Use the grouping method to factor the polynomial below.

x^3+4x^2-3x-12

Answers

Answer 1
x³+4x²-3x-12
= x²(x+4)-3(x+4)
= (x+4)(x²-3)

Related Questions

What is the sum of -19 and — 76?

Answers

Answer:

-95

Step-by-step explanation:

The solution is -95

The value of the equation A = -16 + ( -76 ) is A = -95

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = the sum of -19 and -76

On simplifying the expression , we get

A = ( -19 ) + ( -76 )

On simplifying the equation , we get

A = -19 - 76

The value of A = -95

Therefore , the value of A is -95

Hence , the solution of sum of -19 and -76 is -95

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Factor the expression: 3x + 6*
Please help

Answers

Answer:

3(x+2)

Step-by-step explanation:

Answer:

3 (x + 2)

Step-by-step explanation:

3

+

6

3

(

+

2

)

What is the circumference of the circle with a diameter of 10 inches using ≈ . ?

Answers

Answer: 31.4

Step-by-step explanation:

C=πd

C=π×10

C=10π

C=31.4

If 850 students go to the school, about how many students prefer burgers?​

Answers

Answer:

340 students prefer burgers.

Step-by-step explanation:

144 is 40% of 360.

Multiply 850 by 40% to find how many students prefer burgers.

850 x 0.4 = 340

Select all that apply.

Which graphed lines represent direct variation functions?


line d
line b
line c
line a

Answers

Answer:

Hope this helps~

Step-by-step explanation:

Look at the graph they gave you. ... At first it looks like an ugly mess.

But look closer.  There are only two lines there that go through the origin,

so one of those is the answer to the question.

Now let's talk about the slope of a line.

 

-- If the slope of a line is positive, that means it rises as it goes.

  If you walk the graph from left to right, you're climbing.

-- If the slope of a line is negative, that means it falls as it goes.

  If you walk the graph from left to right, you're going down-hill.

The equation they gave you is  [ y = 1/2 x ].

The slope is  1/2 .  That's positive.

The line on the graph slopes up.  To walk it, you have to climb.

In the picture, that can only be line 'c' .

Answer:

The equation they gave you is  [ y = 1/2 x ].

The slope is  1/2.  That's positive.

The line on the graph slopes up.  To walk it, you have to climb.

Select the correct answer.
What are the solutions to this equation?
3
25 - 5
O A
= -1 and r = -0.4
OB.
=
-2 and r = 2
C.
r = -3 and r =
0.5
OD
r = -0.5 and r = 3

Answers

Answer:

D

Step-by-step explanation:

Either try all the numbers and see which ones work or do the following.

Times both sides by 2x-5.

3=x(2x-5)=2x^2-5x

Rearrange and solve the quadratic. I will factorise.

2x^2-5x-3=0

(2x+1)(x-3)=0

so x = -1/2 or 3

A skateboard park charges a $5 admission fee plus $2 for every hour spent at the park with a three-hour maximum stay. What are the input values of this problem situation?

Answers

Answer:

11 dollars

Step-by-step explanation:

If you do 1 person going into the park it starts with 5 dollars then you add 2$ to ever hour with a 3 hour limit so at the limit the amount paid would be 11 dollars if there was one person there for 3 hours

did I follow the instructions on how it told me to answer this question

Answers

Answer:

did I follow the instructions on how it told me to answer this question

Step-by-step explanation:

No? wouldn't it be $10.50???

A speck of dust 8.2 x 10^ -7 m wide. Which of the following is the best way to rewrite this quantity, using more appropriate units A. 8.2 x 10^ -10 km B.8.2 x 10^ -7 m C. 8.2 x 10^ -5 cm D. 8.2 x 10^ -4 mm

Answers

Answer:

Step-by-step explanation:

It's d credit to the person who said it

The best way to rewrite the quantity 8.2 x 10^ -7 m, using more appropriate units is D.) 8.2 x 10⁻⁴ kilometer

What is conversion?

The process of changing the value of one form to another is called conversion. It doesn't affects the value, it simply converts one form to another.

Now it is given that,

Width of a speck of dust = 8.2 x 10⁻⁷ m

Since, 1 kilometer = 1000 meters = 10³ meters

Therefore, 8.2 x 10⁻⁷ m = 8.2 x 10⁻⁷ x 10³ kilometer

⇒ 8.2 x 10⁻⁷ m = 8.2 x 10⁻⁷⁺³ kilometer

⇒ 8.2 x 10⁻⁷ m = 8.2 x 10⁻⁴ kilometer

Thus, the best way to rewrite the quantity 8.2 x 10^ -7 m, using more appropriate units is D.) 8.2 x 10⁻⁴ kilometer

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what is 52cm as a fraction of 90cm? (as a simplified fraction)

and what is 30L as a fraction of 110L? (as a simplified fraction)
!plis help me quick bc i got 20 minutes left to hand it in to my teacher!

