Mathematics High School

show work by factoring completely

30x^3 + 22x^2 + 4x​

Answers

Answer 1

Given:

The expression is

[tex]30x^3+22x^2+4[/tex]

To find:

Factorized form of given expression.

Solution:

We have,

[tex]30x^3+22x^2+4[/tex]

[tex]=2x(15x^2+11x+2)[/tex]

Splitting the middle term, we get

[tex]=2x(15x^2+6x+5x+2)[/tex]

[tex]=2x(3x(5x+2)+1(5x+2))[/tex]

[tex]=2x(3x+1)(5x+2)[/tex]

Therefore, the complete factorized form of given expression is [tex]2x(3x+1)(5x+2)[/tex].

Related Questions

Estimate by rounding to the nearest ten.​ Then, find the sum.441+345=?

Answers

441 to the nearest ten is 440
345 to the nearest ten is 350

The sum is;

440 + 350 = 790

PLSS HELP ME!! ASAP!! I WILL GIVE YOU BRAINLYEST!!
What is the best estimate of the area of the figure in square inches?

Answers

Answer = 86.135 squared.

To find the area of this figure the best action would to divide it into three different sections, finding the area of each and then adding them all together.

First, find the area of the square in the center, which would be 60in.

Second, find the area of the half circle. You would use the formula for area of a circle. You would divide this answer by 2 since this is only half of a circle. You would get 14.135in.

Last, you would find the area of the triangle. You would multiply both sides and then divide by 2, since it’s a triangle and not a square. Area for this is 12in.

And then you would add all these together.

Answer:

86.1372 -------> 86.1 (Nearest Tenths)

86.1372 -------> 86.14 (Nearest Hundreths)

86.1372 --------> 86.137 (Nearest Thousandths)

Step-by-step explanation:

Semicircle: 3.14*[tex]3^{2}[/tex]/2 = 14.1372

Triangle: 4*6 = 24/2 = 12

Rectangle: 10*6 = 60

14.1372 + 12 + 60 = 86.1372

86.1372 -------> 86.1 (Nearest Tenths)

86.1372 -------> 86.14 (Nearest Hundreths)

86.1372 --------> 86.137 (Nearest Thousandths)

Arlene's register shows a deposit of 10/4 in the amount of $412.45, an ATM withdrawal on 10/5 in the amount of $80.00, and check #393 on 10/9 in the amount of $348.47. What should the balance be in Arlene's register? Use this bank statement.
A: $571.89
B: $588.49
C: $722.96
D: $726.03

Answers

Answer:

B.

Step-by-step explanation:

Answer: B. $588.49

Step-by-step explanation:

Arlene's ending balance on 10/3 is $604.51

On 10/4 she makes a deposit (+) of $412.45

On 10/5 she makes an ATM withdrawal (-) of $80.00

And on 10/9 a check (-) of $348.47

$604.51+ $412.45- $80.00- $348.47= $588.49

A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5
points. If x is the number of 3-point questions and y is the number of 5-point guestions, the system shown
represents this situation
x+y= 24
3x + 5y = 100
What does the solution of this system indicate about the questions on the test?
The test contains 4 three-point questions and 20 five-point questions.
The test contains 10 three-point questions and 14 five-point questions.
The test contains 14 three-point questions and 10 five-point questions
The test contains 20 three-point questions and 8 five-point questions.

Answers

Answer:

10 three point questions, 14 five point questions

Step-by-step explanation:

trial and error

Which number is a reasonable estimate for 21x94?

Answers

Answer:

Step-by-step explanation:

A construction company purchased equipment costing $14,000. The value of the equipment depreciates at a rate of 10% per year.
A. Exponential Growth
B. Exponential Decay
C. This is a Linear situation.

