could someone help me a little with this?
polynomial factoring related

Could Someone Help Me A Little With This?polynomial Factoring Related

Answers

Answer 1

Answer:

[tex]2x(x+3)(x + 4)[/tex]

Step-by-step explanation:

To factor [tex]2x^3+14x^2+24x[/tex]

First, factor out the common term [tex]2x[/tex]:

[tex]\implies 2x(x^2+7x+12)[/tex]

Now factor the expression in the parantheses:  [tex]x^2+7x+12[/tex]

Find two numbers that multiply to 12 and sum to 7:  3 and 4

Rewrite [tex]7x[/tex] as the sum of these 2 numbers:

[tex]\implies x^2+3x + 4x+12[/tex]

Factorize the first two terms and the last two terms separately:

[tex]\implies x(x+3) + 4(x+3)[/tex]

Factor out the common term [tex](x+3)[/tex]:

[tex]\implies (x+3)(x + 4)[/tex]

Therefore, the final factorization of the polynomial is:

[tex]\implies 2x (x+3)(x + 4)[/tex]

Answer 2

Let's factor up

2x³+14x2+24x2x(x²+7x+12)2x(x²+4x+3x+12)2x(x+4)(x+3)

So

Length=2xBreadth=x+3Height=x+4

[Can be interchanged]


Related Questions

Pls help easy math will give brainlest

Answers

Answer:

Problem 17

Independent -- T

dependent -- D

_________________________

Problem 16

Independent -- X

dependent -- Y

_________________________

Problem 18

Independent -- R

dependent -- Q

Step-by-step explanation:

If the total amount of a loan, $24,000 is paid off in 3 years with an interest rate of 3.70%, compounded monthly, what was the principal rounded to the nearest cent? Provide only a numerical value for your answer (For example, if your amount came to $5,704.97, then you would type in 5704.97 as your answer).

Answers

Answer:

21482.20

Step-by-step explanation:

A = P(1+r/m)^mt

A = Total Amount, P = Principal, r = rate. m = number of months, t = time

24000 = P(1 + 0.037/12)^12*3

24000 = P(1.003083333)^36 --- I added 1  to 0.037 divied by 12, then multiplied 12*3 on the outside of the parentheses

24000 = 1.117204101(P)

24000/1,117204101 = 1.117204101P/1.1177204101

P = 21482.20

Good luck!  :)

What is the constant of variation?

Answers

Answer:

constant (unchanged) ratio of two variable quantities.

Step-by-step explanation:

Constant of Variation. The constant of variation in a direct variation is the constant (unchanged) ratio of two variable quantities. The formula for direct variation is. y = k x (or y = k x ) where k is the constant of variation .

evaluate 3 square root 125/1000

Answers

Answer: it the first one

Step-by-step explanation:

PLS I NEED HELP i have been stuck on this one for a while

Answers

Answer:

26.0

Step-by-step explanation:

We can apply the Pythagorean theorem to this problem. First, we need to square both legs. 7^2 = 49, and 25^2 = 625. If we add them, they equal 674. We then just take the square root of 674 which is 26.96. When rounded, that is 26.0

8x - 8 = 7x simplified down

Answers

Step-by-step explanation:

Hope my answer helps mark me brainliest

Answer:

x = 8

Step-by-step explanation:

Step 1: Subtract 7x from both sides.

8x−8−7x=7x−7x

x−8=0

Step 2: Add 8 to both sides.

x−8+8=0+8

x=8

HGD

-ghost

17/3x+17-2/3x-15 what is the solution

Answers

Answer:

Step-by-step explanation:

[tex]\sf \dfrac{17}{3}x+17-\dfrac{2}{3}x-15 = \dfrac{17}{3}x-\dfrac{2}{3}x+17-15[/tex]

                               [tex]=\dfrac{17-2}{3}x + 2\\\\\\=\dfrac{15}{3}x+2[/tex]

What is the value of this expression when a = 4, b= -5, and c =-7?
a + 2bc/3a

Answers

Answer:

The answer would be c- 6 1/6

Step-by-step explanation:

I recommend desmos scientific calculator if you put in a=4, b=-5, c=-7 then plug in the equation it should give you your answer!

The following shape has 0 pairs of parallel sides. What is the area of the shape?

Answers

Answer:

67.5 square units

Step-by-step explanation:

Formulae

[tex]\textsf{Area of a triangle}=\sf \dfrac12bh[/tex]

(where b is the base and h is the height)

[tex]\textsf{Area of a trapezoid}= \sf \dfrac12(a+b)h[/tex]

(where a and b are the bases, and h is the height)

Solution

We can divide this shape into a triangle and a trapezoid.

