How to factor 3x³+3x²-36

Answers

Answer 1

Answer:

[tex]3(x - 2) (x^2 + 3x + 6)\\[/tex]

Step-by-step explanation:

Firstly, divide all parts of the equation by 3:

[tex]3x^3 + 3x^2-36[/tex]

[tex]3(x^3 + x^2-12)[/tex]

Now focus on the equation:

[tex]x^3 + x^2-12[/tex]

We know that the equation can be factored using x so we know that (x +- unknown) is the factor. We need to find the easiest way to factor this, lets find the factors of 12:

1 12

2 6

3 4

1 and 12 won't work so let's try 2 and 6, initially start as a negative 2:

[tex]\frac{ x^3 + x^2 - 12}{x - 2}[/tex] = [tex]x^2 + 3x + 6[/tex]

We can confirm this is simplified by multiplying together:

[tex](x - 2) (x^2 + 3x + 6)[/tex]

[tex]x* x^2 = x^3\\x * 3x = 3x^2\\x * 6 = 6x\\-2 * x^2 = -2x^2\\-2 * 3x = 6x\\-2 * 6 = -12[/tex]

= [tex]x^3 + x^2 - 12[/tex]

Meaning it is simplified.

Now, put the equations together:

[tex]3(x - 2) (x^2 + 3x + 6)\\[/tex]

Hope this helps!


Related Questions

A group of friends want to go to the amusement park. They have $137.75 to spend on parking and admission. Parking is $15.25, and tickets cost $24.50 per person including tax. Write and solve an equation which can be used to determine x, the number of people who can go to the amusement park.

Answers

Answer:

(137.75 - 15.25)/24.5=x

122.5/24/5=x

5=x

x= number of friends who can go to the amusement park

Step-by-step explanation:

137.75 is the total amount of money.

First, we need to subtract 15.25 because this money is going to be spent on parking.

Once we have our total after subtracting 15.25, all we need to do is divide that number by 24.5 to see the number of people who can go to the amusement park.

Hope this helped!

By solving a linear equation we will see that 5 people can go to the amusement park.

How to write the linear equation?

We know that the friends have $137.75, and the parking costs $15.25, so after paying the parking they have:

$137.75 - $15.25 = $122.50

Now we know that each ticket costs $24.50, so if the friends pay for x tickets they will have y money left, given by the linear equation:

y = $122.50 - $24.50*x

To see the number of people that can go to the amusement park we need to solve the above equation for y = $0 (the case where they use all the money).

$0 = $122.50 - $24.50*x

$24.50*x = $122.50

x = $122.50/$24.50 = 5

So with that amount of money, 5 people can go to the amusement park.

If you want to learn more about linear equations, you can read:

https://brainly.com/question/1884491

w x and y are three integers w is 2 less than x y is 2 more than x prove that wy+ 4 =x^2

Answers

w + 2 = x

x + 2 = y

Cross multiply

y(w+2) = x(x+2)

wy + 2y = x^2 + 2x

make x the subject of the equation

x = y - 2

substitute this in place of (x) in 2x

wy + 2y = x^2 + 2(y-2)

wy + 2y = x^2 + 2y - 4

wy  + 2y - 2y + 4 = x^2

wy + 4 = x^2

3. Kayla bought 3 pounds of peachee for
$1.49 per pound. How much did she pay for
the peaches?

Answers

Answer:

$4.47

Step-by-step explanation:

If one pound is $1.49 then you would multiply it by 3 ro get how much 3 pounds would be.

$1.49 x 3 = $4.47

Hope this was helpful =D

If it was, maybe I could be brainiest?

No pressure! :)

Evaluate the expression 6^2-(8–4^2+7

Answers

6² - (8-4)²+7 = ?= 6² - (4)²+7= 36 - 16+7= 20+7= 27

please mark this answer as brainlist

The value of given expression is 27.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The given expression is 6²-(8-4)²+7.