Answers

I think it’s A hope it’s right
No, it depreciates so it is exponential decay

Helppppp mee
A.30 square units
B.40 square units
C.150 square units
D.160 square units

Answers

Answer:d

Step-by-step explanation:

just

Find the value of x and y
I don’t know how

Answers

Answer:

x = 2√30, y = 2√21

Step-by-step explanation:

You can create the following equations:

(1) from the left triangle with sides x, y and 6:

y² + 6² = x²

(2) from the right triangle with sides y, 14 and... lets call it z:

y² + 14² = z²

(3) from the big triangle:

x² + z² = 20²

(4) Combine (2) and (3) to eliminate z:

x² + y² + 14² = 20²

combine (1) and (4) to eliminate x:

y² + 6² + y² + 14² = 20²

simplify

2y² = 20² - 6² - 14² = 168

y² = 84

y = √84 = 2√21

x² = y² + 6² = 84 + 36 = 120

x = √120 = 2√30

Patrick drives from P to Q at an average speed of 40 mph . His drive back from Q to P is at an average speed of 45 mph and takes two minutes less.

How far, in miles, is it from P to Q?

Answers

Answer:

12

Step-by-step explanation:

n: (2x4 + 6x² + 5x° - 45)(x + 3)

Answers

Answer:

54565

Step-by-step explanation:

234

please help! hurry, will mark brainliest

Answers

Answer:

123, angles are supplementary

Step-by-step explanation:

m<6 = 57

m<1 = 57 ## Corresponding angles

m<1 + m<2 = 180 ## Same side

180 - 57 = 123

Two standard number cubes are tossed.
What is the probability of getting a 5 on
the first number cube and an even
number on the other?
​

Answers

Answer:

Step-by-step explanation:

favorable outcomes are 52,54,56

number of favorable outcomes=3

Total=36

P=3/36=1/12

I support the person above me and agree

What is m A.51
B.129
C.134
D.141

Answers

Answer:D 141 because  

The value of the internal angle m from the heptagon is given by the equation m = 141°.

What is the sum of a polygon's internal angles?

The formula returns the sum of the internal angles of a polygon.

The sum of the internal angles of an n-sided polygon is n = 180° (n - 2), where n is the number of sides = angle in degrees

Given the data,

Let's call the polygon a heptagon.

The polygon has n sides, which equals 7 sides.

Now, n = 180 is the sum of the interior angles of a polygon with n sides ( n - 2 )

7θ = 180 ( 7 - 2 ) 

7θ = 180 ( 5 ) 

When we simplify the equation, we obtain 7 = 900°.

A = 900° denotes the sum of the internal angles of the polygon.

And , the value of A = 120° + m° + 148° + 90° + 142° + 130° + 129°

900° = m + 759°

Subtracting 759° on both sides of the equation , we get

m = 141°

Hence , the interior angle ∠B = 141°

To understand more about the sum of a polygon's inner angles, click :

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Geometry- which statement is true

Answers

Answer:

its the 3rd one ab and cd

Which expression is equivalent to 3k + 5l + 6l + 2k?

A) 8k + 8l

B) 5k + 11l

C) 5k

D) 16

Answers

Answer:

B)5k + 11l

Step-by-step explanation:

3k + 5l + 6l + 2k collect like terms

3k + 2k + 5l + 6l

5k + 11l

hope it's helpful ❤❤❤❤

THANK YOU.

The expression is equivalent to the given expression is 5k+11l. Therefore, option B is the correct answer.

What is an equivalent expression?

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

The given expression is 3k+5l+6l+2k.

Group like terms and simplify, we get

(3k+2k)+(5l+6l)

= 5k+11l

The expression is equivalent to the given expression is 5k+11l. Therefore, option B is the correct answer.

To learn more about an equivalent expression visit:

https://brainly.com/question/28170201.

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please math question lol asap

Answers

Answer:

A mathematical problem is a problem that is amenable to being represented, analyzed, and possibly solved, with the methods of mathematics. This can be a real-world problem, such as computing the orbits of the planets in the solar system, or a problem of a more abstract nature, such as Hilbert's problems

Step-by-step explanation:

what is 1.20 simplified? ill give brainlyest to who ever answers it first and if it is correct

Answers

Answer:

6/5

Step-by-step explanation:

Elaine opened a savings account with a deposit of $1000. The interest on her account is compounded each year at a rate of 2%. Elaine will not make any additional deposits to or withdrawals from her account. What will be the balance in Elaine's account at the end of 3 years? Round your answer to the nearest whole dollar.

