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

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

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!

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!  :)

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

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

   

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

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]

What's 3 + 1 because yes

Answers

Answer:

4

Step-by-step explanation:

8+y+g+0= 4

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

evaluate 3 square root 125/1000

Answers

Answer: it the first one

Step-by-step explanation:

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.

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

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

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.

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

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

Answers

Answer:

y=(x+8)^2+7

Step-by-step explanation:

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:

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.

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

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

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

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.

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.

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 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 .

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.

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.

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.

Please help will mark brainiest

Answers

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

Express as a sum of logarithms.


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

Answers

Log form 7 + log 2 (3)

Decimal form 8.585
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