3x to the power of 3 + 21x squared + 36x = 0 by factoring the quadratic equation.

Answers

Answer 1

Answer:

x = 0, -4 and -3.

Step-by-step explanation:

The given expression is "3x to the power of 3 + 21x squared + 36x = 0".

We can write this expression as follows :

[tex]3x^3+21x^2+36x=0[/tex]

Taking 3x common.

[tex]3x(x^2+7x+12)=0\\\\3x=0\ \text{and}\ (x^2+7x+12)=0[/tex]

x = 3

[tex]x^2+7x+12=0\\\\x^2+3x+4x+12=0\\\\x(x+3)+4(x+3)=0\\\\(x+4)(x+3)=0\\\\x=-4,-3[/tex]

Hence, the solution of the given quadratic equation are x = 0, -4 and -3.


Related Questions

Joseph is weaving a ceremonial Native American sash. The sash will be 8 feet long when it is completed. Joseph wants to add a diamond shape every 0.4 feet along the sash. How many diamonds will the sash have when it is completed? A. 20 B. 19 C. 18 D. 17 pls give answer

Answers

Answer:

20 diamonds

Step-by-step explanation:

It is given that,

Length of the sash when it is completed = 8 feet

Joseph wants to add a diamond shape every 0.4 feet along the sash.

We need to find no of diamonds the sash have when it is completed. It can be calculated by dividing total length by 0.4 feet. As a result,

n = 8/0.4

n = 20

Hence, 20 diamonds the sash will have when it is completed

Which of these tables represents a non-linear function?
х
17
18
19
y
20
19
18
17
20
х
17
18
19
20
y
-16
-17
-18
-19
Х
17
18
19
20
у
16
17
19
20
у

Answers

Answer:

Its C.

Step-by-step explanation:

Non-linear functions address the problems of a linear activation function: They allow backpropagation because they have a derivative function which is related to the inputs. They allow “stacking” of multiple layers of neurons to create a deep neural network.

Please help!








A company dyes two sizes of rugs. A small rug requires 8 hours for dyeing and a medium-size rug requires 12 hours for dyeing. The dyers have to make at least 22 rugs, and they must do it in less than 240 hours. Let x equal small rugs and y equal medium rugs. Which of the following inequalities can be paired with x + y ≥ 22 to create a system that represents this situation? (5 points)

A. 8x + 12y > 240
B. 12x + 8y > 240
C. 8x + 12y < 240
D. 12x + 8y < 240

Answers

it’s c!! i’m glad i could help! have an amazing day love

Answer:

c

Step-by-step explanation:

Sophia saves $30 every month to her savings account. She withdrew $120 one time to go Christmas shopping. She now has $330 in her account. How many months has she been saving money?

Answers

Answer:

15 months

Step-by-step explanation:

330+120=450, and 450 divided by 30 equals 15. Therefore, Sophia has saved $30 to her savings account every month for 15 months.

Which quadrant is the following point in?
Point A (1,3)

Answers

This would be in quadrant 1 on a graph

Answer:

Its first quadrant bro.

Which decimal is equivalent to 40?​

Answers

0.4
hope this helped
The answer is 0.4. Happy Holidays! ❄️✨

Pls help. I need the explanations too.

Answers

Answer:

a- about 3$

b-about 8$

c-about .04

Step-by-step explanation:

a-100.8/35=2.88

2.88 is around 3

b-49.2/6=8.2

8.2 is close to 8

c-.78/20=.039

.039 is the nearest to .04

25 POINTS and brainliest
A function is shown. To the nearest whole number, what is the average rate of change of the function over the interval from x = 0 to x = 15? f(x) = 50,900(1.03)

Answers

Answer:

X=13

Step-by-step explanation:

Answer:

1893 or B

Step-by-step explanation:

To find the rate of change we divide the output value by the input values in this case

f(x) = 50,900(1.03)^0= 50900

f(x) = 50,900(1.03)^15= 79300

79300-50900=28400

So if we find the Rate of change by dividing the output value by the input value so we have 28400/15=1893 that is how you get your answer

What expression is equivalent to −1/2 (6x − 10)?

Answers

Answer:

-3x+5

Step-by-step explanation:

The answer is up ahead

A map of Utah has a scale of 1 cm: 30 mi. The border of Utah measures
about 3.7 cm. How long is the actual border of Utah and Wyoming? Show
your work to receive full credit

Answers

Answer:

The actual border of Utah and Wyoming is 111 miles long.

Step-by-step explanation:

We can use proportion to solve this!

