What is the factorization of the trinomial below?
3x2 - 21x + 30
O A. 3(x-6)(x - 5)
O B. 3(x-2)(x - 5)
O C. 3x(x-2)(x-5)
O D. 3x(x-6)(x - 5)

Answers

Answer 1

B if not C, with the exponent of the coefficient

Answer 2

The factorization of the trinomial is A = 3 ( x - 2 ) ( x - 5 )

What is Factorizing?

Brackets should be expanded in the following ways to factorize an expression

For an expression of the form A = a ( b + c ) , the expanded version is given by A = ab + ac, i.e., multiply the term outside the bracket by everything inside the bracket

For an expression of the form A = ( a + b ) ( c + d ) , the expanded version is given by A = ac + ad + bc + bd, in other words everything in the first bracket should be multiplied by everything in the second.

Given data ,

Let the expression be represented as A

Now , the value of A is

A = 3x² - 21x + 30   be equation (1)

On simplifying , we get

Taking 3 as the common factor of the expression , we get

A = 3 ( x² - 7x + 10 )

A = 3 ( x² - 2x - 5x + 10 )

On factorizing , we get

A = 3 ( x - 2 ) ( x - 5 )

Hence , the expression is A = 3 ( x - 2 ) ( x - 5 )

To learn more about factorizing click :

https://brainly.com/question/804076

#SPJ7


Related Questions

What is the value of the expression n(8n/10) when n =
5?

Answers

Answer:

(8n/10)

8 × 5 = 40

40 ÷ 10 = 4

Amelia has $25 to spend on makeup this week she loves lipstick each lipstick tube cost $4 what is the maximum number of lipsticks that she can purchase

one step inequality word problems ​

Answers

Answer:

ok so x is how many she can buy so

4x≤25

x=6.26

so she can buy 6

Hope This Helps!!!

Solve for x in the triangle.

Answers

Answer:

A. 1.7

Step-by-step explanation:

x = 1.74303

If rounded, 1.7

Answer: 100% correct

1. A. 1.7

2. D. 64.4

3. A= 140, E= 24, and F= 16

4. 106 mi

Step-by-step explanation:

10
Find the area of the semicircle.
Either enter an exact answer terms of ar or use 3.14 for at and enter your answer as a decimal.
units2

Answers

Answer:   39.25

========================================

Work Shown:

d = diameter = 10

r = radius = d/2 = 10/2 = 5

A = area of a full circle

A = pi*r^2 = 3.14*5^2 = 78.5

Cut this in half to get the area of a semicircle (aka half circle)

(78.5)/2 = 39.25

This result is approximate.

I need this answered ASAP. A baseball hit by
a player in the major leagues
can leave the bat at a speed
of 110 miles per hour.
Suppose a batter hits a ball
at that speed directly back
to the pitcher’s mound,
about 61 feet from home
plate. To the nearest tenth of
a second, how long does it
take the ball to reach the mound?

Answers

it’s takes the ball 2.639 seconds to reach the mound

Consider the polynomial p(x) = 16x4 - 81y4. Which of the following are equivalent expressions?
Select all that apply.

Answers

Answer:

Second expression and Last expression

Step-by-step explanation:

Second expression and Last expression

1. [tex](4x^2-9y^2)(4x^2-9y^2)[/tex]

[tex]4x^2(4x^2-9y^2)-9y^2(4x^2-9y^2)[/tex]

[tex]16x^4 -36x^2y^2 -36x^2y^2+81y^4[/tex]

[tex]16x^4 -72x^2y^2+81y^4[/tex]

2. [tex](4x^2-9y^2)(4x^2+9y^2)[/tex]

[tex]4x^2(4x^2+9y^2)-9y^2(4x^2+9y^2)[/tex]

[tex]16x^4+36x^2y^2-36x^2y^2-81y^4[/tex]

[tex]16x^4-36y^4[/tex]

3. [tex](4x^2+9y^2)(2x-3y)(2x-3y)[/tex]

[tex](4x^2+9y^2)(4x^2-6xy-6xy+9y^2)[/tex]

