Mathematics High School

I need help with factoring trinomals.
Please explain how you got the answer.

Answers

Answer 1

9514 1404 393

Answer:

(x +6)(3x +4)

Step-by-step explanation:

The usual approach to this is to look for factors of the product 3·24 that have a sum of 22.

72 = 1·72 = 2·36 = 3·24 = 4·18 = 6·12 = 8·9

Sums of these factor pairs are 73, 38, 27, 22, 18, 17.

Now, you can rewrite the expression splitting the middle term into two parts:

3x² +4x +18x +24

x(3x +4) +6(3x +4) . . . . . . factor by grouping

(x +6)(3x +4) . . . . . . . . . . your factored form

_____

Additional comment

I find this method easiest to explain and to do without error. There are various "X" methods in which you write the product at the top (3·24) and the sum at the bottom (22), then fill in the sides with the factors having that product and sum (4, 18). When the leading coefficient is not 1, there are methods added to this that get you to the correct factors.

One such method is to use the leading coefficient inside parentheses: (3x+4)(3x+18) Then divide that product by the leading coefficient:

(3x +4)(3x +18)/3 = (3x +4)(x +6).

In some cases, each of the binomials needs to be divided by part of the leading coefficient; not the whole thing, as here.

Answer 2

[tex]\\ \sf\Rrightarrow 3x^2+22x+24[/tex]

Use midterm splitation

[tex]\\ \sf\Rrightarrow 3x^2+18x+4x+24[/tex]

Take 3x and 4 common

[tex]\\ \sf\Rrightarrow 3x(x+6)+4(x+6)[/tex]

Simplify

[tex]\\ \sf\Rrightarrow (3x+4)(x+6)[/tex]

Done!

Related Questions

There is a proportional relationship between time in hours and time in days.

What is the constant of proportionality?

Answers

Answer:

bbc

Step-by-step explanation:

Answer:

Subtract 12 from each side

4x-15 = 7x

Subtract 4x from each side

-15 = 3x

Divide each side by 3

-5 = x

Rewrite using symmetric propertyx = -5

This is my last question someone help and plz make sure it’s right will mark brainiest plz :)

Answers

Answer:

fort nite

Step-by-step explanation:

i dont know what brainiest means

Help pls
what is the slope intercept form of (-1,8) and (3,6)

Answers

Answer: y = 1/2x+15/2

Step-by-step explanation:

If you need any more help let me know!! I will try to answer every question you post!

How can you model geometry figures to solve real-world problems? Complete the explanation to answer the question. You can use drawings to plan rooms or gardens since the (Ratio/Dimension/scale) of the drawing is a (Ratio/Dimension/scale) between 2 sets of measurements. It shows how each (Ratio/Dimension/scale) in a drawing relates to the actual object.

Answers

the ratio Dimensions are in other Dimensions buuut you have to watch

out for the 7 cat walks because you really wont see them in till you die from it

round 88.85 to the nearest ten

Answers

Answer:

it's 88.9

Step-by-step explanation:

Answer: 88.9

Step-by-step explanation .....

Please help immediately
Show your work

Answers

Answer:

a + 7

Step-by-step explanation:

x^2 + 2x - 8. on [5,a]

(f(a)-f(5))/( a - 5 )

(( a^2 + 2a - 8 ) - 27 ) / a - 5

( a^2 + 2a - 35 ) / a - 5

(a - 5)(a + 7) / a - 5

a + 7

What is the lowest common multiple of 14, 28, and 84?
Explain

help

Answers

Answer:

308

Step-by-step explanation:

first you divide all three numbers by the smallest counting number,in this case, it is a '2' . keep on dividing with other numbers until when you reach a point where the remainder is indivisible, that is to say numbers like 7,11,5 etc.

help me , i will give you points

Explain, using complete sentences, the advantages and disadvantages of a deferred payment plan.

Answers

Answer:

some advantages is that you can not pay all at once some disadvantage is that you can feel like you can. do that always then you can get late fees that can cost more the the product it self

What is 329*56 divided by 21

Answers

Answer:

The answer is 877.333333333

Answer:

877.333333333

Step-by-step explanation:

329*56 divided by 21 = 877.333333333

solve for y
110
75
100
55

Answers

They answer is 100 (can you please hit “thanks”

Answer:

100

Step-by-step explanation:

because a straight line equals 180 degrees. 25 plus 55 is 80. 180 minus 80 is 100, so the answer is 100 degrees

i need help cause i dont know this i was out of school that day

Answers

Answer:

0.315

Step-by-step explanation:

act like the fraction is a division problem divide 6 by 19.

this decimal is a repeating decimal so it will never end rounded to the thousandth place it is 0.315

Marco purchases dog food by the pound for his dog , Bruiser. His total purchase is $34.20, and the food is $4.65 per pound. Write a division problem that could be used to determine how many pounds of dog food Marco purchased.