[tex]\implies \textsf{Area of triangle}=\sf \dfrac12 \cdot 10 \cdot 7=35\:\textsf{(square units)}[/tex]

[tex]\implies \textsf{Area of trapezoid}= \sf \dfrac12(3+10)\cdot 5=32.5\:\textsf{(square units)}[/tex]

Therefore:

Area of shape = 35 + 32.5 = 67.5 square units

Area of trapezoid

1/2(10+3)(5)1/2(13)(5)65/232.5units²

Area of traingle'-

1/2(10)(7)5(7)35units²

Total area:-

35+32.567.5units²

Charlotte has a peice of string that is 14 feet long. She cuts it into pieces that are each 1/3 foot long. How many cut pieces of string does charlotte have?

Answers

Answer:

42

Step-by-step explanation:

Since each cut is 1/3 of a foot, you can tell that it will take 3 pieces to make 1 foot. Based on that ratio, you can do 14*3, which is 42 pieces.

The answer is 42 hope this helps

Pls help math easy will give brainlest

Answers

Answer(s)

Problem 9: 138.53

Problem 10: Function

Problem 11: Not A Function (Not Sure)

Edit; Problem 9 should've been right, I have no idea then.

Express as a sum of logarithms.


[tex] log_{2}(16 \times 24) [/tex]

Answers

Log form 7 + log 2 (3)

Decimal form 8.585

Cindy counted 8,723 blue beads, 4,632 red beads, 3,512 green beads, and 5,971 white beads.
Doris counted 6,802 blue beads, 3,162 red beads, 987 green beads, and 2,689 white beads.
How many did Cindy and Doris count in all.

Answers

Answer:

36,478 beads

Step-by-step explanation:

8723+4632+3512+5971=22,838

6,802+3,162+987+2,689=13,640

22,838+13,640= 36,478

So Cindy and Doris have 36,478 beads in total.

Linda has a credit card with a balance of $600.00. The APR on her credit card is 18%. Her minimum payment is $20.00. If Linda stops using her credit card, how long will it take (in months) to pay off the $600.00 if she makes only the minimum payment?

Answers

your mom is very cool and i need points so i’m answering

Please help will mark brainiest

Answers

Pretty sure it’s linear sorry if I’m wrong

Please help me thank you!

Answers

Answer:

a(1) = 11a(n) = 4 + a(n-1)

Step-by-step explanation:

The first term shown is 11. The terms have a common difference of 15 -11 = 4.

These values let you write the recursive formula:

  [tex]a_1=11\\a_n=4+a_{n-1}[/tex]

__

The common difference is added to the previous term to find the current term.

How many solutions does this
system have?
=
-x + 3y = 3
2x – 6у = 30

Answers

-x+3y=3

-x+3y-3=0

F(x,y)=-x+3y-3-fx=?


F(x,y)=-x+3y-3-fy=?

Fx=-1

Fy=3

Dy 1
= —
Dx 3

What's 3 + 1 because yes

Answers

Answer:

4

Step-by-step explanation:

8+y+g+0= 4

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS PLEASE AND PLEASE EXPLAIN WHY THAT IS THE ANSWER

Answers

Answer: 40 degrees

Step-by-step explanation:

[tex]\begin{aligned}& \triangle A B C \cong \triangle D E F \\&\therefore \angle A=\angle D \quad(\text{By corresponding parts of a congruent triangle}) \\&x+20=2 x \\&2 x-x=20\\& x=20\\&\therefore m\angle A=x+20=20+20=40^{\circ} \\\end{aligned}[/tex]

Explain how to use a graph of the function f(x) to
find f(3)

Answers

Answer:

depends

Step-by-step explanation:

f(x) is the function. the (x) corresponds with the x axis or coordinate. so find 3 on the x axis and find its corresponding y.

Three numbers have a mean of 7.
The numbers are 15, 2, and what?

Answers

Answer:

The mean is 4

Step-by-step explanation:

15+2+4 = 21 which you can divide by 3 = 7

Simplify: 5/6(12x + 36) + 2/3​

Answers

Answer:

GG EZ

Step-by-step explanation:

GG 34/57(12/16)=54/65/

67-67-&45&12+3-2(-6)

= simpli

=12-76-Fgh

can someone help me with this ​

Answers

Answer:

32

Step-by-step explanation:

first subtract 8 from his age and then multiply it by four.

