Find the zeros of the cubic function g(x)=3x³+4x²-4x

Answers

Answer 1

Answer:

x = -2, 0, 2/3

Step-by-step explanation:

3x³ + 4x² - 4x = 0

x(3x² + 4x - 4) = 0

x(3x² + 6x - 2x - 4) = 0

x(3x - 2)(x + 2) = 0

ZEROs

x = 0

3x - 2 = 0

x = 2/3

x + 2 = 0

x = -2

Hope this helps!


Related Questions

A car used 1/32 of a gallon of gas to drive ¼ of a mile. At this rate, how many miles can the car travel using 1 gallon of gas?

Answers

8 miles using 1 gallon of gas

[tex]\sf \dfrac{1}{32} \ gallon \ gas \rightarrow \dfrac{1}{4} \ mile[/tex]

[tex]\sf 1\ gallon \ gas \rightarrow \dfrac{\dfrac{1}{4}}{\dfrac{1}{32}} \ mile[/tex]

[tex]\sf 1\ gallon \ gas \rightarrow \dfrac{0.25}{0.03125} \ mile[/tex]

[tex]\sf 1\ gallon \ gas \rightarrow 8 \ mile[/tex]

1/32 gallon used to cover 1/4mile

1gallon will be used

1/4÷1/321/4×321(8)8mi

Answer the following about estimating 509/8.

Answers

Answer:

Step-by-step explanation:

509/8 is 63.625

480/8 is 60

560/8 is 70

The closest answer to the real value is 480/8 is 60. This is an underestimate.

The answer is
509/8 = 63.625

This one is a little tricky, if you can help please do

Answers

Answer:

Answer:

3.5 fluid ounces

Step-by-step explanation:

In this question, we are asked to calculate the capacity in fluid ounce of a cone-shaped cup.

To solve this, we need to calculate the volume of the cup.

Mathematically, the volume of a cone =

1/3 * π * r^2 * h

Where r = d/2 = 2.7/2 = 1.35 inches

h = 3.3 inches

By substituting this, we have

V = 1/3 * 3.14 * 1.35^2 * 3.3 = 6.3 cubic inch

Now we proceed to calculate the capacity

From the question, we are told that ;

1 fluid ounce = 1.8 cubic inch

This means

x fluid ounce = 6.3 cubic inch

x = 6.3/1.8

x = 3.5 fluid ounces

Step-by-step explanation:

Please mark as brainliest

Write the number for nineteen million fifty thousand.

Answers

Answer:

19,050,000

Step-by-step explanation:

19 million and then 50 thousand

Answer:

[tex]beinggreat78~here~to~provide![/tex]

The number in standard form is...

19,050,000

Read each of the following statistical questions. Write a description of the dot plot of the data collected to answer what the question might look like.

Answers

Answer:

Step-by-step explanation:

PLEASE HELP ASAP ILL GIVE BRAINLIEST IF CORRECT

△ABC has interior angles with measures x°, 100°, and 70°, and △DEF has interior angles with measures y°, 70°, and 50°.

Using the given information, which statement is true?

The two triangles are not similar because x≠y .

The triangles are similar because they each have an interior angle with a measure 70°.

The two triangles are not similar because the interior angles are congruent but the side lengths are different.

The two triangles are not similar because y = 60 so it is impossible to have three congruent angles.

Answers

So first of all you can find x and y because all triangles have interior angles that add up to 180 degrees.

X= 10 degrees
Y= 60 degrees

Looking at the options, we see that the first statement is true. And if the angles are not equal, the triangles are not able to be similar.

A certain fraction has a denominator of 8. It is less than 1/2 but
more than 1/4. What is the fraction?

Answers

Answer:

3/8

Step-by-step explanation:

4/8 is a half and 2/8 is a quarter, 3/8 is in between those 2 boundaries

The answer is 3/8
1/2 =4/8
1/4 =2/8

brainliest but have to show the work on how to do it

Answers

3.1847 round that. i got that because i mutioliee 5 by 2 then divided by 3.14
3.1847 is the answer is the same as the other person

Eddie purchased 15 boxes of paper clips and 7 packages of index cards for a total of $55.40. Finn bought 12 boxes of paper clips and 10 packages of index cards for $61.70. Find the cost of one box of paper clips and one package of index cards

Answers

The cost of one box of paper clips is $1.85 and the cost of one package of index cards is $3.95

Step-by-step explanation:

Eldora and Finn went to an office supply store together

Eldora bought 15 boxes of paper clips and 7  packages of index cards for a total cost of $55.40

Finn bought 12 boxes of paper clips and 10 packages of  index cards for a total cost of $61.70

We need to find the cost of one box of paper clips and the cost of one package of  index cards

Assume that the cost of one box of paper clips is $x and the cost of one package of  index cards is $y

