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

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

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

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

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

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

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!

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

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


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

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:

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

(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

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]

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

Answers

Answer:

Step-by-step explanation:

-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

What two numbers add to -6 and multiple to 6

Answers

-3 x -3
-3 + -3

there’s ur answer!

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

Answers

Answer:

2- × 5

Step-by-step explanation:

ASAPPPP HELPPPP PLEASEEEE

Answers

Answer:

27.6

Step-by-step explanation:

sin29=x/57

0.48480962=x/57

x≈27.6

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.

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!

Which table represents a linear function?

Answers

Answer:

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

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

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.

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

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

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

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

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.

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:

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