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

please help me and NOOO LINKS

Answers

Answer:

whats the shape

Step-by-step explanation:

Why ain’t nobody helping?
Please help!! ASAP Simplify the expression and enter your answer below. ;)

Answers

Answer:

(17^1/7)^7 SIMPLIFIED is 498.26016735

the simplified expression is 17 as the powers cancel each other out :)

What si 19 3/4 + 19 3/8

Answers

Answer:

313 over 8=39 and 1 over 8 39 1 /8 =39.125

Step-by-step explanation:

Y=-2|x+2|-4 i need to find y intercept and the x intercept

Answers

Answer:

x-int: ∅

y-int: (0,-8)

Step-by-step explanation:

To find the x and y-intercept, simply plug in zero for x and y:

[tex]0=-2|x+2|-4\\4=-2|x+2|\\-2=|x+2|\\[/tex]

Because an absolute value cannot be equal to a negative, there is no x-intercept.

[tex]y=-2|0+2|-4\\y=-2|2|-4\\y=-4-4\\y=-8[/tex]

Hope it helps :)

Jossems cell phone cost
him $21 per month plus $3 for every 1GB of data downloaded. what is the limit to the number of GBs he can download to stay within his monthly budget of $30.

Answers

Answer:

Joe can only use 3GB of Data. Bill is 21 .

[tex]21 + 9 + 30[/tex]

[tex]1gb \: \: = 3[/tex]

3*9 = 93 ( 3 ) + 21 = 30

Step-by-step explanation:

Hope this helps !!

If Y varies directly with x , and y=15 when x=3 write the direct linear variation equation

Answers

Something is wrong with th

Calculate if possible

Answers

Answer:

25/4

Step-by-step explanation:

7 can also be 7/1. Now you have 7/1-3/4. Multiply the denomiator to make them the same so you can subtract. 1*4=4 and 7*4= 28. Now you have 28/4-3/4. Subtract the numerators. 28-3=25. Your answer is 25/4. (6.25 if you need it in decimal form)

a^-13/ a^-6= ?
Rewrite the expression in the form a^n


Answers

Answer:

a^-7

Step-by-step explanation:

so when dividing exponents you subtract them so the exponents are -13 and -6  you would just subtract them

-13 - (-6) = -13 + 6 = -7

and so a^-7 is ur answer

A cash card has a starting value of $25. If the card is not used within the first year of its purchase, the value on the card begins to decrease by $2.50 per month.
The relationship between the number of months after the first year and the amount remaining on the card is .

The independent variable is the _____________?

The dependent variable is the ______________?

Answers

Answer:

The relationship between the number of months after the first year and the amount on the remaining card is linear and inverse ( Which meant that ,when the number of months after the first year increases , the amount on the remaining car decreases , in a linear way ) .

The Independent variable is the numbers of months after the first year .

The Dependent variable is the amount on the remaining card , Bcoz this amount depends on the time it has passed since the first year , ( which is our independent variable!).

If we call "Y" our dependent variables and "X" our Independent variable , This relationship can be written as Y= 25 - 2.5x.

If no months had passed since the first year, then x= 0 and the amount in the card equals $25 , While if one month has passed since the first year x= 1 and y= 22.5 ( The amount in the card in this case is $22.5 .

Step-by-step explanation:

Hope this helps you !!

6 A clothing store paid $30 for a jacket, and sold the jacket for $48.
What was the percent increase?

Answers

Answer:

60%

Step-by-step explanation:

% increase = Increase ÷ Original Number × 100

             

Answer:

60%

Step-by-step explanation:

Total increase in cost = $(48 - 30) = $18

Now,

% increase = Increase/Original amount × 100

=> 18/30 × 100

=> 18/3 × 10

=> 6 × 10

=> 60%

Which is the graph of y = [x]-2?

Answers

Answer:

Step-by-step explanation:

number 1

help quick! Which BEST describes the tables?

Answers

Answer:

D. Neither table represents a function

Step-by-step explanation:

Functions require a key to go by. In this case, none of the two tables have a key from the start going down.

Evaluate –10 • x • 5 when x = –1.


–50


–15


6


50

Answers

The answer is 50 ! :-)

[tex]\sf 8x+12-8x+15+15x-22-x[/tex]

Answers

Let's get it done !

[tex]8x + 12 - 8x + 15 + 15x - 22 - x[/tex]

[tex]8x - 8x + 15x - x + 12+ 15 - 22[/tex]

[tex]14x + 5[/tex]

Answered by : " Unknown "

the perimeter of a square is 72 inches, what is its area?

Answers

Answer:

A = 324 in²

Step-by-step explanation:

A square has 4 congruent sides s , then

s = 72 ÷ 4 = 18 in

The area (A) of a square is calculated as

A = s² = 18² = 324 in²

don't know the answer pls help :p

Answers

Answer:

  (b)  increase the height so the slant height triples

Step-by-step explanation:

The lateral area is jointly proportional to the radius and the slant height of the cone. Increasing either one individually by a factor of 3 will triple the lateral area.

