Notice that [tex]g(x) = 4x^4+4x^3-11x^2-12x-3 = (2x-1)^2(x^2-3).[/tex] So the roots can be calculated with [tex](2x-1)^2 = 0 \vee x^2 - 3 = 0[/tex], yielding [tex]x = -\frac{1}{2} \vee x = \pm\sqrt{3}[/tex].


Related Questions

SOMEONE HELP ME PLEASE ASAP AND SHOW THE WORK I WILL MAKE YOU BRAINLIEST AND GIVE YOU A GOOD RATE!!!!! SOMEONE HELP ASAPPPPPPPPPPPPPP!!!!!!!!!!!!!

Answers

Answer:

5x+10=30

Step-by-step explanation:

sorry, it does not have any works/steps in forming this equation.

Solving equation(if needed):

5x+10=30

5x=20

x=4

Answer: you can count by fives 5,10 15,20,25,30

Step-by-step explanation:

help lol, show wurk cuz u know how teachers are these days

Answers

Answer:

Infinitely many solutions (the lines are identical)

Step-by-step explanation:

Let's start by getting each equation into slope intercept form (y=mx+b)

-14x-14y=28

-14x-28=14y

-x-2=y

and

7x+7y= -14

7x+14= -7y

-x-2=y

We can see that these two lines are identical which means that there are an infinite amount of answers

A school survey found that 24 out of 30 students prefer chocolate milk to white milk. If the school has 500 students, which is the best
prediction of the total number of students who prefer chocolate milk?

Answers

Answer:

Around 401 students would prefer chocolate milk.

Step-by-step explanation:

500/30=16.66667...

24*16.7=400.8

you cant have an eighth of a vote so you round to 401

Find the area of the circle to the nearest tenth. 12 in

А) 144л in^2

B) 6л in^2

C) 12л in^2

D) 36л in^2​

Answers

Answer:

The answer is B

I had search that up before

Han's bank account has a balance that is overdrawn and his account balance is -$13.00. How much would he need to deposit in order to get his bank account balance to $10.00?

Answers

Answer:

$23.00

Step-by-step explanation:

Formula: -13 + d = 10 (d = deposit)

To get d by itself, add 13 to 10: d = 23

Therefore, you need to deposit $23.00.

pls help. ❤️ math!! pls

Answers

Answer:

i could be wrong but i think it is between July and September.

Step-by-step explanation:

because it went from 82 to 70 to 60 dollars while in May to August went from 82 to 66 to 82 to 70 so it increased back while answer A did not

Solve the system of equations by substitution.
3x + 4y - 12
x + 7y = 8

Answers

Step-by-step explanation:

[tex]3x + 4y = 12 \\ x + 7y = 8 \\ x = 8 - 7y \\ 3(8 - 7y) + 4y = 12 \\ 24 - 21y + 4y = 12 \\ 12 = 17y \\ y = 0.705 \\ x = 8 - 7(0.705) = 3.065 = 3.07[/tex]

Can someone please answer this please

Answers

D) (3,3)
E) (-5,0)
F) (-2,2)

The measure of angle Q is 70 degrees. Find the measure of angle P.

Answers

Answer:

∠ P = 40°

Step-by-step explanation:

Since PQ = PR then the triangle is isosceles and the base angles are congruent, then

∠ R = ∠ Q = 70° , so

∠ P = 180° - (70 + 70)° ← sum of angles in triangle is 180°

∠ P = 180° - 140° = 40°

In a classroom of 30 students, in which 18 are girls and 12 are boys, what is the probability that two boys are selected without replacement by the teacher?

Answers

Answer:

about 4 out of 10

Step-by-step explanation:

Probabilities are used to determine the chances of events

The probability that two boys are selected is 0.1517

The given parameters are:

Boys = 12

Girls = 18

Total = 30

Given that the selection is without replacement, the probability that two boys are selected is:

p = 12/30 * 11/29

So, we have:

p = 0.1517

Hence, the probability that two boys are selected is 0.1517

Read more about probability at:

https://brainly.com/question/25870256

Are x and y proportional?

Answers

The answer is yessssss

Answer:

yes they are

Step-by-step explanation:

-6 + -8 10 points plz help

Answers

Answer

The answer is negative 14.

Step-by-step explanation:

When you add a negative by a negative it equals a negative. Like if you add 1 + 1 it's going to equal 2 which is a positive, not a negative. So the answer is technically 8 + 6 which is 14 and all you have to do is add a negative sign.

A student borrows $10,000 to pay for college at a 3.5% annual interest. What is the equation that will model how much the student owes, P, after some number of years, t ?
P = ______(___)^t

How much money will the student owe after 8 years of not paying anything on the loan? ​

Answers

Answer: I got 2857.14

Step-by-step explanation:

Answer:

the first guy was write i checked

500 grams of quarters

Answers

Answer:

0.04409 quarter

Step-by-step explanation:

What is the length of CA on the number line?

