1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
cupoosta [38]
3 years ago
8

Simplify completely the quantity x squared plus x minus 12 over quantity x squared minus x minus 20 divided by the quantity 3 x

squared minus 24 x plus 45 over quantity 12 x squared minus 48 x minus 60.
Mathematics
1 answer:
posledela3 years ago
4 0
X² + x - 12 / x² - x - 20  ÷ 3x² - 24x + 45 / 12x² - 48x - 60

x² + x - 12 / x² - x - 20 * 12x² - 48x - 60 / 3x² - 24x + 45

<u>(x² + x - 12)(12x² - 48x - 60)</u>
(x² - x - 20)(3x² - 24x + 45)

<span><u>12x^4 - 48x³ - 60x² + 12x³ - 48x² - 60x - 144x² + 576x + 720</u>
</span>3x^4 - 24x³ + 45x² - 3x³ + 24x² - 45x - 60x² + 480x - 900
<span>
<u>12x^4 - 48x³ + 12x³ - 60x² - 48x² - 144x² - 60x + 576x + 720</u></span>
3x^4 - 24x³ - 3x³ + 45x² + 24x² - 60x² - 45x + 480x - 900

<u>12x^4 - 36x³ - 252x² + 516x + 720</u>
3x^4 - 27x³ + 9x² + 435x - 900

<u>12(x^4 - 3x³ - 21x² + 43x + 60)  </u>
  3(x^4 - 9x³ + 3x² + 145x + 300)

<u>4(</u><span><u>x^4 - 3x³ - 21x² + 43x + 60)  </u>
</span><span>  (x^4 - 9x³ + 3x² + 145x + 300)</span>
You might be interested in
Yvonne bought a car for $10,300. After 3 years, the value of the car was $6,250. The value of this car decreases exponentially o
Likurg_2 [28]

Answer:

A = $44,778.84

A = P + I where

P (principal) = $10,300.00

I (interest) = $34,478.84 or 12 months

Step-by-step explanation:

Given: Yvonne bought a car for $10,300. After 3 years, the value of the car was $6,250. 50%

To find: In approximately what number of additional months will the value of Yvonne’s car be 50% of the price she originally paid?

Formula: (\frac{interest rate}{number of payments}) × loan principal = interest

Solution:  Divide your interest rate by the number of payments you’ll make in the year (interest rates are expressed annually). So, for example, if you’re making monthly payments, divide by 12. Multiply it by the balance of your loan, which for the first payment, will be your whole principal amount.

(This gives you the amount of interest you pay the first month.)

First, convert R as a percent to r as a decimal

r = R/100

r = 50/100

r = 0.5 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 10,300.00(1 + 0.5/12)(12)(3)

A = 10,300.00(1 + 0.041666667)(36)

A = $44,778.84

Henceforth:

The total amount accrued, principal plus interest, with compound interest on a principal of $10,300.00 at a rate of 50% per year compounded 12 times per year over 3 years is $44,778.84.

6 0
2 years ago
What is the answer to ax + 7 = 8x + b<br> when x=9
xxTIMURxx [149]

Hey there!

ax + 7 = 8x + b

when x=9, so:

a(9) +7= 8(9) +b

9a +7= 72+b

I hope this helps?

6 0
3 years ago
Deepak is measuring sides and angles of triangle FGH to determine whether it is congruent to triangle MNP shown below. Triangle
jok3333 [9.3K]
A dog has sharp teeth so that it can eat flesh very easily, it has four legs, two ears, two eyes, a tail, a mouth, and a nose. It is a very clever animal and is very useful in catching thieves. ... Dogs are a very faithful animal. It has a sharp mind and a strong sense of hearing smelling the things.
Explain
7 0
3 years ago
What are all the powers if 4 that range from 4 through 1000
LekaFEV [45]
You're just going to take exponents of 4. For example, 4 to the power of 1, 4 to the power of 2, 4 to the power of 3, and so on. To get the powers of 4, just multiply 4 by how much the exponent reads. For example 4 to the power of 3 is just 4 multiplied by itself 3 times.
4^1=4
4^2=16
4^3=64
4^4=256
4^5=1024
However, 1024 is greater than 1000 so we do not include it.
7 0
3 years ago
I don't really understand this question so can someone please help
Makovka662 [10]
Hello,

(5x-2)+(2x+6)=67
==>7x+4=67
==>7x=67-4
==>7x=63
==>x=63/7
==>x=9
|AB|=5x-2=5*9-2=45-2=43 (miles)


8 0
3 years ago
Other questions:
  • The florist has 63 roses and carnations.if she has 27 roses bow many carnations does she have?
    8·1 answer
  • Answer my question please
    11·1 answer
  • What is the answer to 9/11 - 4/11<br>​
    8·2 answers
  • A small box of raspberries costs $2 A large box of raspberries costs $6 .Use this information to complete the sentence  The larg
    12·2 answers
  • What is the point-slope form of a line with slope 3/2 that contains the point
    14·1 answer
  • I needs help please and tank chu
    12·1 answer
  • 4f2 + 3h - g+f
    12·1 answer
  • Could someone help me, please
    10·1 answer
  • A gym class has $12$ students, $6$ girls and $6$ boys. The teacher has $4$ jerseys in each of $3$ colors to mark $3$ teams for a
    6·1 answer
  • Q15. Ken earned x dollars at his part-time job on Friday. His wife earned $12 more
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!