[tex] \frac{1 \: cm}{30 \: mi} = \frac{3.7 \: cm}{x} \\ \\ \frac{111}{1} = \frac{1x}{1} \\ \\ 111 = x[/tex]

HELPPPP PLEASE ASAPPPP

Answers

Answer:

it the 3rd one

Step-by-step explanation:

because you are comparing the it

OFFERING A LOT OF POINTS (PLEASE DONT TAKE THIS QUESTION DOWN BRAINLY MODERATORS, i HAVE WORKED ON THIS QUESTION FOR THE PAST HOUR AND CANT GET IT RIGHT, NEED HELp),
im confused on this question of my virtual math homework, can anyone help? thanks in advance

Answers

Answer:

b) 75%

c) 150%

d) 90%

Step-by-step explanation:

If it takes 42 strokes to fill up 3/5 of a line of typing, how many more strokes will it take to complete the line?

Answers

Answer:

28 strokes

Step-by-step explanation:

The computation is shown below:

It is given that the 42 strokes are required to fill up the 3 by 5th

So for completing the line, the number of additional strokes required is

But before the total strokes required is

= 42 × 5 ÷ 3

= 70

This represent the total

so, the additional strokes is

= 70 - 42

= 28 strokes

on a survey seven students reported how many minutes it takes them to travel to school . here are their responses 5, 12 , 4 , 8 , 7 ,10 , 12 . find the mean travel time for these students if necessary round your answer to the nearest tenth ​

Answers

Answer:

8.28 my guy

Step-by-step explanation:

Easy, because the 'mean' is also called the 'average'.

To find the average of a list:

1). Add up all the items on the list.

then

2). Divide the sum by the number of items on the list.

For your list:

3) 5+12+4+8+7+10+12=58

4) There are 7 students so we divide, 58/7=8.28

BRAINILIEST IF RIGHT 4. Solve the following equation.

-2 = -2b

A. 4

B. 0

C. -4

D.1

Answers

ways and answer in paper

The floor of a new planetarium is a circle with a 13-yard diameter.A stage will occupy a quarter circle section of the floor.The material for the stage will cost $31.47 per square yard. If no material is wasted when making the stage,how could you find how much the stage will cost? Use 3.14

Answers

Answer:

$1,043.74

Step-by-step explanation:

Area of the circular floor = πr²

Since the stage only occupies a quarter circle section of the floor, then;

Area of the stage = πr²/4

Given

diameter of the floor = 13yd

radius = 13/2 = 6.5yd

Find the area of the stage;

Area of the stage = π(6.5)²/4

Area of the stage = 3.14(42.25)/4

Area of the stage = 33.16625yd²

If the material for the stage will cost $31.47 per square yard, this means;

1yd² = $31.47

33.16625yd² = x

Cross multiply

x = 33.16625*31.47

x = 1,043.74

Hence the stage will cost $1,043.74

A bicyclist is riding at a speed of 18 mi/h when she starts down a long hill. The distance d she travels in feet can be modeled by d(t) = 41^2 + 18t, where t is the time
in seconds. How long will it take her to reach the bottom of a 400-foot-long hill?

Answers

Answer:

8 seconds

Step-by-step explanation:

d(t)=400

4t^2+18t=400

4t^2+18t-400=0          subtract 400 from both sides

2t^2+9t-200=0           divide by 2 on both sides

x=8; -25/2                     solve using quadratic formula

What is the probability of not drawing a green marble?

75%
60%
2/3
4/5

Answers

Answer:

75 %

15 ÷ 20 = 0.75

0.75 × 100 = 75%

hope it helps!

Answer:

75% :)

Step-by-step explanation:

A square piece of paper is folded in half along a line of symetry. The resulting shape is then folded in half along line of symetry of the new shape. This process is repeted until n folds have been made, given a sequence of n+1 shapes.If we do not distinguish between congruent shapes, find the number of possible sequences when
(a) n=3
(b) n=6
(c) n=9

Answers

The answer to this question is C

HELP TY PLS AND TY!!!!

Answers

She made a mistake in the third step.

She was supposed to subtract 10 from -25, which would make it -35 instead of -15.

Answer:

I think its the third step like the other person said

Step-by-step explanation:

Order the numbers from least to greatest.
54%, 2/5, -0.45

SHOW YOUR WORK!

Answers

Answer:

-0.45, 2/5, 54%

Step-by-step explanation:

54%=54/100

=87/50

2/5=20/50

-0.45 must be the smallest as it is negative

penny reads 12 pages an 1/4 an hour. what is the unit rate for pages per hour. for hour per pages

Answers

Answer:

She is reading 48 pages and hour.  12x4=48

Step-by-step explanation:

Last year at a certain high school, there were 96 boys on the honor roll and 60 girls on the honor roll. This year, the number of boys on the honor roll increased by 25% and the number of girls on the honor roll increased by 10%. By what percentage did the total number of students on the honor roll increase? Round your answer to the nearest tenth (if necessary).