Answers

Answer:

$1,061.21

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Present value (PV) = $1,000

Rate of interest compounded yearly (r) = 2%

Time period (n) = 3

So, we can calculate the future value (FV) by using following formula,

Future Value = PV(1 + r)^n

By putting the value, we get

FV = $1,000 ( 1 + 0.02)^3

= $1,000 ( 1.02)^3

= $1,000 ( 1.061208)

= $1,061.21

Is 4 1/2 an integer?
True or False

Answers

The answer is false

Answer:

False

Step-by-step explanation:

because it has 1/2 which isnt a whole number hope this helps uwu

14. Divided by 137.2

Answers

Answer:

0.10204081

Step-by-step explanation:

Answer:u want me 2 divide 14 from 137.2?

Step-by-step explanation:

If so the answer is 9.8

If not tell me the question in the comment section

is x2 + y2 = 36 a function

Answers

Answer:

No, it is not a function.

PLZ WILL GIVE BRAINLIEST

translate to algebraic expression
tom had d dollar bills, q quarters, and p penies, in his pocket. How much money(in cents) does he have?

Answers

Sorry this answer has nothing. I wrote an answer but then realized that it's wrong.

Answer:

100d+25q+p

Step-by-step explanation:

Because 1d = 100 cents, 1q = 25 cents, and a penny = 1 cent.

On a highway, a random sample is taken of the speed, in mph, of 50 cars. A mean speed of 61.8 mph is calculated with a margin of error of +2.3 for a 95% confidence interval What is the interval estimate of the population mean?
A) 58.7 <h<64.9
B)59.5<h<61.8
C)59.5<h<64.1
D)61.8<h<64.1


​

Answers

I am extremely bad at math and I am trying to help other to ask a question, but I personally think C

The interval estimate of the population mean when a random sample is taken of the speed on highway is 59.5<h<64.1. Option C is correct.

What is margin of error?

The probability or the chances of error while choosing or calculating a sample in a survey is called the margin of error.

The interval estimate of the population mean can be found out using the following formula:

[tex]\overline X\pm MOE[/tex]

Here, [tex]\overline X[/tex] is the average mean, and the MOE is the margin of error.

On a highway, a random sample is taken of the speed, in mph, of 50 cars.

A mean speed is 61.8 mphThe margin of error is +2.3 The confidence interval is 95%

Put the values in the above formula as,

[tex]61.8\pm 2.3\\59.5,641[/tex]

Thus, the interval estimate of the population mean

[tex]59.5 < h < 61.8[/tex]

Hence, the interval estimate of the population mean when a random sample is taken of the speed on highway is 59.5<h<64.1. Option C is correct.

Learn more about the margin of error here;

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Find the value of x.
64
100
XE

Answers

Answer:

i think the answer should be 16

*starts crying from happiness*❤️❤️❤️❤️❤️❤️❤️❤️❤️

Answers

Step-by-step explanation:

Is 6/2 simplified ? ............

Answers

Answer:

No, 3

Step-by-step explanation:

6/2

How many times can 3 go into 6?

Answer is 3 times because 2 x 3 is 6.

Answer:

3/1

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 6 and 2 is 2

Divide both the numerator and denominator by the GCD

6 ÷ 2 /2 ÷ 2

Reduced fraction:  

3/ 1

Therefore, 6/2 simplified to lowest terms is 3/1.

select all that apply

which of the following represent the rule y=x+2?​

Answers

Answer:

The first one and the second one.

Step-by-step explanation:

Answer:

It's the first two answers. The first one and the second one.

Step-by-step explanation:

I know it the answer. Trust me

pls help:((((

The perimeter of a rectangle is 48 inches. The rectangle is twice as long as it is wide. What is the length of the rectangle?
Α: 8 inches
B: 16 inches
C: 32 inches
D: 24 inches

Answers

Answer: B

Step-by-step explanation:

l = 2

2 ( l + w ) = 48 , or , l + w = 24

w = 8 , & , so , l = 2 w = 16  inches.

What is the answer to this question?​

Answers

Answer:

Step-by-step explanation:

X=-6

Step-by-step explanation:

x= -6

......................

3 + (5 + 4) = 3+ (4 + 5) illustrates which property?​

Answers

Answer:

Distributive

Step-by-step explanation:

Answer:3(4+5)= 3(4)+3(5)

Step-by-step explanation:

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