[tex](4x^2+9y^2)(4x^2-12xy+9y^2)[/tex]

[tex]16x^4-48x^3y+36x^2y^2+36x^2y^2-108xy^3+81y^4[/tex]

[tex]16x^4 -48x^3y+72x^2y^2-108y^3+81y^4[/tex]

4. [tex](4x^2+9y^2)(2x+3y)(2x+3y)[/tex]

[tex](4x^2+9y^2)(4x^2+6xy+6xy+9y^2)[/tex]

[tex](4x^2+9y^2)(4x^2+12xy+9y^2)[/tex]

[tex]16x^4+48x^3y+36x^2y^2+36x^2y^2+108xy^3+81y^4[/tex]

[tex]16x^4+48x^3y+72x^2^2+108xy^3+81y^4[/tex]

5. [tex](4x^2+9y^2)(2x+3y)(2x-3y)[/tex]

[tex](4x^2+9y^2)(4x^2-6xy+6xy-9y^2)[/tex]

[tex](4x^2+9y^2)(4x^2-9y^2)[/tex]

[tex]16x^4-36x^2y^2+36x^2y^2-81y^4[/tex]

[tex]16x^4-81y^4[/tex]

Hope this helps!

What is 3/4 divided by 7/8?

Answers

Answer:

0.85714285714

Answer:

6/7

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

Hope this helps! Have a great day!!

What is the measure of angle PBQ

Answers

Answer:

m∠PBQ=51

Step-by-step explanation:

By vertical angles theorem, ∠PBQ ≅ ∠LBM, so m∠PBQ=m∠LBM.

And since ∠LBM & ∠LBQ are supplementary, we'll write,

m∠LBM+LBQ=180°

3x+(4x+61)=180°

Let's solve for x:

7x=119

7x/7=119/7

x=17

So...

m∠LBM=3(17)

m∠LBM=51

This means that m∠PBQ=51

Hope this helps! :)

The measure of pbq is 51

​Write the standard form of the line that contains a slope of 12 and y-intercept of 3. Include your work in your final answer.

Answers

Answer:

y = 12x+3

Step-by-step explanation:

y = mx+c

m is the gradient/slope

c is the y intercept

so m is 12 and c is 3

list the next four multiples of the unit fraction 1/2

Answers

Answer:

1, 3/2, 2, 5/2

Step-by-step explanation:

1/2 x 2 = 1

1/2 x 3 = 3/2

1/2 x 4 = 2

1/2 x 5 = 5/2

Answer:  2/4, 4/8, 8/16, 16/36

Step-by-step explanation:  hope i help and brainlies pls

Brainliest if correct

Answers

Answer:

x = 19.

Step-by-step explanation:

We have to simplify this equation.

Like this:

2 * x + 8 = 46.

The closest number to x is 19:

2 * 19 + 8 = 46

Solve:

2 * 19 + 8 = 46= 38 + 8 = 46= 46.

x = 19.

Find the area of quadrilateral ABCD.
A. 20.2 units²
B. 20.4 units²
C. 37.66 units²
D. 46.66 units²

Answers

D. 46.66 units is the answer

Find the value of x and y in parallelogram ABCD.

A) x = 13, y = 7
B) x = 15, y = 6
C) x = 1, y = 1
D) x = 6, y = 8
E) None of the answers are correct​

Answers

Step-by-step explanation:

х-7=6 , х=13

2у-6=8 у= 7

А)

F(x)=2x+6, g(x)=4x^2+1; find (g • f)(1)

Answers

Answer:

257

Step-by-step explanation:

[tex]g\cdot{f}=4(2x+6)^2+1\\(g\cdot{f})(1)=4(2*1+6)^2+1=4\times64+1=257[/tex]

can I have help pls

Answers

Your answer is correct

2: A train leaves Cardiff at 10:45am. It takes 39 minutes to reach Bristol. What time did the train reach Bristol?​

Answers

Answer:

11:24am

Step-by-step explanation:

10:45 to the nearest hour is 11am

It takes 15mins to reach the hour. (39-15=24)

Add the remaining 24minutes to the hour and you have your answer.