32. We know Dave is 16, we subtract 8 years to get 8. 8x4= 32.

The product of two positive integers is 20. Find the two numbers​

Answers

Answer:

1 and 20    or   2 and 10   or   4 and 5

Step-by-step explanation:

the divisors of 20 are 1 , 2 , 4 , 5 , 10 , 20

Then

20 = 1 × 20

     = 2 × 10

     = 4 × 5

   

Suppose that each person sitting in an enclosed room that measures 10 ft x 15 ft x 12 ft produces about 600 BTUs of
body heat per hour. Which statements are correct?
A)
3 people will produce approximately 8.33 BTUs/ft3 in a 9 hour period.
B)
4 people will produce approximately 13.33 BTUs/ft3 in a 10 hour period.
C)
5 people will produce approximately 3.33 BTUs/ft? in a 2 hour period.
D)
6 people will produce approximately 7.33 BTUs/ft3 in a 4 hour period.
E)
7 people will produce approximately 9.33 BTUs/ft3 in a 4 hour period.

Answers

The volume of a cuboid is the product of its length, width, and height. Out of the five statements B, C, and E are correct.

What is the volume of a cuboid?

The volume of a cuboid is the product of its length, width, and height. It is formulated as:

[tex]\rm \text{Volume of Cuboid} = Length \times Width \times Height[/tex]

As the dimensions of the room are given and a room is mostly in the shape of a cuboid. Therefore, the volume of the room can be written as,

The volume of the room = 10ft × 15ft × 12ft = 1800 ft³

A.)

The heat produced by 3 people in a period of 9 hours will be

= 600 BTU × 3 people × 9 hour

= 16,200 BTU

We already know the volume of the room is 1800 ft³. Therefore, the heat produced per unit volume can be written as:

[tex]\rm \text{Heat produced per unit volume}= \dfrac{16,200\ BTU}{1800\ ft^3} = 9\ BTU/ft^3[/tex]

Hence, the statement that 3 people will produce approximately 8.33 BTUs/ft³ in a 9 hour period is wrong.

B.)

The heat produced by 4 people in a period of 10 hours will be

= 600 BTU × 4 people × 10 hours

= 24,000 BTU

We already know the volume of the room is 1800 ft³. Therefore, the heat produced per unit volume can be written as:

[tex]\rm \text{Heat produced per unit volume}= \dfrac{24,000\ BTU}{1800\ ft^3} = 13.334\ BTU/ft^3[/tex]

Hence, the statement that 4 people will produce approximately 13.334 BTUs/ft³ in a 10 hour period is correct.

C.)

The heat produced by 5 people in a period of 2 hours will be

= 600 BTU × 5 people × 2 hours

= 6,000 BTU

We already know the volume of the room is 1800 ft³. Therefore, the heat produced per unit volume can be written as:

[tex]\rm \text{Heat produced per unit volume}= \dfrac{6,000\ BTU}{1800\ ft^3} = 3.334\ BTU/ft^3[/tex]

Hence, the statement that 5 people will produce approximately 3.334 BTUs/ft³ in a 2 hour period is correct.

D.)

The heat produced by 6 people in a period of 4 hours will be

= 600 BTU × 6 people × 4 hours

= 14,400 BTU

We already know the volume of the room is 1800 ft³. Therefore, the heat produced per unit volume can be written as:

[tex]\rm \text{Heat produced per unit volume}= \dfrac{14,400\ BTU}{1800\ ft^3} = 8\ BTU/ft^3[/tex]

Hence, the statement that 6 people will produce approximately 7.334 BTUs/ft³ in a 4 hour period is wrong.

E.)

The heat produced by 7 people in a period of 4 hours will be

= 600 BTU × 7 people × 4 hours

= 16,800 BTU

We already know the volume of the room is 1800 ft³. Therefore, the heat produced per unit volume can be written as:

[tex]\rm \text{Heat produced per unit volume}= \dfrac{16,800\ BTU}{1800\ ft^3} = 9.334\ BTU/ft^3[/tex]

Hence, the statement that 7 people will produce approximately 9.334 BTUs/ft³ in a 4 hour period is correct.

Learn more about the Volume of a Cuboid:

https://brainly.com/question/23118276

#SPJ1

y=x^2+16x+71 in vertex form

Answers

Answer:

y=(x+8)^2+7

Step-by-step explanation:

А,
С
X = [?]°
55°
D
B
Х
E
→F
Angles are not drawn to scale.
Enter

Answers

Answer:

[tex]\displaystyle 35[/tex]

Explanation:

Complementary Angles sum up to ninety degrees, so do the following:

[tex]\displaystyle 90° = 55° + m\angle{DEF} \\ \\ 35° = m\angle{DEF}[/tex]

I am joyous to assist you at any time.

