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

Ty can jump rope at a rate of 6 jumps every 3 seconds what is Ty's jump roping rate in jumps per minute​

Answers

Answer: Ty can jump rope at 6:3 thats the ratio.

Step-by-step explanation:

You can burn an average of 200 to 300 calories in a mere 15 minutes workout with your jump rope. Everyone is different, but on average 10 – 25 Calories are Burned Jumping Rope every minute. Jumping rope can help you burn about 25% more calories per minute than running.

Need help ASAP I’m trying to understand

Answers

Step-by-step explanation:

5a+4a=180

a=20

5a=X

X=5×20

=100°

Answer:

100 degrees

Step-by-step explanation:

The opposite angle will always be the same. since the opposite is 5a, then x = 5a.  x is 5a, and 9a is 180 degrees so x=180(5/9), which is equal to 100 degrees.

PLEASE HELP I WILL GIVE BRAINLIEST!!

Answers

Answer:

The answer to the chart is y=x-1

Write an equation to make the number "24" using all the numbers 5,4,2,2 and +, -, x and ÷.

Answers

Answer: See explanation

Step-by-step explanation:

We are given the numbers 5,4,2, and 2 and told to make an equation from it and get a final answer as 24. This will be:

= 5 × 4 + 2 + 2

= 20 + 2 + 2

= 24.

Since we have gotten a final answer of 24, the equation is solved.

1760 upper primary pupils took part in a sports meet in 2014. This was decreased of 20% when compared to 2015. The number of the upper primary pupils who took part in 2016 increased by 5% when compared to 2015. How many upper primary pupils took part in the sports meet in 2016?

Answers

Answer:

Number of upper primary pupils who took part in the sports meet in 2016 is 1478.

Step-by-step explanation:

Total number of upper primary pupils who took part in the sports meet in 2014 is 1760. It was decreased of 20% compared to 2015.

So that,

20% of 1760 = [tex]\frac{20}{100}[/tex] x 1760

                    = 0.2 x 1760

                    = 352

Number of upper primary pupils who took part in the sports meet in 2015 = 1760 - 352

                   = 1408

Also,

5% of 1408 = [tex]\frac{5}{100}[/tex] x 1408

                  = 0.05 x 1408

                  = 70.4

Number of upper primary pupils who took part in the sports meet in 2016 = 1408 + 70.4

                           = 1478.4

With an increase of 5% compared to 2015, the number of upper primary pupils who took part in the sports meet in 2016 is 1478.

y = m + mnp
Solve for n.
pls help me

Answers

Answer:

n = y - m/mp

Step-by-step explanation:

y = m + mnp

y - m = mnp

y - m/mp = mnp/mp

y - m/mp = n

r/2+y=11
pleaseeee help!! i need the answer like rn

Answers

Answer:

r=99

Step-by-step explanation:

Cheddar cheese costs $4.25 per pound. Which equation best represents y, the total cost of x pounds of cheddar
cheese?
A. x = 4.25 + y
B. x = 4.25y
C. y = 4.25+ x
D. y = 4.25x

I will MARK brainlist!

Answers

Answer:

D

Step-by-step explanation:

4.25 × the amount of cheese you buy (x) equals the total cost (y)

Answer:

D. y = 4.25x

Step-by-step explanation:

You multiple the price per pound by the number of pounds. Can I have brainliest? Thanks!

Avery is making a necklace for her mothers birthday. She uses 1 1/20 strings of black beads and 1 4/5 more strings of gray beads than black beads. How many strings of gray beads did she use?

.

Answers

Answer:

She used 2 17/20 strings of grey beads

Step-by-step explanation:

Here, we want to know the number of grey beads used

To calculate this, we simply add up the black beads number with the number of grey beads

Mathematically, that will be;

1 1/20 + 1 4/5

= 21/20 + 9/5

= (21 + 36)/20

= 57/20 = 2 17/20

Determine if lines JK and LM are parallel, perpendicular or neither. J(-10, -7) K(-4, 1) L(-3, 2) M(-6, -2)

Answers

Answer:

i think it is neither

Step-by-step explanation:

I need help pls !!!!

Answers

Answer:

The answer is 49 pi cm2

Step-by-step explanation:

pi x 14^2

----------------

      4

=153.93804

Answer:

The area of your circle is ≈ 15.6cm²

Step-by-step explanation:

A = Area

C = Circumference

Attached

Using the following formulas;

A=πr²

C=2πr

in the equation of a line y= mx + b the slope represented by the letter

Answers

Answer: m

Step-by-step explanation:

in y=mx+b, m is the slope and b is the y intercept.

Answer:

M

Step-by-step explanation:

The slope in y=mx+b is the letter M.

Find the slope

please help

Answers

Answer:

5/2

Step-by-step explanation:

Rising, there are 5 squares. Running, there are 2 squares. The line is rising left to right, so the slope is positive.

PLS ANSWER ASAP!! WILL MARK BRAINLIEST! 35 POINTS!

Answers

Answer:

Step-by-step explanation:

c) corresponding angles postulate

Can someone write the process and solution please?

Answers

Answer:

A

Step-by-step explanation:

We can get this by simplifying the inequalities

3(x-4) ≤ 18

3x - 12 ≤ 18

3x ≤ 18 + 12

3x ≤ 30

x ≤ 30/3

x ≤ 10

Secondly;

2(x-1) ≥ 6

2x - 2 ≥ 6

2x ≥ 6 + 2

2x ≥ 8

x ≥ 4

So the possible answer that fits both cases is 9

12 won’t work as it is not less than 10; we need an answer that is less than 10 to satisfy the first inequality

|-4 + 3| · 8.
iiiiiiiiiiiii nnnnnnnnnnneeeeeeeeeeeeeddddddddddd hhhhhhhheeeeeeelllllllllllllpppppppp nnnnnnnnnooooooowwwwwwwww!!!!!!!!!!!!!11

Answers

Answer:

8

Step-by-step explanation:

-4+3=-1

|-4+3|=1

|-4+3|•8=8

(|) the vertical line represent absolute value if it is a negative number inside the vertical lines it gives a positive number

Examples:

|-1|=1

|-4|=4

Hope you understand

Answer:

bruh are you seriously in 5th grade?

