(3a+1)^{2} -4a^{2} +4a-1
can someone factorize this while explaining how please:)

Answers

Answer 1

Answer:

5a(a + 2)

Step-by-step explanation:

Given

(3a + 1)² - 4a² + 4a - 1 ← expand factor using FOIL

= 9a² + 6a + 1 - 4a² + 4a - 1 ← collect like terms

= 5a² + 10a ← factor out 5a from each term

= 5a(a + 2)


Related Questions

Please answer with explanation

Answers

Answer:

a direct variation is a relation that is of the form y = mx

example of a direct variation: y = 2x

a partial variation is is a relation that is of the form y = mx+b

example of a partial variation: y = 2x + 1

a non-linear function doesn't have a constant rate of changethe graph for a non-linear relationship is curveda non-linear curve may show a positive or a negative relationship

Maggie is creating a cushion for a circular stool. The stool has a diameter of 14 inches. If she needs fabric to extend 2 inches all the way around the cushion, how much fabric will she need?

Answers

Answer:

396 in.^2

Step-by-step explanation:

The cushion is shaped like a cylinder with 14 inch diameter and 2 inch height.

We need to find the surface area of the cylinder.

diameter = 14 in.

radius = diameter/2 = 7 in.

height = 2 in.

A = 2(pi)r^2 + 2(pi)rh

A = 2(3.14159)(7 in.)^2 + 2(3.14159)(7 in.)(2 in.)

A = 395.84 in.^2

A = 396 in.^2

The amount of fabric that Maggie will need for manufacturing the cushion is 395.84 sq. inches.

What is the surface area of a cylinder?

Supposing that a considered cylinder has radius of 'r' units and height 'h' units, then the surface area of that cylinder would be:

[tex]S = \pi r^2 + \pi r^2 + 2\pi r h = 2\pi r(r + h) \: \rm unit^2[/tex]

The table's diameter is of 14 inches. That means, its radius is of 14/2 = 7 inches.

The cushion is going to have 2 inches extra from all sides, so approximately, it is going to be like a cylinder with radius 7 inches and height 2 inches.

The fabric needed for making cushion (from outer side only) in terms of area is same as the surface area of cylinder with radius of 7 inches and height of 2 inches.

Thus, the amount of fabric that Maggie will need for manufacturing the cushion is [tex]S = 2\pi r(r + h) = 2\pi \times 7(7 + 2) \approx 395.84 \: \rm in^2[/tex]

Learn more about area of a circle here:

https://brainly.com/question/13056790

(6,3); (1,4)

Slope

Giving brainless answer

Answers

(6,3) (1,4)
4-1/3-6
3/-3
The slope is -1
Hope that helped

Answer:

-(1/5)

Step-by-step explanation:

Well slope is basically

(y2-y1) / (x2-X1)

Subsitute in those numbers and solve, you’d get -(1/5)

can someone please help i beg you. i have to say why this is wrong and solve this correctly. i beg you please

Answers

.Step-by-step explanation:

Prove: The diagonals of a square are perpendicular.

Answers

Answer:

Step-by-step explanation:

Slope of AC= (a-0)/(a-0) = 1

Slope of BD = (0-a)/(a-0) = (-a)/a =-1

Slope of AC x Slope of BD =1 x -1 = -1

Therefore AC perpendicular to BD

Round 4.743 to the nearest hundredth

Answers

Answer:

4,700

Step-by-step explanation:

4 is not big enough to round the 7 up to a 8

A bill of $424 was paid with $5 bills and $2 bills. A total of 128 bills were used. How
many of them were fives?

Answers

Answer: 56

Step-by-step explanation:

Let the number of $5 be x

Let the number of $2 be y.

Based on the information given, we can form an equation as:

x + y = 128 ........ i

5x + 2y = 424 ....... ii

Multiply equation i by 2

Multiply equation ii by 1

2x + 2y = 256 ...... iii

5x + 2y = 424 ....... iv

Subtract iii from iv

3x = 168

x = 168/3

x = 56.

Therefore, there were 56 $5 bills.

A bag contains a mixture of 300 red and 75 yellow candies. If you choose one candy at random, what is the probability that it is yellow?