Answers

Answer:

34.20/4.65=7.35 pounds of dog food

Step-by-step explanation:

total/per pound=# of pounds

34.20/4.65

Due 10/2
for School: Practice & Problem Solving
X 1.9.PS-16
Question Help
5
Challenge Between 9 P.M. and 6:10 A.M., the water level in a swimming pool decreased by in.
24
Assuming that the water level decreased at a constant rate, how much did the water level drop
each hour?
The water level decreased by in. each hour.
(Simplify your answer. Type an integer, proper fraction, or mixed number.)
Enter your answer in the answer box and then click Check Answer.
All parts showing
Clear All
Check Answer

Answers

Answer: The water level drops each hour by 0.1472 inches/hour.

Step-by-step explanation:

We are given that Between 9 AM and 6:10 AM the water level in a swimming pool decreased by 5/12 inches assuming that the water level decreased at a constant rate.

Firstly, we will find the number of hours between 6:10 AM and 9 AM, that is;

Number of hours = From 6:10 AM and 9 AM, there are 2 hours and 50 minutes

So, Number of hours = = 2.833 hours

Also, the water level in a swimming pool decreased by = = 0.417 inches

Now, to find how much did the water level drop each hour, we will divide the amount of water level in a swimming pool decreased by the time interval given, that is;

= 0.1472 inches/hour.

This means that the water level drops each hour by 0.1472 inches/hour.

0.1472 as a fraction is 92/625

Question Toss a coin 30 times and record the result in the table given below: a Frequency Tally Possible Outcome Heads Tails (5 marks Represent the result in a bar graph. a (5 Write an observation you made after tossing the coin 30 times? What was the percentage of tails after 30 toss? Working

Answers

Answer:

Heads 1

Heads 2

Heads 3

Tails 1

Heads 4

Heads 5

Tails 2

Heads 6

Tails 3

Tails 4

Heads 7

Tails 5

Tails 6

Heads 8

Heads 9

Heads 10

Tails 7

Tails 8

Tails 9

Heads 11

Heads 12

Heads 13

Heads 14

Heads 15

Tails 10

Heads 16

Heads 17

Tails 11

Tails 12

Heads 18

Tails was 40% as heads was 60%

Step-by-step explanation:

Can somebody do this please

Answers

Answer:

lines FI and GH

Step-by-step explanation:

both lines are neither parallel nor intersecting and aren't on the same plane

[tex]\bf\red{CD}[/tex]

In 60 seconds , Darrell walks 90
90
meters. Describe the unit rate at he wall

Answers

Answer:

1.5 sec by meters

Step-by-step explanation:

90 meters/60 sec=1.5

Darrel walks at a unit rate of 1.5 m/sec.

What is speed?

Speed is defined as the rate of change of position in unit time.

Mathematically,

Speed = Distance/Time

Now it is given that,

Distance in walk by Darrell = 90 meters

Time taken by Darell to walk 90 meters = 60 seconds

Therefore Speed i.e unit rate of walk is given as,

Unit rate of walk = Distance in walk by Darrell / Time taken by Darell to walk 90 meters

⇒ Unit rate of walk = 90/60 m/sec

⇒ Unit rate of walk = 3/2 m/sec

⇒ Unit rate of walk = 1.5 m/sec

Thus, Darrel walk at a unit rate of 1.5 m/sec.

To learn more about Speed, Distance and Time :

https://brainly.com/question/13102654

#SPJ2

Which number line represents the solution to the inequality below? *PLEASE ANSWER AND SHOW ALL WORK*

Answers

The answer to this would be B

suppose that p is the probability that a randomly selected person is left handed. The value (1-p) is the probability that the person is not left-handed. In the sample of 100 people, the function V(p)= 1000 p(1-p) represents the variance of the number of left-handed people in a group of 100.
a) What value of p maximizes the variance?
b) What is the maximum variance?