Step-by-step explanation:

Ez it's -1·8

Help will mark brainliest

Answers

Answer:

C. E = 9h

Step-by-step explanation:

Please mark brainliest.

please help.............

Answers

9515 1404 393

Answer:

  (d)  Reflexive Property of ≅; SSS

Step-by-step explanation:

There are no angles involved in the proof, so the SAS claims do not apply.

__

The symmetric property says ...

  if A ≅ B, then B ≅ A

The reflexive property says ...

  A ≅ A

In this case, the reflexive property is the one being invoked in the statement ...

  AC ≅ AC

That, together with the claims of line 3 concludes the claim that all three sides are congruent to their corresponding counterparts. Hence the SSS postulate applies.

I NEED HELP WITH THIS​

Answers

Answer:

Step-by-step explanation:

How are coordinate planes the same ????
22 points if u can answer

Answers

Answer: Its a trick question

Step-by-step explanation:

I did this yesterday

Answer:

They are the same because they all have an X-axis and a Y-axis

Step-by-step explanation:

sorry if im wrong lol

Bianca set the thermostat in her house to 87°F, which was 13° warmer than the temperature outside. What temperature was it outside?

Confused.

Answers

Answer: 74 degrees Fahrenheit  

Step-by-step explanation: the temperature outside was 13 degrees lower than 87 degrees, so  87 - 13 = 74

Answer:

74 degrees F

Step-by-step explanation:

Subtract the 87 - 13

This is because there are +13 degrees more than outside. So if you add 74 + 13 that were added by the thermostat, you get 87 degrees. Does it make sense?

Just subtract :)

The sales tax rate in New Mexico is 5.125%. What will you pay for a $14.50 area rug in New Mexico after tax?

Answers

Answer:

15.243125

Step-by-step explanation:

we need to calculate how much would be the tax for 14.5$

so 14.5 * 5.125% = 0.743125

and then we will add that to 14.50

i dont feel like doing this i have to

I need help I don’t understand

Answers

Answer:

Step-by-step explanation:

let the other point be (x,y)

then

[tex]2=\frac{0+x}{2} \\x=4\\2=\frac{-2+y}{2} \\y-2=4\\y=4+2=6\\so ~other ~end ~is ~ (4,6)[/tex]

Choose the number that is 5 more than a square number.
21
34
35
65
76

Answers

5 more than a square number would be 21 which is 5 more than 16 (the square of 4)

Answer:

21

Step-by-step explanation:

this requires practical assumption.

take 9 for example

5 more than 9 means 9 - 5 = 4

4 is a square number

21 = 21 - 5 = 16

16 is a square number

34 = 34 - 5 = 29

29 is not a square number

35 = 35 - 5 = 30

30 is not a square number

65 = 65 - 5 = 60

60 is not a square number

76 = 76 - 5 = 71

71 is not a square number

help I suck at math lol

Answers

For 14/8, you first have to simply it by dividing both numbers by 2


So that it becomes 7/4, which is 1 3/4






For 48/9, divide both numbers by 3


So that it becomes 16/3 which is 5 1/3

Answer:

14/8 = 1 3/4

48/9 = 5 1/3

Step-by-step explanation:

14/8 = 1 6/8

6/8 = 3/4

14/8 = 1 3/4

48/9 = 5 3/9

3/9 = 1/3

48/9 = 5 1/3

Four-thirds times the sum of a number and 8 is 24. What is the number?
ОА.
40
OB. 26
O C. 24
OD
10

Answers

Answer:

D, 10.

Step-by-step explanation:

10+8=18 4/3x18=24

The answer is 10

Explain: Let’s use “x” to present the number, we have:
4/3(x+8) = 24
x+8 = 24/(4/3)
x+8= 18
x = 10

25 is 10% of what number?

Answers

Answer: 40

Step-by-step explanation:

This is saying one-fourth, or 25% , of a number x , is equal to 10 . Therefore, 25% of 40 is 10

Answer:

250

Step-by-step explanation:

10%x10=100%

25x10=250

probably not the best explanation but I hope it helps!

Mary used one big bag of flour. She baked four loaves of bread.​ Then, she used the remaining flour to make 48 muffins. How much flour was in the bag when Mary​ began? Plz help!!!! I have 20 minutes left

Answers

Answer is 11.

Step-by-step explanation:

Maria used two loaves of bread , One loaf is equal=2 1/4 cups so two becomes 2 ×2 1/4= 9/2

Maria makes the remaing 48 muffins of the flour left so,

One muffin is equal 3 1/4 cups so two becomes 2×3 1/4=13/2

Add both of them

9/2+13/2=11

MULTIPLY.....WILL MARK BRAINLIEST
x^2(-10x^2+1)​

Answers

Answer:

Step-by-step explanation:

Distributive property:  a(b + c) = a*b +a*c

[tex]a^{m}*a^{n}=a^{m+n}\\\\\\x^{2}(-10x^{2}+1)= x^{2}*(-10x^{2}) +x^{2}*1\\\\=-10x^{(2+2)}+ x^{2}\\\\= -10x^{4} + x^{2}[/tex]

What is 80% of 80?!? Pls help ASAP

Answers

Answer:

64

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

80% * 80 = 64

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