Answers

Answer:-1

Step-by-step explanation:

-5 + 4 = -1

what is 1/4 x 3/7 plzz

Answers

1/4 x 3/4 =3/28 or 0.10714285714 in decimal form

is 16/24 equivalent to 2/3

is 10/16 equivalent to ⅔​

Answers

Answer:

Yes for the first, no for the second

x + y = 5.90
2x + 4y = 16.80

Answers

What are you looking for ?
2+4y(5.90-y)=16.80

We move all terms to the left:

2+4y(5.90-y)-(16.80)=0

We add all the numbers together, and all the variables

4y(-1y+5.9)+2-(16.8)=0

We add all the numbers together, and all the variables

4y(-1y+5.9)-14.8=0

We multiply parentheses

-4y^2+23.6y-14.8=0

a = -4; b = 23.6; c = -14.8;
Δ = b2-4ac
Δ = 23.62-4·(-4)·(-14.8)
Δ = 320.16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
y1=−b−Δ√2ay2=−b+Δ√2a

y1=−b−Δ√2a=−(23.6)−320.16√2∗−4=−23.6−320.16√−8

y2=−b+Δ√2a=−(23.6)+320.16√2∗−4=−23.6+320.16√−8

at one school there are 81 girls. This corresponds to 45% of all students at the school. how many boys go to school?

Answers

81/.45 =180
180 - 81 = 99 boys

About 16 weeks ago, there were 59 mold spores found in a garden. After a few weeks of observation, it is determined that the number of mold spores in the garden is tripling every 8 weeks.

The number of mold spores, M, at any given time in the garden is equal to the product of the initial amount of spores, I, and 3 to the power of n, where n is the number of times the amount of mold spores has tripled.

How many mold spores are in the garden today?
A.
1,593
B.
354
C.
387,099
D.
531

Answers

Answer:

D. 531

Step-by-step explanation:

I NEED THIS BY M TONIGHT!! HELP YA SIS OUT -w-
Maribeth saved $25 per week. She has saved a total of $600. For how many weeks has Maribeth been saving?

Answers

Answer:

24 weeks.

Step-by-step explanation:

25x = 600

divide both sides by 25 to get:

x = 24

Answer:

24 weeks

Step-by-step explanation:

use y = mx+b

      y = total amount saved = $600

      m = amount saved per week = $25

      x = number of weeks saving = ?

      b is not needed in this problem

600 = 25X

x = 600/25

x = 24

if there are 2 beats in each measure and the quarter notes get the beat ( equals 1), what time signature would you be in ​

Answers

Answer:

2/4

Step-by-step explanation:

because if there are two in each measure that automatically makes it two beats out of 4.

does anyone know the answer

Answers

Answer:

intercept = (1,2)

Step-by-step explanation:

It would be ( 1 , 2 )

You would put the 1 in the first box and 2 in the second box. If you look closely there is a comma in between the boxes and parentheses outside of the boxes and comma.

What is the equation of the line that has a slope of 3 and goes through the point (-3,-5)?
A.
y = 3x + 4
B.
y = 3x − 14
C.
y = 3x − 4
D.
y = 3x + 12

Answers

The answer is A. y=3x+4

Answer:

 A. y = 3x + 4

Step-by-step explanation:

got it correct!

Find the value of x in the triangle shown below.

Answers

Answer:

[tex] x = \sqrt{17} [/tex]

Step-by-step explanation:

By Pythagoras Theorem:

[tex]x = \sqrt{ {9}^{2} - {8}^{2} } \\ \\ x = \sqrt{81 - 64} \\ \\ x = \sqrt{17} [/tex]

Max sells lemonade for $3 per cup and candy for $2 per bar. He earns $450 selling lemonade and candy. If Max sold 90 bars of candy, how many cups of lemonade did he sell?

Answers

found this sheet, hope it helps !!

List the factors of 0???

Answers

Answer: 7, 17, 96, are the factors of 0.

Step-by-step explanation:

Answer:

0 ,7, 17, 96

Step-by-step explanation:

I need your help on this.

Answers

Answer:

46 inches

Step-by-step explanation:

Answer:

The answer is 46 inches.

Step-by-step explanation:

138 / 3 = 46.

What is an equation of the line that contains the point (0, -5) and a slope of 1/4

Answers

Answer:

y=1/4x-5

Step-by-step explanation:

Answer:

y = 1/4x - 5

Step-by-step explanation:

y = mx + b is the equation of a straight line.

m = slope, b = y intercept. (y intercept is the point where the line of the graph crosses the y axis)

(0, -5) is the y intercept (if you were to graph this point, it would be on the y axis, fitting the previous description)

the slope is 1/4

replace each variable in the equation, and you get:

y = 1/4x - 5

JOEY
Hoey
Boey
Goey
ABCDEFGHIJKLMNOPQRSTUVWXYZ

Answers

Answer:

jayfeather in the house

Step-by-step explanation:

Answer:

zoey :)

Step-by-step explanation:

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