If you're solving a quadratic equation by factoring
what would the factorization of g(x)=x^2+12x+20

Answers

Answer 1

Answer:

Step-by-step explanation:

Product = 20

Sum = 12

Factors = 2 , 10    {2*10 = 20 & 2+10 = 12}

x² +12x + 20 = x² + 2x + 10x + 20    {Split the middle terms using the factors}

       = x( x + 2) + 10(x + 2)

       = (x + 2)(x + 10)


Related Questions

HELP Please
I really need the answer​

Answers

Step-by-step explanation:

a full circle has 360°.

so, since each individual result is represented by an amount of degrees, the total sum of all results must be 360°.

labour = 360 - 136 - 34 - 54 - 14 = 122°

the fraction 122/360 represents the 183 votes for labour.

122/360 = 183

the fraction 1/1 = 1 then represents the total number of votes in the whole system.

61/180 = 183

1/180 = 3

1 = 3×180 = 540

540 pupils voted altogether.

What is a1 if a6 = 35 and a9 = 8

Answers

Answer:

the answer is 80

Step-by-step explanation:

it wrote the problem down on paper and did the math and i got 80

whats 4n = 880.4's solution??

Answers

Answer:

n = 220.1

Step-by-step explanation:

4n = 880.4n = 880.4 ÷ 4n = 220.1

the value of n is 220.1

The Smiths bought an apartment for $65,000. Assuming the value will appreciate at most 3% a year, how much will the apartment be in 4 years?

Answers

Answer:

$73158.07

Step-by-step explanation:

The way to get this is realize that appreciate by 3% means that the value will go up 3% each year. in order to do this we must multiply 65000 by 1.03 4 times. 65000 times 1.03 times 1.03 times 1.03 times 1.03 = 73158.07.

please mark me as brainlyest

Answer: $73,157.50

Step-by-step explanation:

Given: bought price of apartment(p) = $75000, rate of appreciation(r) = 4.3% and time(t) = 7 years

We know the compound interest/appreciation formula is:

S=p(1+r/100)^t

[tex]\begin{aligned}S &=\$ 65000\left(1+\frac{3}{100}\right)^{4} \\&=\$ 65000\left(\frac{100+3}{100}\right)^{4} \\&=\$ 65000\left(\frac{103}{100}\right)^{4} \\&=\$ 65000\times 1.1255 \\&=\$ 73,157.50\end{aligned}[/tex]

Therefore, the apartment will be worth about $73,157.50 in 4 years

Need help on this question ASAP pleasee

Answers

Answer:

c

Step-by-step explanation:

vertical translation down two units

HELP PLEASE ASAP!!!!!!!!!!!!!!!!!!

Answers

Answer:

(3, 5)

Step-by-step explanation:

Answer:

(3, 5)

explanation:

solve for x:

5x-10=-3x+14

5x + 3x = 14 + 10

8x = 24

x = 3

solve for y:

y = 5x -10

y = 5(3) - 10

y = 5

In (x, y) form → (3, 5)

in triangle cde find ec

Answers

Step-by-step explanation:

EF/EC = FG/CD

12/EC = 20/45

12 = 20/45 EC

12×45/20 = EC

27 = EC

EC = 27

What side lengths should be used to model a rectangle with an area of x2 3x – 10 square units? x – 5 and x 2 x – 2 and x 5 x and x 3 x 3 and x – 10

Answers

The dimension of the rectangle is (x + 5) and (x – 2). Then the correct option is B.

What is a factorization?

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The area of the rectangle is x² + 3x – 10.

On factorization, we have

x² + 3x – 10

x² + 5x –2x – 10

x (x + 5) –2 (x + 5)

(x + 5) (x – 2)

We know that the area of a rectangle is given as

Area = Length × Width

x² + 3x – 10 = (x + 5)(x – 2)

On comparing, we have

The dimension of the rectangle is (x + 5) and (x – 2). Then the correct option is B.

More about the factorization link is given below.

https://brainly.com/question/6810544

Answer:

see picture

Step-by-step explanation:

4.
Ten participants in a health study each ran a distance of 1 mile. The pulse rates of the participants were recorded before and after the run. The pre-run and post-run pulse rates, in pulses per minute (ppm), are shown in the table below.


Based on the data in the table, which statement is true?

Answers

The data given on the table about the ten participants in the health study shows that B. The post-run mean and median are the same value.

What is the post run mean?

This can be found as:

= (87 + 95 + 96 + 101 + 110 + 104 + 100 + 101 + 90 + 96) / 10

= 98

What is the post run median?

First order the pulses from smallest to largest:

= 87, 90, 95, 96, 96, 100, 101, 101, 104, 110

The two digits in the middle are:

96 and 100

The median will be:

= (96 + 100) / 10

= 98

In conclusion, option B is correct.