∵ x represents the cost of one box of paper clips

∵ y represents the cost of one package of  index cards

∵ Eldora bought 15 boxes of paper clips and 7  packages of

 index cards for a total cost of $55.40

∴ 15x + 7y = 55.4 ⇒ (1)

∵ Finn bought 12 boxes of paper clips and 10 packages of  

 index cards for a total cost of $61.70

∴ 12x + 10y = 61.7 ⇒ (2)

Now we have system of equations to solve it

Multiply equation (1) by -10 and equation (2) by 7 to eliminate y

∵ -10(15x) + -10(7y) = -10(55.4)

∴ -150x - 70y = -554 ⇒ (3)

∵ 7(12x) + 7(10y) = 7(61.7)

∴ 84x + 70y = 431.9 ⇒ (4)

Add equations (3) and (4)

∵ (-150x + 84x) + (-70y + 70y) = (-554 + 431.9)

∴ -66x = -122.1

- Divide both sides by -66

∴ x = 1.85

Substitute the value of x in equation (1) or (2) to find y

∵ 12(1.85) + 10y = 61.7

∴ 22.2 + 10y = 61.7

- Subtract 22.2 from both sides

∴ 10y = 39.5

- Divide both sides by 10

∴ y = 3.95

The cost of one box of paper clips is $1.85 and the cost of one package of index cards is $3.95

(this is an answer I got previously)

I can confirm that their answer is correct

The first three terms of an arithmetic sequence are as follows.

Answers

Answer:

16,20

Step-by-step explanation:

As shown, you add four by each.

4+4=8

8+4=12

So, 12+4=16

16+4=20

Answer:

16 and 20

Step-by-step explanation:

In the arithmetic squence, we can tell that 4 is being added to each term.

Thus, we obtain the following rule:

4x  [Where "x" is the xth term]

To find the next two terms in the sequence, we need to determine the fourth and fifth term of the sequence. Let us substitute the "4" and "5" in the rule to determe the next two terms in the sequence.

Determining the 4th term of the sequence:

⇒ 4x

⇒ 4(4)

⇒ 16

Determining the 5th term of the sequence:

⇒ 4x

⇒ 4(5)

⇒ 20

Thus, the next two terms are 16 and 20.

The net of a square pyramid is shown below what are the possible areas for a single phase in the slab check all that apply 11 m² 15 m² 24 m² 25 m² 30 m²

Answers

Answer:

25 so yeah welcome should be sorry if I not but try it!

There is a pair of parallel sides in the following shape.

What is the area of the shape?

Answers

Answer:

15

Step-by-step explanation:

3x3 plus 7x3 = 30 divided by 2

The area of the quadrilateral is equal to 15 square units.

What is an area?

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the quadrilateral in a two-dimensional plane is called the area of the quadrilateral. A quadrilateral is a four-sided polygon with four edges and four corners in geometry.

Given that the quadrilateral has a height of 3 units, the base is 3 units and the upper sides are 7 units.

The area of the quadrilateral is calculated by the formula,

Area = (1/2) x h x (a + b)

Substitute the values in the formula and calculate the area,

Area = (1/2) x 3 x (7 + 3)

Area = (10 / 2) x 3

Area = 5 x 3

Area = 15 square units

To know more about an area follow

https://brainly.com/question/27991573

#SPJ2

ASAP HELP I need to turn this in

Answers

Answer:

1. The greater range is the girls set.

2. The one with the greater median is the girls and the median is 110.

Step-by-step explanation:

The answers for the boys range from 60 to 120. This is a range of 60. For the girls, it is from 70 to 150, and that is a range of 80. The median(avg of middle points) of the boys is 90 and the median of the girls is 110(avg of 100 and 120).

A. The greater RANGE is the set of girls
B. The one with the greater MEDIAN is the set of girls their median was 10

If you need an explanation just ask
Hope this helps

Answer the following about estimating 5,392/7.

Answers

Answer:

5600/7

It is an overestimate

The answer is
5,392/7 = 770.29

find the quotient of 156.38 and 100.

Answers

the quotient is 1.5638

Answer:

move the decimal two times to the left and you get 1.5638

Answer ASAP! but only if you know 100%, and whoever gets it right can have brainliest

Answers

Answer:

the third one

Step-by-step explanation:

7 absolute is 7 absolute of any number is positive

I agree with The third one

WILL CHOOSE BRAINLIEST, which statement is not true?

Answers

Answer:

B. 7^12/7^15=7^3 would be not true.

I’m with try hard on this one the answer is B

Hey There ,
Please Help Me With This Question ! Dont Forget To Show Your Work Thank You <3
-Needs Answer Right Now
-

Answers

1.12/.32= 3.5pounds
3.5-1.25=2.25pounds

Hope this helps :(

SOMONE HELPPPP PLEASEE!!

Answers

Answer:

animal weights 15 pounds at birth

please make this answer brainliest If I helped you!

Answer:

animal weights 15 pounds at birth

Step-by-step explanation:

What can we say about -E?