Answers

Answer:

19%

Step-by-step explanation:

Last year:

Number of boys on honor roll = 96

Number of girls on honor roll = 60

Total students on honor roll = Number of boys on honor roll + Number of girls on honor roll

= 96 + 60

= 156

This year:

The number of boys on the honor roll increased by 25%

Number of boys on honor roll = 25% of 96 + 96

= 0.25×96 + 96

= 24 + 96

= 120

The number of girls on the honor roll increased by 10%.

Number of girls on honor roll = 10% of 60 + 60

= 0.10 × 60 + 60

= 6 + 60

= 66

Total students on honor roll = Number of boys on honor roll + Number of girls on honor roll

= 120 + 66

= 186

Percentage the total number of students on the honor roll increase = (186 - 156) / 156 × 100

= 30 / 156 × 100

= 0.19 × 100

= 19% to the nearest tenth

Answer: 19.2%

Step-by-step explanation:

Find m∠1. Then classify the triangle by its angles.

The triangle can be classified by its angles as
A. Right
B. Obtuse
C. Equiangular
D. Acute

Answers

Answer: 1) 71 degrees 2) d- acute
Explanation: The area of every triangle is 180 degrees. So then you would add 78 to 31 and get 109. After you would subtract 109 from 180 and get 71.

The measure of angle 1 from the given triangle is 81°.

In the given triangle, the measure of two angles are 78° and 31°.

What is angle sum property of a triangle?

Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.

From the angle sum property of triangle,

78°+31°+m∠1=180°

⇒ 109°+m∠1=180°

⇒ m∠1=180°-109°

⇒ m∠1=81°

Therefore, the measure of angle 1 from the given triangle is 81°.

#SPJ2

Find the slope of the line through each pair of points (-5, -3), (19, 19)

Answers

Answer:

[tex]m = \frac{11}{12} [/tex]

Step-by-step explanation:

m= (y2-y1) / (x2-x1)

m = 19 - (-3) / 19 - (-5)

m = 22 / 24

m = 11/12

Need help on 1, 2, and 3. 50 points and brainliest

Answers

Answer:

1. 7/12

2. 6  2/5

3. 18/5

Step-by-step explanation:

Answer:

1st is 7/12

2nd is 6and 2/5

3rd is answer is not shown

Step-by-step explanation: Brainliest pls

hope this helped

Spammers will be reported!

Solution needed with a fair explanation

Answers

Answer: c. 0.40396

Step-by-step explanation:

The total number of flaws is given by:

[tex]{\left({0}\times{4}\right)}+{\left({1}\times{3}\right)}(0\times4)+(1\times3) +{\left({2}\times{5}\right)}+{\left({3}\times{2}\right)}+(2\times5)+(3\times2) +{\left({4}\times{4}\right)}+{\left({5}\times{1}\right)}+(4\times4)+(5\times1) +{\left({6}\times{1}\right)}+(6\times1)={46}=46[/tex]

Average number of flaws for the 20 sheets : [tex]\displaystyle\mu=\frac{46}{{20}}={2.3}[/tex]

Required probability : [tex]=P(X\geq3)=1-P(X<3)[/tex]

[tex]=1-[P(X=0)+P(X=1)+P(X=2)][/tex]

[tex]=1-(\dfrac{e^{-2.3}2.3^0}{0!}+\dfrac{e^{-2.3}2.3^1}{1!}+\dfrac{e^{-2.3}2.3^2}{2!})\ \ \ [\text{Poisson distribution formula: }P(X=x)=\dfrac{e^{-\mu}\mu^x}{x!}]\\\\=1-0.596038825932=0.403961174068\approx0.40396[/tex]

Hence, c. is the correct option.

What is a good reasoner this help plz.

SO I copied an answer for my school and I accidentally copied "hope this helped" and she is wondering why I put that... PLZ HELP :/

Answers

Answer: I pushed the wrong button on my computer I apologize.

Step-by-step explanation: That's the best I got.

Answer:

say that you meant to say "hope this is correct" but accidentally put that

Step-by-step explanation:

Leila received a $80 gift card for a coffee store. She used it in buying some coffee that cost $7.58 per pound. After buying the coffee, she had $34.52 left on her card. How many pounds of coffee did she buy?

Answers

Answer:

4.55 or about 5 pounds

Step-by-step explanation:

I did 34.52 / 7.58 = 4.55 or rounded up, to about 5 pounds :D

i need help with this practice problem

Answers

Answer:

Step-by-step explanation:

V of a sphere is (4/3)*pi*r³, and because we have 3 scoops

V = 3* (4/3) * 3.14 * 4³ = 4* 3.14 * 4³ = 803.84 cm³

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