Answers

Answer: A solid 4% chance of picking a yellow

brainliest plz

Step-by-step explanation: We first should combine 300 and 75 because those are the total values of the candies in the bag. After, we should divide the different candies by the total amount of them getting the numbers .8 for red and .2 for yellow. Since the question is that the yellow occurs but not the red and you can miss the bag you would want to calculate what the probability would be to have B happen but not A. The equation for that is:

(1 - P(A)) × P(B)  

where P(A)=.8 and P(B)=.2

plugging in all things it would be

(1-.8)*.2

which equals .04 or 4%

Which expression can be used to find the volume of this box 3ft 7ft 5ft? A: 35 + 3 B: 35 x 3 C: (7 + 5) x 3 D :7 + 5 + 3 E: 35 + 35 +35

Answers

Answer:

(35 * 3)

Step-by-step explanation:

Given the box with dimension : 3ft * 7ft * 5ft

The volume of the box is :

Length * width * height

(3feets * 7 feets * 5 feets) = 3 * 7 * 5 = 105 feet³

From the options given, the expression which could be used to correctly find the volume would be :

(7 * 5) * 3 = 35 * 3 = 105 ft³

I just need help on confirming my answers please.

Answers

Both A. and D. are increasing.

Answer:

A and D would be the correct answers

Step-by-step explanation:

can someone please help I don’t get this

Answers

Answer:

mABC = 110

Step-by-step explanation:

help please thank you!

Answers

Answer:

yes

Step-by-step explanation:

good

Rachel types 50 words per minute. She needs to type a 1,500 word report. Determine how many minutes it will take her to type the report from the solution set

Answers

Answer:

30 min

Step-by-step explanation:

1500/50=30

Answer:

30 minutes

Step-by-step explanation:

1500 words/50 words per minute = 30 minutes

pls dont put links or I'll report ty​

Answers

x < 9

_

Step-by-step explanation:

I am not sure if this is correct. but i think the answer is x with closed circle so that will mean underlined.

Describe the translation between the blue pre-image and the Maroon image.
(Multiple Choice In image)

Answers

Step-by-step explanation:

D.. all points on blue are translated 7 units downwards

? Pls help!!!!!!!!!!!!

Answers

Answer

Ex
Break it apart
Shape one
10x8=80
Shape two
2x6=12
Shame three
6x5=30
Add all up is 122 square yards
I am not sure if this is the real answer but I hope this is

Please help me with this I will give brainlest to the best answer

Answers

Answer:

x=4

Step-by-step explanation:

To find x, start with the equation

(7x-5)=33 because you need the two angles to equal each other

7x=28 next subtract 5 from 33 following the rules of PEMDAS

x=4 now you will end up with x=4, after dividing 28 by 4.

Jan notes that 6 out of every 18 cars that pass her on the
highway are red. Which of the following is the best prediction of
how many red cars will pass Jan out of the next 54 cars that go
by?

A) 6
B) 18
C) 48
D) 54

Answers

Answer:

B) 18

Step-by-step explanation:

6 out of 18 is 6/18 = 1/3

1/3 x 54 = 18

SOMEONE HELPPPPPPPP PLEASE?!!?!!!??!!?

Answers

Answer:

(10, 5)

Step-by-step explanation:

The circle is located at (10, 5)

What is the solution to 4|0.5x – 2.5| = 0?

x = 1.25
x = 5
x = –1.25 or x = 1.25
x = –5 or x = 5

Answers

Answer:

B. X=5

Step-by-step explanation:

To solve this problem, first, you have to isolate the value of x from one side of the equation.

[tex]\sf{4|0.5x-2.5|=0}[/tex]

First, divide by 4 from both sides of an equation.

[tex]\sf{\dfrac{4|0.5x-2.5|}{4}}=\dfrac{0}{4}[/tex]

Solve.

|0.5x-2.5|=0

0.5x-2.5=0

x=5

Therefore the correct answer is x=5.