To triple the lateral area, you can ...

  increase the height so the slant height triples

PLEASEE HELPP I FORGOT HOW TO DO DIS !

Answers

The triangle has height 4.6 mm and its base has length 3.4 mm, so its area is

1/2 • 4.6 mm • 3.4 mm = 7.82 mm²

HELP ME PLEASEEEE I NEED ITT !

Answers

Answer:

5.8

miles

Step-by-step explanation:

Since area is l×b or l×l since its a square(sides are equal) we can conclude that S×S=33.64

Another way to represent this is

[tex] {s}^{2} = 33.64[/tex]

to get S we can square root both sides

[tex]s = \sqrt{33.64} [/tex]

[tex] \sqrt{33.64} = 5.8[/tex]

Therefore S=5.8miles

Answer = about 5.82 miles squared

Explanation: The shape is a square meaning all of the side lengths are the same. So the square root of 33.84 is 5.82 and 5.82 to the second power is about 33.84.

if a+b+c=0, prove that a^2 - b^2 - c^2 = 2bc

Answers

Step-by-step explanation:

a+b+c=0b+c=(-a) (SQUARING both the sides)(b+c)²=(-a)²(b²+c²+2bc)=a²2bc=a²-b²-c²

HENCE PROVED

-b²-c²=2bc

Step-by-step explanation:

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

Solve.

x2=−0.73

What is the solution to the equation?

Enter your answer as a decimal in the box.

x =

Answers

x = -0.365 (If its x(2)=-0.73)

How I solved it:

x^2=-0.73

-0.73÷2=-0.365

//

-0.365×2=-0.73

Therefore, the answer is -0.365.

Answer:

x = -1.46 (if its x/2=-0.73)

x/2=-0.73

-0.73x2=-1.46

therefore,

-1.46/2=-0.73

///

making the answer

-1.46

simplify the radical 99

Answers

Step-by-step explanation:

The square root of 99 is 99½ in the exponential form and 3√11 in its simplest radical form.

90% of _______ is 18.

Answers

90% of 20 is 18
P/s: 18/90% = 20
Ok done. Thank to me :>

An album which originally cost p 900, mark up with 30%. What is the selling price? A. p 970.00 B. p 1070.00 C. p 1170.00 D.p 1270.00​

Answers

The markup percentage specifies the amount by which the selling price is

raised above the cost price.

The correct option for the selling price is B. p 1,070.00

Reasons:

The original cost of the album = p900

The mark up percentage = 30%

Required:

The selling price

Solution:

The percentage mark up is given by the difference between the price at

which an item is for sale and its cost expressed as a percentage.

[tex]\displaystyle Percentage \ mark \ up = \mathbf{\frac{Selling \ price - Cost \ price}{Cost \ price} \times 100}[/tex]

Therefore, we have;

[tex]\displaystyle 30 = \frac{Selling \ price - 900 }{900} \times 100[/tex]

[tex]\displaystyle 0.3 = \frac{Selling \ price - 900 }{900}[/tex]

900 × 0.3 = Selling price - 900

270 = Selling price - 900

Selling price = 900 + 270 = 1,070

The selling price is B. p 1,070.00

Learn more about percentage markup here:

https://brainly.com/question/16959984

Chromosome 13 in the human body contains a DNA molecule that is about 3.19 centimeters long.

What is the length of 1,000 of these molecules?

Answers

your answer is 3,190 centimeters. or 31.9 meters



Write an equation in slope-intercept form of the line that passes through the points (-2.3) and (2.7)

Answers

I'm pretty sure the answer is y=x+5

9. The painter bought 8 cans of paint for $12.99 each. How much did he spend on paint?​

Answers

10 minutes ago — 9. The painter bought 8 cans of paint for $12.99 each. How much did he spend on paint?​ · 9. 25 students each paid $6.50 to go to the museum ...

Determine whether each quadrilateral is a parallelogram. Justify your answer.

Answers

Answer:

1. Parallelogram2. Parallelogram3. Parallelogram

Step-by-step explanation:

I am un-sure of the answers. I apologize if this is incorrect.

Hoped this helped.

Given 4 < x < 9 and 5 - y< 4 , where x and y are integers. Find the maximum value of x-y. ​

Answers

Answer:

You want to maximize x and minimize y

Maximum y = 8

Minimum y = 10

8-10= -2

​A cable company has a one time installation fee and then a monthly charge to use their service. The total cost of modeled by the function y=130x+119. Which statement represents the meaning of each part of the function?​

Answers

Answer:

130=monthly charge

119=one time installation fee

Step-by-step explanation:

119 is the y-intercept and in problems like these, it is always the one time fee. 130 is the monthly payment because it has an x, which could account for the number of months. For example , say six months passed, you could multiply 130 * 6 to get the monthly fee for six months. I hope that makes sense!

common factor of 36 and 48

Answers

Answer:

12

Step-by-step explanation:

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