Answers

A is the answer I had that question before I understand how dreadful it is

Answer:

-E=A

Step-by-step explanation:

e is 4 segments away from zero in a positive direction. assuming that each segment has a value of one you are at 4 and the point a is at -4 wich is the negative version of 4 therefor option A is correct

A plastic bin in the shape of a cube contains 900 marbles, each with a volume of 8 in?. If the cube has side lengths of 2 feet, find the volume of the empty space in the bin (in cubic inches).

HELP QUICK ITS SO DIFFICULT

Answers

900 x 8 in , 2ft in cubic inches, guessing

Students are comparing the decimals 13.310, 13.28, and 13.301

Please put these numbers in order from least to greatest, enter the least value in answer spot 1.
________
________
________

Answers

Answer:

13.28

13.301

13.31

Step-by-step explanation:

here’s the answer!
13.28
13.301
13.310

brainliest if it is right

Answers

The dog has about 20 ft of running area

Answer:

942.4777960769 square feet - sorry if I am wrong

Step-by-step explanation:

The area fo a circle is pi x Radius to the power of 2. 20 ft is the radius and 20x20= 400. 400 x Pi = 1,256.6370614359. The house takes up 1/4 of the whole area so 1,256... ÷ 4 = 314.159265359. This is the value of 1/4 of the area so times 314... times 3 to get 3/4ths of the area. 942.4777960769

Suppose P, Q, and R are points in the plane such that PQ=1.8, PR=8.2, and angle PQR=90 degrees. What is the area of triangle PQR$?

Answers

Answer:

7.2 sq units

Step-by-step explanation:

Seeing as this is a right triangle, and the hypotenuse and one leg is given, you can use the pythagorean formula to get the third side ([tex]\sqrt{8.2^2 - 1.8^2}[/tex]). Now that we have this leg, we can multiply this by 1.8, then divide it by two (area of triangle).

Pls help! Will give brainliest if I can!!!

Answers

The correct answer is true
It’s true, cause a chord does pass though the diameter of the circle.

Complete the stem-and-leaf plot for the list of test grades.73, 42, 67, 78, 99, 84, 91, 82, 86, 94

Answers

Stem/leaf
4/2
5/
6/7
7/3,8
8/2,4,6
9/1,4

The stem-and-leaf plot for the list of test grades is created below.

What is Stem and leaf plot?

A stem-and-leaf plot is a graphical representation of data that organizes values into a format that displays both the individual data points and their corresponding frequency. It is a way to represent a set of numerical data visually.

To create a stem-and-leaf plot, we separate each number into a stem and a leaf. The stem represents the tens digit, and the leaf represents the ones digit.

Here is the completed stem-and-leaf plot for the given test grades:

4 | 2

6 | 7

7 | 3, 8, 8

8 | 2, 4, 6, 6

9 | 1, 4, 9

In this plot, the stem represents the tens digit, and the leaves represent the ones digit.

For example, the grade 73 is represented as 7 as the stem and 3 as the leaf. The grade 82 is represented as 8 as the stem and 2 as the leaf.

Learn more about Stem and leaf plot here:

https://brainly.com/question/32053953

#SPJ2

brainliest if it is right

Answers

Answer:

y = 10x + 35 is the equation

Step-by-step explanation:

The slope is 10.  As the x changes by 1, the y changes by 10.  The y intercept is where the graph intercept the y axis.  That is at 35.

An animated movie earned $1.1x10^9 in revenues at the box office. The movie lasts 9.1x10^1 minutes. How much revenue was earned per minute of the movie? Write your answer in scientific notation and round to two decimal places

Answers

3 Decimals commenting for pointss

Need help with question #2
giving crown

Answers

Answer:

Here you are my good sir!

Step-by-step explanation:

In a translation transformation all the points in the object are removed in a straight line in the same direction. The size, the shape and the orientation of the image are the same as that of the original object. Same orientation means that the object and imageare facing the same direction. Example: We describe a translation in terms of the number of units moved to the right or left and thenumber of units moved up or down. Example: Move the object 2 units to the right and 4 units up.

10 POINTS) A recipe requires 4.5 teaspoons of sugar to make a cup of pudding. Which equation shows the number of teaspoons of sugar, y, needed to make x cups of pudding?

(A) x = 4.5y
(B) y = 4.5 + x
(C) y = 4.5x
(D) x = 4.5 + y

Answers

Answer:

A - x=4.5y

Step-by-step explanation:

in the word problem, it said y is the number of teaspoons of sugar... and u need 4.5 teaspoons of sugar. so how many teaspoons of sugar (y) do u need to make x cups of pudding? and its a good thing u only need to find the equation bc no extra work lol... so it would be x=4.5y

hope u understand it :))

and btw.... i love ur profile pic ahh >.<

Answer:

C. y = 4.5x

Step-by-step explanation:

Hope I helped!!

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