Find out more on the median at https://brainly.com/question/396397.

what percent of 250 is 182?​

Answers

72.8%

182/250 = 0.728 = 72.8%

Answer:

182 is 72.8% of 250

round off 6 337 927 to 3 significant figures​

Answers

Answer:6340000

Step-by-step explanation:

what is the remainder of 4.75?????

Answers

Answer:

I think its the 75

Step-by-step explanation:

hope this helps

GIVING BRAINLIEST 100 points

Answers

Answer:

A) 4n+30=95

B) 95-30=65 4n=65 65/4=16.25 or 17 weeks to save a little more than $95

C) the least number of weeks would be 17 since it says a whole week

Step-by-step explanation:

Hope this helped.

A brainliest is always appreciated.

Answer:

i dont know

Step-by-step explanation:

what is the value of \sqrt{21} rounded to the nearest tenth

Answers

Answer:

4.5

explanation:

4.5 x 5(This number is not exactly important, but is used as an example)

Is extremely close to the true square root of 21.

That is 4.58257569495584 unrounded.

61280 divide by 72 I do not know how to get this answer please help

Answers

Answer:

851.1

Step-by-step explanation:

It would be 851.1

Which side of triangle XYZ is the longest?
A. overline XY
B. overline XZ
C. overline YZ
D. Cannot be determine

Answers

Answer:

B)XZ

Used a calculator and just took this quiz

Answer:

B

Step-by-step explanation:

m < y = 180 degrees - 60 degrees - 43 degrees = 77 degrees

77 > 60 > 43

xz >  yz  > xy

XZ is the longest side. So the answer is B

Factor the expression 4x2-100

(4x-5)(x+20)

(2x+5)(2x-20)

4(x-5)(x+5)

(2x-5)(2x+20)

Answers

Atleast write the question correctly man, if you’re trying to say factor 4x^2 -100 then the answer will be C: 4(x-5)(x+5)

A lifeguard fills a pool with water at a constant rate. After 12 hour, 13 of the pool is filled. At this rate, what fraction of the pool is filled per hour?.

Answers

At the considered rate the fraction of pool that is filled per hour is 13/12

How to measure the rate of change of something as some other value changes?

Suppose that we have to measure the rate of change of y as x changes, then we have:

[tex]Rate = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]

where we have

[tex]\rm when \: x=x_1, y = y_1\\when\: x = x_2, y= y_2[/tex]

Remember that, we divide by the change in independent variable so that we get some idea of how much the dependent quantity changes as we change the independent quantity by 1 unit.

(5 change per 3 unit can be rewritten as 5/3 change per 1 unit)


For the considered case, we can take time spent as difference of independent variable, and the amount of pools filled as the corresponding difference of the dependent variable.

in 12 hour time interval total 13 pools were filled.

That means

Rate of filling the pool is 13 pools per 12 hours or [tex]\dfrac{13}{12}[/tex] pools per hour.

Thus, at the considered rate the fraction of pool that is filled per hour is 13/12

Learn more about rate of change here:

https://brainly.com/question/11484885

See pic attached ..,,,​

Answers

Answer:

hey buddy

do u rember me its me manisha

By selling a jacket for Rs 729, Sunanda lost 10 %. What was the cost price of the
jacket?

Answers

Answer:

810

Step-by-step explanation:

SP = 729, LOSS = 10.1

[tex]loss \: = \frac{(cp - sp)}{cp} \times 100 \\ \\ 10 = ( \frac{cp - 729}{cp} ) \times 100[/tex]

10 CP = CP x 100 - 729 x 100

729 x 100 = 90 CP

[tex]cp = \frac{729 \times 100}{90} = 810 [/tex]

Cost Price,

$810

in rectangle QRST , QS = 5x-31 and RT= 2x+11. Find the lengths of the diagonals of QRST

Answers

Answer:

11.7

Step-by-step explanation:

I just solved and added them all-

NEED HELP ASAP EASY 10 to 20 POINTS

Answers

Given :

Find the gcf of the first two terms and the GCF of the last two terms for the polynomial.

[tex] \qquad \longrightarrow \sf \: 5p {}^{3} + 10 {p}^{2} + 3p + 6[/tex]

Solution :

The first two terms of the polynomials are :

[tex]\qquad \longrightarrow \sf \: 5p {}^{3} + 10 {p}^{2} [/tex]

[tex]\qquad \longrightarrow \sf \: 5p {}^{2} (p + 2)[/tex]

Therefore,

Their Greatest common factor is 5p² .

The last two terms of the polynomials are :

[tex]\qquad \longrightarrow \sf \: 3p + 6[/tex]

[tex]\qquad \longrightarrow \sf \: 3(p + 2)[/tex]

Therefore,

Their Greatest common factor is 3 .

in simple terms, how do u factor a polynomial by distribution? for example " 36a^2 + 24a?​

Answers

Answer:

6a (6a + 4)

Step-by-step explanation:

What is the highest number that goes both into 36 and 24? That is 6. What else do they have in common? The letter a

So 6a(6a + 4)

Write the equaition in slope-intercept form of the line through (6,9) and (-12,-3)

Answers

The answer to this question is y = 2/3x + 5

Some boats were traveling up and down a river. A satellite recorded the movements of several boats.