Answers

Answer:

[tex]\frac{26}{45}[/tex] and [tex]\frac{3}{11}[/tex]

Step-by-step explanation:

(a)

Expressing as a fraction

[tex]\frac{52}{90}[/tex] ( divide numerator/ denominator by 2 )

= [tex]\frac{26}{45}[/tex] ← in simplest form

(b)

Expressing as a fraction

[tex]\frac{30}{110}[/tex] ( divide numerator/ denominator by 10 )

= [tex]\frac{3}{11}[/tex] ← in simplest form

Harley-Davidson motorcycles make up 14% of all motorcycles registered in the US. You plan to interview an SRS of 500 motorcycles owners. How likely is your sample to contain 20% or less who own Harleys

Answers

0.00005 probability or 0.005%

can someone help me solve i will give 20 points

Answers

Answer:

l = 15 ft

w = 6 ft

A = 90 sq ft

Step-by-step explanation:

since the width is 2" then it is 6' per given info

the length can be found by using this proportion:  2"/6' = 5"/l

2l = 30

l = 15'

A = 15 x 6 = 90 sq ft

Length of terrace: 5 inches [ Given in figure ]

Width of terrace: 2 inches [ Given in figure ]

Area of terrace : 10 in.² [ by calculation ]

Solution:

Area of rectangle ( terrace ) = Length × width

= ( 5 × 2 ) in.²

= 10 in.²

I also need help on this one

Answers

Answer:

A

Step-by-step explanation:

27-9=18

18=18

5(27)=135

135=135

Find the equation of the line with x-intercept (-4,0) and y-intercept (0,9).

Answers

Answer: The answer is Y=(9/4)x+9  

Step-by-step explanation: There is various ways to do it. Just find the formula first and then apply the steps to solve. Hope it helps.

Does anyone know what would be the equation for this Emily has $250 in her savings account. She plans to save $15 per week from her salary. Jasmine has only $200 in her account but can save $20 a week from her paycheck. How many weeks will it take before the amount in each savings account is the same?
Just the equation

Answers

Answer: 10 weeks
Step-by-step explanation:
Nilda's money = 250 +15x being x the number of weeks that have passed
Lona's money= 200+20x
If they have the same amount, then
250+15x=200+20x
250-200=(20-15)x
50=5x
50/5=x
10=x
10 weeks long that the answer hope this helps

Brianna wants to buy a digital camera for a photography class. One store offers the camera for $49 down
and a payment plan of $20 per month. The payment plan for a second store is described by y - 15x + 79,
where y is the total cost in dollars and x is the number of months. Which camera is cheaper when the
camera is paid off in 12 months? Complete the explanation.

Answers

Answer:

Step-by-step explanation:

Cost of the camera at one store,

Down payment = $49

Per month payment = $20

Duration of the payment = 12 months

Total payment to be done = down payment + payments to be done in 12 months

= 49 + (20×12)

= 49 + 240

= $289

Cost of the camera at second store,

Equation describing the payment plan,

y = 15x + 79

Here, x = number of months

y = Total amount to be paid

If x = 12 months

y = (15×12) + 79

y = 180 + 79

y = $259

The camera at the second store is cheaper when the camera is paid off in 12 months because the cost at the first store is $289 and the cost at the second store is $259.

The first step in attempting to factor the expression x2−7x+10 is to write out all of the factor pairs. Which of the following is the complete list of factor pairs for the constant term in this expression?

1 and 10, 2 and 5, −1 and −10, −2 and −5

1 and 9, 2 and 8, 3 and 7, 4 and 6, 5 and 5

−1 and 7, 1 and −7

1 and 10, 2 and 5

Answers

Answer:

1 and 10, 2 and 5,-1 and -10,-2 and -5

Step-by-step explanation:

i jus took the check

The complete list of factor pairs for the constant term in this expression are

1 and 10, 2 and 5, −1 and −10, −2 and −5

The standard form of a quadratic equation is expressed as;

ax²+bx+c = 0

Given the quadratic equation x²−7x+10

To factor this expression, we need to get two values if when multiplied will give 10 (product of the coefficient of x²and the constant term) and the sum will give -7(coefficient of x).

The two values are:

-2 and -5

-2 * -5 = +10-2-5 = -7

2 and 5

2 * 5 = 102 + 5 = 7

1 and 10

1 * 10 = 0

-1 and -10

-1 * -10 = 10

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Jackson invested $8,800 in an account paying an interest rate of 7% compounded
daily. Assuming no deposits or withdrawals are made, how much money, to the
nearest dollar, would be in the account after 13 years?

Answers

Answer:

$21,860

Step-by-step explanation:

The amount after 3 years will be $ 21,206.6

To understand more, check below explanation.