Here, 6²-(8-4)²+7

= 6²-(4)²+7

= 36-16+7

= 20+7

= 27

Therefore, the value of given expression is 27.

To learn more about an expression visit;

https://brainly.com/question/28170201.

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solve pls brainliesttt

Answers

Answer:

-343

-125

Here you go

Answer:

1. -343

2. 25

3. v+21=47   v= 26

Step-by-step explanation: Hope this helps!

Evaluate v(x) = 12 - 2x - 5 when x = -2, 0, and 5

Answers

Answer:

65

Step-by-step explanation:

Correct answer will get brainiest

Answers

Answer:

( i ) ∠AOB = 72

( ii ) ∠BOC = 67

( iii ) ∠COD = 134

( iv ) ∠AOD = 87

Step-by-step explanation:

Sum of angles in a circle is 360,

a + b + c + x = 360

72 + 67 + 134 + x = 360

273 + x = 360

x = 360 - 273

x = 87

∠AOB = a = 72

∠BOC = b = 67

∠COD = c = 134

∠AOD = x = 87

Step-by-step explanation:

From the diagram,

AOB = a= 72

BOC = b = 67

COD= c = 134

&

AOD+AOB + BOC+ COD= 360 [Angle ofcomplete turn]

or,AOD + 72+67+134= 360

or,AOD +273=360

or AOD= 360-273=87degree

(7x+19){}(x+1){}(x+5)

Answers

We move all terms to the left:

7x-19-(x+5)=0

We get rid of parentheses

7x-x-5-19=0

We add all the numbers together, and all the variables

6x-24=0

We move all terms containing x to the left, all other terms to the right

6x=24

x=24/6

x=4

What is the smallest number that rounds to 45 000 when round off to the nearest thousand​

Answers

The least number which can be rounded off to 45,000 is 44,500. While the largest is 45,499.

- BRAINLIEST answerer

Answer:

44 500

Step-by-step explanation:

When 44 499 is round off to nearest 1000,answer is 44 000.Therefore this is the smallest no. the rounds to 45 000

There are twice as many gray kittens than white
kittens. There are 4 white kittens. How many gray
kittens are there?

Answers

Answer:

8 gray kittens

Step-by-step explanation:

There are double the amount of grey kittens compared to white kittens so, you would do 4 × 2 which is 8. There are 8 grey kittens.

Hope this helps!

welp. this is 9marks question​

Answers

Answer:

4

Step-by-step

standard form
y = -8x + 7

Answers

Y=-(8+7) standard form
Y=-1 answer

IF YOU ARE REALLY GOOD A MATH THEN PLEASE ANSWER THIS !!!
Your help will be much appreciated because i am losing my sanity doing this math

Answers

Hey there!

Let's take the number of cows in the field as 'c'.

Then, the number of horses in the field is = c + 2 [2 more horses than cows]

Total number of animals on the field = 16.

So, equation becomes...

c + c + 2 = 16

2c + 2 = 16

Hope it helps ya!

- According to CTIA.org, there were 327.6 million cell phones in the U.S. in 2014. The U.S. population was approximately 317.9 million at that time. How many cell phones per capita were there in the U.S. in 2014? (Round to the nearest hundredth) ​

Answers

Answer:

1.03

Step-by-step explanation:

Per capita just means per unit of population, or per person. This question is asking how many cell phones there were in the United States per person in 2014. We can use simple division to determine that the answer is 327.6/317.9 or about 1.03 when rounded to the nearest hundredth.

Answer:

1.03

Step-by-step explanation:

2 Find an equation in the form y = ax? + bx + c for the parabola passing through the points. (3. – 56). (-1, - 16). (-2,- 51)
help me please!!!​

Answers

Answer:

Step-by-step explanation:

Many ways to do this in the details.

