Factorise 9a³ - 27a² - 100a + 300, if it is given that (3a + 10) is a factor of it.​

Answers

Answer 1

Answer:

(3a + 10)(3a - 10(a - 3).

Step-by-step explanation:

Do a long division:

3a + 10 ) 9a^3 - 27a^2 - 100a + 300 ( 3a^2 - 19a + 30 <----- Quotient

              9a^3 + 30a^2

                        -57a^2 - 100a

                        -57a^2 - 190a

                                       90a + 300

                                       90a + 300

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

Factorise the Quotient:

3a^2 - 19a + 30

= 3a^2 - 9a - 10a + 30

= 3a(a - 3) - 10(a - 3)

= (3a - 10)(a - 3)


Related Questions

if silas sandwich measures, 3 yards 2 feets 3 inches, How many inches in total does silas sandwich measure

Answers

Answer:  135  inches

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

Work Shown:

1 yard = 3 feet

3 yards = 9 feet (multiply both sides by 3)

3 yards + 2 feet = 9 feet + 2 feet = 11 feet

1 foot = 12 inches

11 feet = 132 inches (multiply both sides by 11)

11 feet + 3 inches = 132 inches + 3 inches = 135 inches

An education website has 434,206 daily unique visitors. An e-commerce website gets double the number of visitors. How many visitors does the e-commerce website get? Show Your Work

Answers

Answer:

868412

Step-by-step explanation:

434206x2=868412

You have to multiply 7 by 19. Which equation uses the Distributive Property to take this problem apan
A. 7(10 + 9) = 70 + 16
CB B. 7(10 + 9) = 70 + 9
c. 7(10 + 9) = 70 +63
D. 7(10 + 9) = 17 +63

Answers

C) 7(10 + 9) = 70 + 63
Hope this helps!

Write an equation in slope intercept form plz help

Answers

The slope-intercept form is [tex]y = mx + b[/tex]where m is the slope and b is the y-intercept.

The equation is already in slope-intercept form.

[tex]y = - x + 4[/tex]

Answer:

Step-by-step explanation:

Q8:

y= -x+4   (given)

Slope of given the line=-1

For required slope which is passing through (6,5):

Using Point slope form:

[tex]y-y_{1} = m(x-x_{1} )[/tex]

y-5=-1(x-6)    (m=-1 because lines are parallel)

y-5=-x+6

x+y-5-6=0

x+y-11=0

Q9:

y=-4x-7

slope of the given line:

m=-4

Slope of required line:

m=1/4

Using Point slope form:

[tex]y-y_{1} = m(x-x_{1} )[/tex]

y+1=1/4(x-8)

4y+4=x-8

x-4y-8-4=0

x-4y-12=0

A pair of dice is rolled. What is the probability that the sum is nine or that the first number is a two?

Answers

Answer:

I think is 1/9

Because they say the sum is 9 and what will be chance in landing in 2

4x+3y = 22 (slope intercept forma

Answers

Answer:

I am pretty sure it is y=22-4x/3

Step-by-step explanation:

4x+3y=22

(you need to put it in y=mx+b format)

-subtract 4x on both sides-

3y=22-4x

-divide by 3 on both sides-

y=22-4x/3

Not sure if this is correct, but I hope this helps!

Please helppp asappppp

Answers

Answer:x=10

Step-by-step explanation:

First add 90+80 which is 170. Then subtract 180-170 which is 10. If i'm correct, the answer should be 10

ASAPPPP HELPPPP PLEASEEEE

Answers

Answer:

27.6

Step-by-step explanation:

sin29=x/57

0.48480962=x/57

x≈27.6

PLZ SOMEONE HELP ME
NO LINKS PLz

Answers

Answer:

-11[tex]\leq[/tex]x[tex]\leq[/tex]8

Step-by-step explanation:

The two points are filled in circles at -11 and 8, meaning anything inbetween them is part of the domain.

what is the mean of the data set
14 19 18 12 22 15 16 14 14 21 20
A 15.75
B 16.00
C 16.75
D 19.50

Answers

I think it’s 16.75 between 16 and 18

Pls help will give brainly

Answers

Answer:

y = - 2x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 4, 4) and (x₂, y₂ ) = (2, - 8) ← 2 points on the line

m = [tex]\frac{-8-4}{2-(-4)}[/tex] = [tex]\frac{-12}{2+4}[/tex] = [tex]\frac{-12}{6}[/tex] = - 2

The line crosses the y- axis at (0, - 4 ) ⇒ c = - 4

y = - 2x - 4 ← equation of line

-1.3x=3.9

Solve for x

Answers

Answer:

x = -3

Step-by-step explanation:

The equation is : -1.3x=3.9

We can divide both sides by -1.3

-1.3x/-1.3=-3.9/-1.3

We get

x=-3

Answer:

x =-3

Step-by-step explanation:

divide -1.3 to both sides

If EF = 2x + 5 and FG = x + 9, what is EF?