11:24am

tell whether the sequence is arithmetic if it is what is the common difference?
19, 12, 5, -2

no

yes; 1/7

yes;7

yes;-7

Answers

Answer:

  (d)  yes; -7

Step-by-step explanation:

The differences between terms are ...

  12 -19 = -7

  5 -12 = -7

  -2 -5 = -7

These are all the same, so this difference is "common". A sequence in which terms have a common difference is an arithmetic sequence.

This sequence is arithmetic, with a common difference of -7.

Find the dimensions of a rectangle
having a perimeter of 38 meters
and an area of 84 square meters.
What is the length of the shorter side?

Answers

The length of the shorter side is 7 longer side is 12 7+7+12+12 is 38 and 7x12 is 84

let’s decide whether the following points are on the line 2x=y - 7


(-8.6, -10.2)

Answers

Answer:

14.997

Step-by-step explanation:

yea yeaaa i knowwww

Need help!!!
Select the correct answer.

Which table represents a quadratic relationship?

Answers

your answer is C.
stay safe!

The table which  represents a quadratic relationship is in option [tex]D[/tex].

What is quadratic relationship ?

A quadratic relationship is a mathematical relation between two variables that follows the form of a quadratic equation.

Quadratic sequence [tex]=an^2 +bn+c[/tex]

So, According to the definition mentioned above if table follows the  form of a quadratic equation then it is in quadratic relationship.

So,

To find out quadratic relationship,

We will find first difference in every table and then second difference (Second difference is the difference between the first difference).

We have,

Table A;

[tex]\left \begin{array}{ccccc}x& \ &f(x)&First\ Difference & Second\ Difference \\-2& &4&2-4=-2\\-1& &2&1-2=-1&-1+2=1\\0& \ &1&0.5-1=-0.5&-0.5+1=0.5\\1& &0.5&0.25-0.5=-0.25&-0.25+0.5=0.25\\2& &0.25&0.125-0.25=-0.125\\3& &0.125\end{array}\right[/tex]

So, In the above table we can see that second difference  is not equal that means it is not in quadratic relationship.

Now,

Let Table D;

[tex]\left \begin{array}{ccccc}x& \ &f(x)&First\ Difference & Second\ Difference \\-2& &-23.4&\\-1& &-23.2&-23.2+23.4=-0.2&0.2-0.2=0\\0& \ &-23&-23+23.2=-0.2&0.2-0.2=0\\1& &-22.8&-22.8+23=-0.2&0.2-0.2=0\\2& &-22.6&-22.6+22.8=-0.2\\3& &-22.4&-22.4+22.6=-0.2\end{array}\right[/tex]

So, here in this table, we can see that second difference  is equal that means it is in quadratic relationship.

Hence, we can say that the table which  represents a quadratic relationship is in option [tex]D[/tex].

To know more about quadratic relationship click here

https://brainly.com/question/17109031

#SPJ3


When a number is decreased by 40% of itself, the result is 90. What is the number?

Answers


• Let the number be 'x'.



• Then, 40% of x -

= 40/100 × x

= 2/5 × x

= 2x/5


• Now, decreased number -

= x - 2x/5

= (5x - 2x)/5

= 3x/5



• But, according to the question, decreased number = 90

=> 3x/5 = 90

=> x = 90 × 5/3

=> x = 450/3

=> x = 150

• Hence, the number is 150



• Now, if 150 is increased by 40% -

= 150 + 40% of 150

= 150 + 40/100 × 150

= 150 + 4 × 15

= 150 + 60

= 210
Hello There, today we will solve your problem

__________________

Definitions

Percentage - In mathematics, a percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%"

Solve

we can substitute 40% for 0.4x and make an equation

[tex]x-0.4=90[/tex]

simplify

[tex]0.6x=90[/tex]

divide both sides by 0.6

[tex]x=150[/tex]

If each of the numbers in the following data set were multiplied by 18, what
would be the new median of the data set?
14, 20, 18, 58, 71, 36, 28

what would be the new median of the data set ?