Compound interest:

If the amount P is invested at the rate of r% for n years.

Then amount after n years is computed as;

Given that, Principal = $8,800 , r = 7% and n = 13 years.

                   [tex]A=P(1+\frac{r}{100} )^{n}\\ \\A=8800(1+\frac{7}{100} )^{13} \\\\A=8,800*(\frac{107}{100} )^{13}\\ \\A=\$ 21206.6[/tex]

Hence, the amount after 13 years will be $ 21,206.6

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Plz help me ASAP ;-;

Answers

Option 1! If you expand the bracket and simplify.

Answer:

The person who answered it first is correct

Step-by-step explanation:

Question 13(Multiple Choice Worth 4 points)
(01.06 LC)
Rearrange the equation A = 4xy to solve for X.
Ox
4y
A
Ox=
A
4y
OX=
4Ay
Х
X=
Ax
4y

Answers

Answer:

its

x = A/4y

Explanation:

when we send 4 and Y to the left hand side, their signs changes from multiplication to division and since they were in the numerator, they go to the denominator on the other side.

hope this helps.

helppp i have this test due soon :C

Answers

Answer: D.)

Step-by-step explanation:

Add the rates. 3:1 (3+1)=4

multiply it to the rate. 3(4), 1(4) = 12 and 4

Side a is 12 inches long and side b is 4 inches long.

Write down the first five terms of the sequence which has the n th term

Answers

Answer:

2

A) 12

B) 18

C) 20

D) 11

E) 25

F) 33

Step-by-step explanation:

because the next of the 10 is 12

29-2(3-5w)>13 help plzzzzzzzzzzzz

Answers

Answer:

Step-by-step explanation:

Here you go mate

Step 1

29-2(3-5w)>13  Equation/Question

Step 2

29-2(3-5w)>13  Simplify

29-2(3-5w)>13

Step 3

29-2(3-5w)>13  Subtract 23

10w>-10

Step 4

10w>-10  Divide by 10

answer

w>-1

Hope this helps

simplify the ratio 84: 36: 108: 60

Answers

Answer:

A) 7 : 3

B) 7 : 4

Step-by-step explanation:

84 : 36

Simplified:

42 : 18 ( divided by 2)

21 : 9 ( divided by 2)

7 : 3 ( divided by 3)

7 : 3

108 : 60

35 : 20 ( divided by 3)

7 : 4 ( divided by 5)

7 : 4

Write an equation of the line that passes through the points (-3,-9) and (5.-9).
y =

Answers

y=0x+-9

have a nice day and please consider giving me brainliest if i helped you at all!

The integer to represent a gain of 9 pounds would be ______.

Answers

Answer: -9

Step-by-step explanation:

6. If AABC ~ ADEF, find the value of x.

Answers

Answer:

ED=22.4

Step-by-step explanation:

AB/FE=BC/ED

25/28=20/ED    (x=ED)

ED=22.4

A circle with center B and radius 1cm has three distinct points, F, D and E, on its circumference so that BF and BE and D is on the minor arc FE. Point A is on BF so that DA and BF. The point C is on BE so that ABCD is a rectangle and the distance from C to E is 1cm. Determine the distance from A to F.

Answers

Answer:

8 cm

Step-by-step explanation:

A circle with center B and radius 13 cm has three distinct points, F, D and E, on its circumference so that BF and BE and D is on the minor arc FE. Point A is on BF so that DA is perpendicular to BF. The point C is on BE so that ABCD is a rectangle and the distance from C to E is 1cm. Determine the distance from A to F.

Solution:

Since the radius of the circle is 13 cm, hence:

BF = BD = BE = 13 cm.

For line segment BE; BE = BC + CE

BE = BC + CE

13 = BC + 1

BC = 13 - 1

BC = 12 cm

AD = BC = 12 cm (opposite sides of a rectangle are equal to each other)

Triangle ABD, is a right angled triangle because ∠B = 90°. We can use Pythagoras theorem to find AB:

BD² = AB² + AD²

13² = AB² + 12²

169 = AB² + 144

AB² = 169 - 144

AB² = 25

AB = √25 = 5

For line segment BF, we can use the line segment addition postulate to find the distance from A to F. Let x be the distance from A to F:

BF = AB + x

x = BF - AB

x = 13 - 5

x = 8 cm

Helen has $30 in a savings account that earns 10% interest, compounded annually.
To the nearest cent, how much will she have in 2 years?

Answers

Answer:

100+10= 110

110/100= 1.1

30 X 1.1^2= 36.3

$36.30

45/27=x/3 solve for x pls help

Answers

Answer:

x = 5

Step-by-step explanation:

hope this helps!!

Answer:

x=5

Step-by-step explanation:

5/3=45/27

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