Answers

Answer:

2- × 5

Step-by-step explanation:

In the figure shown, line AB is parallel to line CD.

Part A: What is the measure of angle x? Show your work. (5 points)

Part B: Explain how you found the measure of angle x by identifying the angle relationships that you used along the transversal. (5 points)

Answers

Answer:

Below.

Step-by-step explanation:

Part A.

m < RPB = 180 - 115 = 65 degrees.

So the m < x =  180 - 65 - 62

= 53 degrees.

Part B.

First line of Part A:

M < RPB + m < PRD = 180 degrees ( Internal angle between 2 parallel lines are equal).

Second line:

The 3 angles x, 62 and 65 degrees  are all on the same straight line (AB), so they sum to 180 degrees.

Can someone explain and answer this question please... I'm very unsure. please and thankyou

Answers

Answer:

Step-by-step explanation:

g(x) = 3x + 1; Find g(7)

Answers

Answer:

22

Step-by-step explanation:

g(x) = 3x + 1

g(7) = 3(7) + 1

= 21 + 1

= 22

hope this helps! :D

have a miraculous day!! <3

Please answer this question step by step!

No links please.

Whoever gives correct answer will get a thank you aswell.

Answers

Answer:

[tex]x = \frac{3}{2} [/tex]

Step-by-step explanation:

first distribute

[tex] \frac{36x - 9}{2x} = 15[/tex]

next multiply both sides by 2x

[tex]36x - 9 = 15(2x) \\ 36x - 9 = 30x[/tex]

simplify

[tex] - 9 = - 6x[/tex]

divide both sides by -6

[tex] \frac{ - 9}{ - 6} = x \\ \frac{3}{2} = x[/tex]

Question is on the pic!

Answers

Answer:

C

Step-by-step explanation:

C has 2 negative 2's on it, and 2 numbers on the x side cannot be the same.

Answer:

C

Step-by-step explanation:

If your x Collum has more than one of the same numbers so in this case -2 is there twice it's not a function

X       1        1             2                   3      4

________________________________________________________      

Y      0       3              4              2           6  

this would not be a function because the one is at two different heights.

if you think of every number as a person and the y axis as height. two different people can be the same height but one person cannot be two different heights at the same time. if it's on a graph use the vertical line test take a vertical edge of a paper and run it across the graph if the edge of paper goes through more than one point it's not a function

Tom’s weekly salary increased from $240 to $300. What was the percent change?

Answers

Answer: 25%

Step-by-step explanation:

Answer:

25% increase

Step-by-step explanation:

(25 points) Which statement describes the point (2, 6) ?

The point is on the x-axis.


The point has an x-coordinate of 2 and a y-coordinate of 6.


The point has an x-coordinate of 6 and a y-coordinate of 2.


I don't know.

Answers

The point has an x-coordinate of 2 and a y-coordinate of 6 thus, option (B) is correct.

What are coordinates?

A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y).

Coordinates are always written in the form of small brackets the first term will be x and the second term will be y.

The coordinate is written as (x,y)

Here, x is the horizontal distinctions and y is the vertical distinctions.

In (2,6) here 2 is the x-coordinate while 6 is the y-coordinate.

Hence "The point has an x-coordinate of 2 and a y-coordinate of 6".

For more about coordinates,

brainly.com/question/7869125

#SPJ2

5x+2y=6 3y=2x+9 how many solutions does this problem have? No solution, one solution, or infinite solutions

Answers

Answer:

One solution

Step-by-step explanation:

First, organize the equations by moving y to the left hand side:

5x + 2y = 6, subtract 5x from both sides and we get: 2y=6-5x

3y = 2x + 9 is already done

Next, set the coeficcient of both y values equal to the least common multiple of 2 and 3 which is 6:

2y=6-5x multiply both sides by 3, 6y = 18-15x

3y=2x+9 multiply both sides by 2, 6y = 4x+18

Substitute y on both sides and we get 18-15x=4x+18

Simplify that and you get 19x=0, x equals 0, so there is one solution

A diver dove from a board that was 6 3/4 feet above the water's surface, and descended until he was 8 1/3 feet below the water's surface. What was the total distance that the diver desceded?

Answers

Answer:

15 1/12 feet

Step-by-step explanation:

Well if he descended 8 1/3 feet below the water, that means he must've went from board to water which is 6 3/4 feet then down 8 1/3 feet

6 3/4 + 8 1/3

= 6 9/12 + 8 4/12

=15 1/12 feet

Help!!
Question in picture!!