Answers

The answer is 28 or 504. My explanation....

ALRIGHT! So, it took me a little while to do it all.... since I wasn't really sure if it was already multiplied by 18 or not.

So the normal numbers in order from least to greatest,(because that's easier)

14, 18, 20, 28, 36, 58, 71.

The new numbers I multiplied by 18 are...

252, 324, 360, 504, 648, 1044, 1268.

When I put it like that you can clearly see the new median. 28 and 504!

Suppose that y varies directly with x, and y=6 when x= 15.

(a) Write a direct variation equation that relates x and y
Equation: ?

1 (b) Find y when x = 20
y = ?​

Answers

y = x - 9

y = 1 when x = 10

y = 11
x=20 y=9
(20,9)
15-6=9
9=3/5(20)
9=12
-12/-12
12-9=3

what is 4,357.25 rounded to the second decimal

Answers

what is 4,357.25 rounded to the second decimal

A:4,400

4. Find the length of the hypotenuse of a triangle with the coordinates (1, —2), (1, 7), and (13, —2)
help pls brainliest gib

Answers

Answer:

answer attached

Step-by-step explanation:

answer attached

hope this helps!

Pls help rn i need help quickly

Answers

Answer:

800 mm^2

Step-by-step explanation:

(25+7)*(23+8) - 8*10 - 7*5 - 7*11

= 800 mm^2

HELP ME FIND MIDPOINT

Answers

Answer: (-1/2, 0) which is the same as saying (-0.5, 0)

================================================

Explanation:

The x coordinates of A and B are -2 and 1 respectively.

Add up those values to get -2+1 = -1

Then cut that result in half: -1/2 = -0.5

This is the x coordinate of the midpoint.

--------

Repeat for the y coordinates:

Add: 1 + (-1) = 0

Cut in half: 0/2 = 0

The y coordinate of the midpoint is 0

-------

Overall, the midpoint is located at (-1/2, 0) which is the same as writing (-0.5, 0). This is where the segment AB crosses the x axis.

Find the area of the regular 18-gon with radius 11 mm

Answers

Answer:

36

Step-by-step explanation:

HELP PLEASE, IF YOU GET IT RIGHT YOU WILL RECEIVE BRAINIEST !!!!

Answers

Answer:

ok it is very hardest app


Determine which point is the solution to the given system.

y= -7/2 x + 32
y= 4/5 x -11

A. (10,-3)
B. (8,4)
C. (15, 1)
D. (12,-10)

Answers

Answer:

WHAT UP

Step-by-step explanation:

DO THIS AND THAT LOL

Other Questions
Which of the following is the product of the rational expressions shownbelow?X-3/X +5 x 3x/ x-5 what are the significant matters that recognize Nepal? The perimeter of a triangle is 23 cm. All the side lengths are integers. If one side measures 5 cm, what is the length of the largest possible side? (A) 9 cm (B) 11 cm (C) 12 cm (D) 15 cm can a woman lactate without being pregnant ? Sharon is the chief marketing officer for a well-known bank. After looking at thecompany's sales data, she recognizes that most of the accounts were held by clientswho lived in the neighboring city. She decides she will boost advertisements in theneighboring city to increase their number of bank accounts. What did Sharondetermine by looking at her company's sales data?- Revenue- Target market- Pricing- Value proposition Bartholomew is making a scale model of a cruise ship based on a scale of 1 cm = 9 yd. If the model of the ship is 27 cm long, what is the length of the actual cruise ship? A. 243 yd B. 270 yd C. 36 yd D. 18 yd Suppose that two distantly related species live in similar environments and share a distinctive characteristic that facilitates survival in their environment but is not found in their immediate ancestors. Based on this information, this distinctive feature most likely represents a character that spread from:______.a. one species to the other by gene flow. b. an analogous character. c. a homologous character. d. a character that arose by genetic drift. The Federalist party used the XYZ Affair to A. try to impeach John Adams. B. build support for expanding the national army. C. create a national agreement on new immigration laws. D. start a war with France. solve this system y = 6x4x + y = 7 Joni bought 35 books at a price of Rp. 122,500. Toni bought the same 24 books as that Joni bought. How much did Toni pay for the book? Which of the following is a factor if 4x^2 - 4x - 3?A. x + 1B. 2x+3C. 2x-3D. 2x - 1E. 4x +1 which is the best description of the characteristics of the asthenosphere?A. Solid, but flowing like puttyB. Liquid, but denseC. Solid metal that is hotD. Brittle metal that is shifting What is the length of the longer leg of the right triangle shown below?Type your answer as an integer.A right triangle has hypotenuse of length 13 and a side with length 5. I NEED HELP EVERYONE!!!!Why We Need a Recreational Center With the onslaught of crimes committed by minors in our neighborhood, we desperately need a recreational center. When I was growing up, the rec. center was my favorite place to go. Saturday night bashes with food and live DJs. Ping-pong and billiard tournaments. Study sessions with friends after school. Movie and game nights. Thats what I did for fun, all in a safe and adult-monitored environment. My experience sharply contrasts with that of the youths Ive been observing. Every day after work, I drive through our neighborhood and see the same thing: teenagers loitering in front of yards, looking bored and up to no good. Five of my neighbors cars have been broken into in the past three months. Seven houses, including mine, have been toilet-papered and egged. And according to the police department, these numbers only increase during the summer. During the summer months of 2007 alone, there were 11 car burglaries and 13 criminal mischief and vandalism offenses in our neighborhood. Such statistics prove that we must provide something for these teenagers to do. A recreational center would offer these kids an economical and safe place to socialize and have funeven while studying. Upon the implementation of a community recreational center program in Winfield, Kansas, crimes committed by minors decreased by 70%. The same thing can happen here. I have heard some people complain that we can find better ways to spend our tax dollars. If you can find something that has more personal, social, community benefits, I would like to hear about them. In a nationwide study conducted at Pennsylvania State University, researchers compiled a list of the benefits perceived by the American public. According to the study, users of recreational centers benefited from exercise, entertainment, education, relaxation, interaction with community members, and affordability. And you dont even need to use the recreational center to experience its benefits. Researchers found that 71% of non-users said they received some benefit. One participant stated, Im grateful for the recreational center because it keeps kids off the streets. For the future of our neighborhood and our children, lets do what is necessary to clean up our youth. Lets give them a recreational center.Why could the author be perceived as biased against teenagers? A. The author's teenage children are often disobedient. B. The author saw some teenagers break into his or her car. C. The author does not have a nearby recreational center. D. The author's house has been toilet-papered and egged. For each of these equations, predict the effects of temperature on the spontaneity of the reaction.2N2O(g) 2N2(g) + O2(9)AH 0AHASAGSpontaneity++H20(1) H2O(9)AH> 0; AS >-+302(9) 203(9)AH >0; AS < 0++ or -nonspontaneous forall Tspontaneous for all Tspontaneous at highnonspontaneous atlow Tspontaneous at low Tnonspontaneous athigh TC(s) + 2Cl2(g) CCl4(9)AH What was the Truman Doctrine? Question 25 options: the program to promote a successful return to a domestic economy in the postwar era the U.S. policy of giving economic and military aid to countries to help them restrict the spread of communism the plan to fund and support economic recovery in any nation of Europe that requested such aid HELP SOS I NEED HELP Let's Try ThisSuggested Time Allotment: 25 minutesThink what kind of decision-maker you are. Do you decide based on yourfeelings? Or you take enough time to think about it first? Are you someone who asksopinions of others like your parents, siblings, friends, and trusted adults? Think of twoto three personal experiences that support your thought.After ten minutes, face the mirror and tell what kind of decision-maker you are.Tell why you should maintain or change your ways of deciding.After the activity, answer the following questions on a sheet of paper.Processing Questions:1. How do you feel about your answer? Why?2. Based on your answers in the activity, how do you make decisions?3. Why do you need to be aware on how you make decisions? Will it help you in yourfuture situations? The difference and the similarity between cardinal directions and compass rose 1,3,1,3,15,18,23,28,33 two numbers that are divisible by 4