A motor boat traveled -3.4 miles per hour for 0.75 hours. How far did it go? miles
A tugboat traveled -1.5 miles in 0.3 hours. What was its velocity? miles per hour

Answers

Answer:

3a) 2.55 miles

3b) -5 mi/h

Step-by-step explanation:

3a)

In this problem, we want to know the distance travelled by the boat.

For a boat in uniform motion (=constant speed), the distance travelled can be written as

d=vtd=vt

where:

d is the distance travelled

v is the speed

t is the time

For the motor boat in this problem, we have:

v = 3.4 mi/h (we ignore the negative sign, because it only refers to the direction, but here we are considering the speed, which is a scalar and has no direction)

t = 0.75 h is the time

Therefore, the distance travelled is

D= (3.4)(0.75 = 2.55 miles

3b)

The velocity of an object is the ratio between its displacement (change in position) and time taken.

Since velocity is a vector, it has both a magnitude and a direction: so in this case, we also have to consider the sign when expressing the velocity.

The velocity is given by:

v=\frac{d}{t}v=

t

d

where

d is the displacement

t is the time taken

For the tugboat in this problem,

d = -1.5 mi is the displacement

t = 0.3 h is the time taken

So, its velocity is

v=\frac{-1.5}{0.3}=-5 mi/hv=

0.3

−1.5

= -5 mi/h

And the negative sign indicates that the boat is moving in the negative direction.

-5 mi/hi hope this helps :)

3. Maria signed up for a lawn service. She was
charged an initial fee of $75 plus $18 for every
application. How many applications did she
get with $525?

Answers

Step-by-step explanation:

525 - 75 = 450

18 for ever one

equals to 450

18x = 450

450÷18 = x

450 ÷ 18 is

comment and i will check

please put brainest

what does this equal to?

Answers

Answer:

x = 14

y = 7

z = 22

Step-by-step explanation:

x = # of cucumbers

y = # zucchini

z = # tomatoes

x + y + z = 43

2y = x  or  y = x/2

x + 8 = z

x + x/2 + x + 8 = 43

2x + x/2 = 35

4x + x = 70

5x = 70

x = 14

2y = 14

y = 7

14 + 8 = z

z = 22

Check if these variables are right:

14 + 7 + 22 = 43 ✔️

i need an explanation please​

Answers

Answer:  2n - 2

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

Explanation:

The [tex]n^2[/tex] terms cancel out because

[tex]n^2 + (-n^2) = n^2 - n^2 = 0n^2 = 0[/tex]

The n terms combine to

5n + (-3n) = 5n - 3n = 2n

Lastly, the constants combine to

-6 + 4 = -2

Overall we have 2n - 2 as the simplified result.

Identify the shape and solve for X

(will give Brainliest)
PLEASE HELP

Answers

Answer:

see explanation

Step-by-step explanation:

the figure has 4 congruent sides and 4 right angles and is therefore a square, then

8x - 15 = 3x + 11 ( subtract 3x from both sides )

5x - 15 = 11 ( add 15 to both sides )

5x = 26 ( divide both sides by 5 )

x = 5.2

Answer:

It's a square

x = 26/5

Step-by-step explanation:

Well, since all the sides are equal (shown by the 3 lines in the sides) and all the angles are 90 degrees (show by the little squares in the corners), I believe the shape is a square.

Because the sides are equal, you would set up the equation by making the two expressions equal to each other:

3x + 11 = 8x - 15

The next step is to get the variable (x) on only one of the sides. You can do this by subtracting 3x from both sides or by subtracting 8x from both sides. I will subtract 3x here just so the new number can be positive, but either will work.

3x + 11 = 8x - 15

-3x -3x

0 + 11 = 5x - 15

Now, you isolate the x by adding 15 to both sides. Remember, whatever you do to one side, you must also do it to the other side of the equal sign.

11 = 5x - 15

+15 +15

26 = 5x

Lastly, get rid of the number in front of the x so that x is alone on a side of the equal sign. You do this by dividing both sides by 5.

x = 26/5

Now, you can either make this into a mixed number or a decimal or keep it how it is. I hope this helps :]

Solve this:
Profit and Loss
ʘ‿ʘ

Answers

Answer:

181.44

Step-by-step explanation:

In term of Rajan

CP= Rs 180

P= 20%

So,

P = 20*180/100

= Rs 36

SP=CP + P

=Rs 216

In term of Sajan

CP= Rs 216

loss=20%

l = 20*216/100

= Rs 43.2

SP= CP - l

= Rs 172.8

In term of Nirajan

CP= 172.8

P = 5%

P = 5*172.8/100

= Rs 8.64

so,

SP=CP + P

=172.8 + 8.64

= Rs 181.44

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