Answers

Answer:

a) 1/2

b) 250

Step-by-step explanation:

The start of the question doesn't matter entirely, although is interesting to read. What we are trying to do is find the value for [tex]p[/tex] such that [tex]1000p(1-p)[/tex] is maximized. Once we have that [tex]p[/tex], we can easily find the answer to part b.

Finding the value that maximizes [tex]1000p(1-p)[/tex] is the same as finding the value that maximizes [tex]p(1-p)[/tex], just on a smaller scale. So, we really want to maximize [tex]p(1-p)[/tex]. To do this, we will do a trick called completing the square.

[tex]p(1-p)=p-p^2=-p^2+p=-(p^2-p)=-(p^2-p+1/4)-(-1/4)=-(p-1/2)^2+1/4[/tex].

Because there is a negative sign in front of the big squared term, combined with the fact that a square is always positive, means we need to find the value of [tex]p[/tex] such that the inner part of the square term is equal to [tex]0[/tex].

[tex]p-1/2=0\\p=1/2[/tex].

So, the answer to part a is [tex]\boxed{1/2}[/tex].

We can then plug [tex]1/2[/tex] into the equation for p to find the answer to part b.

[tex]1000(1/2)(1-1/2)=1000(1/2)(1/2)=1000*1/4=250[/tex].

So, the answer to part b is [tex]\boxed{250}[/tex].

And we're done!

Given the function f(x)=8-3x. Solve f(-2)

A. -14
B. 14
C. -2
D. 2

Answers

Answer:

14, which is B.

Step-by-step explanation:

Plug in -2 in your function.

f(-2) = 8-3(-2)

= 8 - (-6)

= 8 + 6 = 14

Help! I’ll mark brainly list but please explain!!

Answers

Answer:

9.75, 2, and 56.25

Step-by-step explanation:

Since it's 4 movie tickets, 2 popcorns (which are $6.25),

4(9.75) + 2(6.25 -> Popcorn) + 4.75

= 39 + 12.5 + 4.75

= 39 + 17.25

= $56.25

As for the total cost,

4 * 9.75 = 39

2 * 6.25 = 12.5

1 * 4.75 = 4.75

Feel free to mark this as brainliest! :D

How do you get the answer to these two questions? I don’t understand

Answers

Answer:

Hey, so it's actually pretty simple I'll try my best to explain it properly!

Step-by-step explanation:

So for the first blue circle the line that goes to the middle that's the radius. And to solve the area you need to know the radius. The formula to solve the area is A = [tex]\pi[/tex] [tex]r^{2}[/tex] so what we would do its 3.14 times 6 times 6 or 3.14 times 36 which would give us the area! Now for circumference, the equation for that is C = 2[tex]\pi r^{2}[/tex] which would look like 2 times 3.14 times 6 times 6 or 2 times 3.14 times 36 and that would give you the circumference.

1) soe soe had 15kg of flour. She used 4/5 of it to make some cookies. How many kilograms of flour had she left?

2) U Kyaw mixed red paint and blue paint in the ratio 5:3 for painting a wall. If he made 24 liters of paint for the painting job, how many litres of blue paint did he use?

Answers

Answer:

1) 3 liters left

2) 9 liters of blue paint

Step-by-step explanation:

1) 1/5 * 15 = 3

2) 3 liters of blue paint for each 8 liters.

24/8 * 3 = 9

Fractions and Comparisons

Level : JHS

The amount of flour used is :

= 4/5 × 15 kg

= 12 kg

The amount of flour left is :

= 15 kg - 12 kg

= 3 kg

5 : 3 = Red : Blue

The amound of blue paint :

= 3 : (3 + 5) × 24 liters

= 3 : 8 × 24 liters

= 9 liters

So, the litres of blue paint did he use is 9 liters

#LearnWithEXO

Which lines are parallel to y = -4x + 7?

A y-1=4(x+8)
B y=-4x+15
C 16x+4y=9
D y=-4x

Answers

Answer:

The answer is C

Step-by-step explanation:

I don't know if I'm right. Hope it helps!

In the sequence 2, 8, 16, 64, 256, 1024 what is the fourth term?

Answers

Answer:

64 is the fourth term

Step-by-step explanation:

Note : -

First term : 2

Second term : 8

Third term : 4

Fourth term : 64

Fifth term : 256

Sixth term : 1024

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I need help with factoring trinomals. Please explain how you got the answer.

Answers

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I need help with factoring trinomals.
Please explain how you got the answer.