Plsss help me with this answer this is due tmrw

Answers

Answer:

2

Step-by-step explanation:

13+7x=27

-13 -13

7x=14

÷7

x=2

Answer:

x = 2

Step-by-step explanation:

Given

13 + 7x = 27

#1) Subtract 13 from each side.

13 + 7x - 13 = 27 - 137x = 14

#2) Divide 7 from each side.

7x/7 = 14/7x = 2

simplify 15a6bc4/35a2c4 20a3b (3a4b/7) 20a4b 3a3b/7

Answers

Answer:

The answer is

C.) 3a⁴b/7

Step-by-step explanation:

I know it's the right answer because It's the answer it showed on Edge.

Can somebody please help me I will mark u brilliant

Answers

Answer:

2/7 + (-3/4) + (-2/7) + 4/3

If we look at 2/7 and (-2/7), we can see that both of them combined will get you a result of 0, so let's do that first.

2/7 + (-2/7) = 0

Now we're left with;

(-3/4) + 4/3

Make sure to convert both fractions into having a common denominator,

[They both have a common denominator of 12], so:

(-3/4) = (-9/12)

4/3 = 16/12

Add them:

(-9/12) + 16/12

16/12 - 9/12

= 7/12, which cannot further be simplified.

Other Questions
2. What act of violence is the intentional damage to another person's property? A prejudice B intolerance C discrimination Dvandalism The area of the triangle below is 29.25 square centimeters. What is the length of the base? With direct fuel injection the gasoline is injected: The pontine storage center controls micturition by:. please help me and provide step by step explanation! HELPPP Riddle: Who am I? You may have seen my latest blockbuster movie. It's playing nowin underwater theaters. I am a_ _ _ _ _ _ _. name the lengths of the sides of three rectangles with perimeters of 12 units Why did farmers start building barbed wire fences on their farms in the great plains?. When you lift a book from the ground to your desk, what kind of work do you do, negative or positive? By lifting the book, what do you change? Does the book gain or lose energy? What kind of energy? Second question: A ball with a mass of 5.0g is moving at a speed of 2.0 m/s. Would doubling the mass or doubling the speed have a greater effect on the kinetic energy of the ball? Explain. Jake is enclosing a rectangular field that is 47 yards by 158 yards with wood fencing. The cost per foot of wood fencing is $3.28.How much will the wood fencing cost?Answer options with 4 optionsA. $672.40B. $1,344.80C. $2,017.20D. $4,034.40 1. Mrs. Rodger got a weekly raise of $145. If she gets paid every other week, write an integer describing how the raise will affect her paycheck. Laura wants 3 scoops of ice cream. She can choose from vanilla, chocolate, mint, raspberry, blueberry, and coffee flavors. How many combinations of 3 scoops of ice cream can Laura choosefrom? The dot plot below shows the number of books 26 students read in a month:Dot plot labeled Number of Books Read shows 10 dots over 0, 7 dots over 1, 3 dots over 2, 2 dots over 3, 1 dot over 4, and 3 dots over 10.Is the median or the mean a better center for this data and why? Mean; because the data is skewed and there are outliers Mean; because the data is symmetric and there are outliers Median; because the data is skewed and there are outliers Median; because the data is symmetric and there are outliers Given the conditional relative frequency table by column, what does the 0.14 represent? given that a student is a 10th grader, there is a 14% chance he or she has a job. given that a student has a job, there is a 14% chance he or she is a 10th grader. 14% of the students surveyed are 10th graders who have a job. 14% of the students are 10th graders. Why did Abraham Lincoln quote from the Declaration of Independence in the Gettysburg Address?He wanted to increase the anger at Southerners in the North and call for the complete destruction of the South.He wanted to emphasize the principles of the nation and call for a renewal of those principles.He wanted to increase Southern anger at the North and call for a permanent end of the ties between North and South.He wanted to emphasize that people can declare their freedom from governments they do not like and call for reconciliation with the South. What are the two major groups of the skeleton? solve for x ~[tex]16x - 4 = 0[/tex]thankyou ~ If you are a military personnel and you knowingly leaked classified information to an unauthorized. If 1/4in on a map represents 1 meter, how many meters does 4/5in represent? 26. The Bloodborne Pathogen Standards protect workers by:Requiring that facilities follow the Centers for Disease Control and Prevention (CDC) standard precautions forbloodborne pathogens protecting workers from known and unknown diseases which can be transmitted by bloodRecommending nursing homes to follow the Centers for Medicare and Medicaid Services (CMS) suggested precautions forbloodborne pathogens thereby helping diseases of unknown origin be transmitted from person to persono identifying where bloodborne pathogens are most likely to be and taking steps to help facilitate the spread of pathogensAll the above