Answer:x=5 nice day

Step-by-step explanation:I now did this

I will give brainlist if someone awnsers this correctly.. thank u have a good day!​

Answers

Answer:

Step-by-step explanation:

3. The sale price is $37.50 and the discount is $12.50 off.

You can get this by doing 25/100 = x/50 and solving the equation to find the discount and then use the discount and subtract it from the total

4. The Forever 21 dress is less because if you use the equation that we used for question 3 you can find the discount of both and then use the discount and subtract from the total.

Hope that helps!

Nobody has answered my question, please help me in this one the most!!

Answers

Answer:

the answer is D (the last answer)

Step-by-step explanation:

organism a is a plantae because its autotrophic

organism b is fungi cause its hetrotrophic

Answer:

I think D is correct

Step-by-step explanation:

Because the features of organism A belongs to kingdom Plantae And the features of organism B belongs to kingdom Fungi

At the school carnival, 50 sixth-grade, 30 seventh-grade, and 40 eighth-grade students bought tickets for the raffle. At the end of the night, Quincy draws out two names without replacement. What is the probability that she draws two-seventh-grade students? Please explain?

Answers

Answer:

1/60

Step-by-step explanation:

50+30+40=120 (take all the students and add them together.)

2/120 (you only want 2 seventh graders)

simplified is 1/60

The probability that Quincy draws two-seventh-grade students is  0.061, or 6.1%.

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

There are a total of 50 + 30 + 40 = 120 students who bought tickets for the raffle.

Quincy draws two names without replacement, which means that the total number of possible outcomes is given by the combination formula.

Total number of outcomes = C(120, 2) = 7,140

Now, we need to find the number of outcomes in which Quincy draws two-seventh-grade students.

Let us calculate the number of ways in which Quincy can choose 2 students from the 30 seventh-grade students

Number of ways to choose 2 seventh-grade students = C(30, 2) = 435

Therefore, the probability of Quincy drawing two-seventh-grade students is:

Probability = Number of desired outcomes / Total number of outcomes

Probability = C(30, 2) / C(120, 2)

Probability = 435 / 7,140

Probability ≈ 0.061

Hence,  the probability that Quincy draws two-seventh-grade students is  0.061, or 6.1%.

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ2

Whats 50x^3 - 23x +9
anegays this for my friends

Answers

Answer: there are no like terms

I'm not sure if you have the wrong equation but there are no like terms

pls answer fast❗️❗️❗️

Answers

Answer:

84

Step-by-step explanation:

do you want the solution?

if the sum of roots of the quadratic equation x^(2)-3kx-(k+2)=0 is equal to the product of roots,find k

Answers

Answer:

1/2

Step-by-step explanation:

quadratic equation is ax²+bx+c=0

Products of roots is c/a

Sum of roots is -b/a

On comparing the above equation with general equation we have

a=1

b=-(3k)

c=-(k+2)

Now it is given that sum of roots and product of roots is equal

So,

-b/a=c/a

-b=c

-[-(3k)]=-(k+2)

3k=-k-2

3k+k=-2

4k=-2

k=-1/2

What’s the answer to this?!!!!!

Answers

Answer:

a = 6.7

Step-by-step explanation:

a² + b² = c²

a² + 6² = 9²

a² + 36 = 81

a² = 45

[tex]\sqrt{a^2} =\sqrt{45}[/tex]

a = 6.7

Question 1: Are the following two monomials multiplied correctly?
Yes or no

Answers

The answer is yes. I think that I’m right

What is the measure of each interior angle of the regular polygon pictured below? If necessary, round to the nearest tenth.

Answers

Answer:

144

Step-by-step explanation:

Sum of interior angles:

180(n-2)

180(10-2)  

1440

Measure of each interior angle:

1440/10=144

Hey guys I really need help can somebody help me please I’m struggling

Answers

Answer:

C

Step-by-step explanation:

IQR means interquartile range.

first, lets organize the numbers in ascending form.

21, 23, 25, 29, 30, 31, 33, 34

the median, or the middle number is between 29 and 30.

we need to use the method Q3-Q1

find the median of the two halves.

Q3 is 32 (between 31 and 33) and Q2 is 24 (between 23 and 25)

32 - 24 = 8

the answer is 8

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