Answers

Step-by-step explanation:

A. monomial

B. polonomial

hope it helps.

stay safe healthy and happy.

Answer:

A= monomial

B= trinomial

a and b are two similar solids. the volume of a is 400cm^3
work out the volume of b

Answers

Answer:

1350 cm³

Step-by-step explanation:

we have given that,

• Height of A = 10 cm.

1350

• Volume of A = 400cm³.

• Height of B = 15 cm.

• Both A and B solids are similar.

from above told concept we get,

→ V(A) / V(B) = (Height of A)³ / (Height of B)³

Putting all given values we get,

→400/ V(B) = (10)³/(15)³

→400/V(B) = (1000/3375)

→ V(B) = (400*3375) / 1000

→ V(B) = (4 * 3375) / 10

→ V(B) = 1350 cm³. (Ans.)

Hence, Volume of B will be 1350 cm³.

Isabel is going for a walk. She walks 6.4 miles in 4 hours. What is her speed?

Answers

Answer:

6.4 miles per hour

Step-by-step explanation:

Answer:

1.6m/h

Step-by-step explanation:

6.4/4=1.6m/h

aaaaaaaa


Write an equation of the line that passes through (4, -5) and is perpendicular to
the line y = 2x +3

Answers

Hello there!

We are given the equation of the line

y=2x+3

What's the equation of the line perpendicular to it?

Perpendicular lines have slopes that are opposite reciprocals. This means we take a number, make it negative, and flop it over.The slope of the line perpendicular to the given line is -1/2.Now that we have the slope of the line and a point that the line passes through, we can find the equation of the line.Write it in Point-Slope form:y-y1=m(x-x1)y-(-5)=-1/2(x-4)y+5=-1/2(x-4)y+5=-1/2x+2y=-1/2x+2-5y=-1/2x-3

Therefore, this is the equation. Hope it helps. Good luck.

To clarify any doubts, use the comment section.

Answered by

~A lonely teen who helps others joyfully

-Grace

What two numbers add to -6 and multiple to 6

Answers

-3 x -3
-3 + -3

there’s ur answer!

Write all permutations of the letters E, F, G, and H if the letters F and G must remain between the letters E and H. (Enter your answers as a comma-separated list of four letter combinations. For example, the combination "C,D,E,F" should be entered as CDEF.)

Answers

Answer:

EFGH, HFGE, EGFH, HGFE

Step-by-step explanation:

The distance required for a car to stop is directly proportional to the
square of its velocity. If a car can stop in 112.5 meters at 15 kilometers
per hour, how many meters are needed to stop at 25 kilometers per hour?

Answers

Answer:

312.5 m

Step-by-step explanation:

let distance be d and velocity be v , then

d = kv² ← k is the constant of variation

To find k use the condition d = 112.5, v= 15

112.5 = k × 15² = 225k ( divide both sides by 225 )

0.5 = k

d = 0.5v² ← equation of variation

When v = 25 , then

d = 0.5 × 25² = 0.5 × 625 = 312.5 m

Which table represents a linear function?

Answers

Answer:

it's the last one in the lower right corner.

Other Questions
Which system of equations has no soulutions pls answer this it's due today Va a _____ .seconevartiene solllueve Robbie wants to complete the equation below.23+34=xWhich expression should Robbie use to solve for x?A.4/6+56B.8/12+912C.2/4+3/4D.12/18+15/18 NEED NOW PLEASE..... Solve the system with elimination: 5x - y =110x + 3y = 7 Solve.4.8x=4What is the solution to the equation?Enter your answer as a simplified fraction in the box.x = what percent of 75cm is 5cm Important parts of stydi g physics The Dutch were so proud of the painting below that they _______________________. Still Life with Flower Bouquet and Plums by Rachel Ruysch. The base of the flowers has a moth and acorns. A. Presented it to King Charles I b. Presented it to the French queen Marie de Medici c. Used it as a model for Flemish painters d. Presented it to the French queen Marie Antoinette. Solve for x. *40155010 explain the status of foreign employment in nepal in a paragraph what is the first step in the feedback control system? Please help ASAP I will give brainliest!! The 13th arithmetic sequence of whose common difference is d=7 and first term is A1=3 What is the solution to the 2nd degree equation below?x + 2x + 4 = 0 Mandy has 37 red markers and 24 green markers. She wants to place an equal number of markers on 4 tables. What is the greatest number of markers she could place on each table ? Explain please Circle the possessive pronoun. During the storm, people lost their power. what was one geographical feature that helped to isolate china? Which of the following is an equilateral triangle based on the given figure?