All start by writing three equations with three unknowns

-56 = a(3²) + b(3) + c

-56 = 9a + 3b + c          1)

-16 = a(-1²) + b(-1) + c

-16 = a - b + c               2)

-51  = a(-2²) + b(-2) + c  

-51  = 4a - 2b + c           3)

subtract equation 2 from equation 1

-40 = 8a + 4b

--10 = 2a + b

b = -10 - 2a                 4)

subtract equation 3 from equation 1

-5 = 5a + 5b

-1 = a + b                   5)

substitute 4 into 5

-1 = a + (-10 - 2a)

-1 = - a - 10

a = - 9

substitute a into 4

b = -10 - 2(-9)

b = 8

substitute a and b into any of 1, 2, or 3

-51  = 4(-9) - 2(8) + c

-51  = -36 - 16 + c

c = 1

y = -9x² + 8x + 1

We can use a plotting calculator to confirm our result.

use the numbers -4,-1,3/2 or 2/3 to write an expression brainly

Answers

Answer:

4x1 divide 2 minus 3 plus 2

Step-by-step explanation:

I think

Find f(0) and f(6)

f(x)= x^2+10x+72/x^2-12x+36

Answers

Answer:

f(0) = 2     f(5) = 147

Step-by-step explanation:

f(0) = (0²+10·0+72)/(0²-12·0 + 36)   Substitute 0 for x and solve.

      = 72/36

       = 2

f(5) = (5²+10·5+72)/(5²-12·5 + 36)      Substitute 5 for x and solve.

     = (25 + 50 + 72)/(25 - 60 +36)

     = 147/1

      = 147

Identify the common difference of the sequence: -8, -1, 6, 13,...

Please do not post suggestions to go to random sites for the answers. I'm on a timed test. Don't waste my time.

A. -6
B. -7
C. 7
D. 6​

Answers

Answer:

c positive seven because to find the common difference we have subtract -1from-8 that's I (T2-T2)

What is 6 x (6.3 + c)?
plss my auntie acting slow help

Answers

Answer:

37.8+6c

Step-by-step explanation:

6(6.3+c)

multiply 6 to both

37.8+6c

Pls help due in 10 minutes

Answers

Answer:

here is your answer hope it helps you

Given that Cos(A) = .6 and csc(A) is -1.25, what is tan (a)

Answers

Answer:  -4/3

============================================================

Explanation:

cos(A) = 0.6 = 6/10 = 3/5

Recall that csc is the reciprocal of sine.

If csc(A) = -1.25, then sin(A) = 1/csc(A) = 1/(-1.25) = -0.8 = -8/10 = -4/5

Then we would have

tan(A) = sin(A)/cos(A)

tan(A) = sin(A) ÷ cos(A)

tan(A) = (-4/5) ÷ (3/5)

tan(A) = (-4/5) * (5/3)

tan(A) = -4/3

Answer:

-4/3

Step-by-step explanation:

Check the solution

A rectangle is increased by 25% and the width is decreased by 20%, what is the change in the area of the rectangle? The change in the area of the rectangle is square feet. Reset Next​

Answers

Answer:

0

Step-by-step explanation:

Please refer to the previously asked question:

https://brainly.com/question/24265969?referrer=searchResults

Nancy sold tickets to a school play. She sold $426 worth of tickets. She sold 8 more adult tickets than children tickets and 3 times as many senior tickets than children tickets. If children tickets are $3, senior tickets are $4 and adult tickets are $6, how many adult tickets did Nancy sell

Answers

Answer:

So number of Adult tickets sold = A = 26.

Step-by-step explanation:

Define A, C, S as

A = number of adult tickets,

C = number of children tickets,

S = number of Senior tickets.

Then, by the statement of the problem, we have that

A = 8 + C,

S = 3C,

3C + 4S + 6A = 426,

so that

3C + 4(3C) + 6(8 + C) = 426

3C + 12C + 48 + 6C = 426

21C + 48 = 426

7C + 16 = 142

7C = 126

C = 126/7 = 18

A = 8 + 18 = 26

S = 3(18) = 54

Find the angles marked x,y and z.
ASAP

Answers

Answer:

x= 45°

y= 95°

z= 85°

hope this helps <3

Answer:

Step-by-step explanation:

x= 50

y+25=180(because it is on a straight line)

y+25=180

y+25=180

y+25-25= 180-25

y+0= 155

y= 155

z+ y=180

z+ 155= 180

z+ 155- 155 =180-155

z+ 0 =  25

z = 25

x = 50

y = 155

z = 25

ik how to do the calculation but 36 doesn't come in 5's table (the table I'm using to cancel) so i don't know how to cancel 150 by 360 thus i can't find the angles for it​

Answers

Answer:Take as an example

Step-by-step explanation:

7,203 x 6,892. If I want to know that exactly, then I reach for Mathematica (or if I absolutely have to, I reach for pencil and paper to apply multiplication in columns). But often I just need a rough answer, so I mentally convert this to 7,000 x 7,000 = 7 x 7 x 1,000 x 1,000 = 49,000,000. More formally I am converting the numbers the nearest approximation of the form k x 10n where k ∈ {the set of numbers for which I know times tables}. Then I use the times tables on the remaining significant digits and implicitly use the 10 times table to get the magnitude right. In this case the real answer is:

A 98% confidence interval for a proportion is found to be (0.62, 0.68).

What is
the sample proportion?

O A. 0.66

OB. 0.64

O C. 0.65

O D. 0.68

Answers

Answer:

I think the answer is C ,The sample proportion is the fraction of samples which were successes, so. (1) For large , has an approximately normal distribution.

Step-by-step explanation:

If the queston true please votes 5 stars and mark as brainliest for me.Thank you so much

Given that a 98% confidence interval for a proportion is found to be (0.62, 0.68). The sample proportion will be 0.65.

What is confidence interval for population proportion?

Formula to calculate the confidence interval for population proportion p :-

[tex]p' - Z_{\alpha }\sqrt{\frac{p'q'}{n} } < p < p' + Z_{\alpha }\sqrt{\frac{p'q'}{n} }[/tex]

Where,

p is the population proportion.

p' is the sample proportion.

n is the size of the sample.

[tex]Z_{\alpha }[/tex] is the desired degree of confidence.

Given that a 98% confidence interval for a proportion p is found to be (0.62, 0.68).

[tex]p' - Z_{\alpha }\sqrt{\frac{p'q'}{n} } = 0.62\\\\p' + Z_{\alpha }\sqrt{\frac{p'q'}{n} } = 0.68[/tex]

Adding the two equations,

2p' = 1.3

p' = 0.65

Learn more about confidence interval for population proportion here

https://brainly.com/question/13686615

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Find the equation of the line that passes through (1,3) and is perpendicular to
y=2x+3
Leave your answer in the form y=mx+c

Answers

Answer:

y=-1/2x+7/2

Step-by-step explanation:

Gradient is negative reciprocal so -1/2x

3=-1/2x + 7/2

y=-1/2x+7/2

Answer:

perpendicular lines have the same gradient

y=2x+3

The gradient of the two lines is 2

Gradient=change in y/change in x

=y2-y1/x2-x1

Let (x,y) also lie on the line

2= y-3/x-1

2(x-1) =y-3

2x-2=y-3

2x-y=-3+2

2x-y= -1

2x+1 =y

y=2x+1

Step-by-step explanation:

HOPE THAT THIS IS HELPFUL.

HAVE A GREAT DAY

The pot-belly seahorse is one of the largest seahorse species and is known for having a large belly. As a part of its diets, a pot-belly seahorse eats about 63 shrimp per week. It eats the same amount each day.How much shrimp does the pot-bellied seahorse eat per day?

Answers

Answer:

9 shrimp per day.

Step-by-step explanation:

63/7=9

9*7=63

come nueve al día

Dividimos 63/7=9

Find the value of x
(Please please please help me I will give you brainliest!)

Answers

Answer:

55

Step-by-step explanation:

rectangular triangle 180-(35+90)=55

There exist integers min such that m minus n is less tha or equal to m plus n.​

Answers

Answer:

I have asked question in my profile please tell me that answer please

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