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
DerKrebs [107]
3 years ago
9

Given f(x)=4x^2+6x and g(x)=2x^2+13x+15, find (f/g)(x). Show your work.

Mathematics
1 answer:
Svet_ta [14]3 years ago
3 0
(f/g)(x)= (4x^2+6x)/(2x^2+13x+15)

first simplify expression and write 13x as a sum to make easier factorization

(4x^2+6x)/(2x^2+10x+3x+15)

then factorize numerator and denominator
 
(2x(2x+3))/(2x(x+5) + 3(x+5))

rewrite and factor out denominator
(2x(2x+3))/((2x+3)(x+5))

reduce fraction
2x/(x+5)
hope that help you out

You might be interested in
2540mm converted into cm
Oduvanchick [21]

Answer:

Step-by-step explanation:

254cm

4 0
2 years ago
Read 2 more answers
You need to buy 30 pounds of hamburger and 15 packages of buns for a staff-appreciation picnic. You have 2 options for hamburger
son4ous [18]

We have to determine the best cost after all discounts and tax.

Hamburger:

1 pound of Open Acres = $2.39

30 pounds of Open Acres = 30 \times \$2.39 = \$71.7

10% off is provided if we buy at least 10 pounds of Open Acres, we bought 30 pounds. So, we get 10% off.

10% off on 30 pounds of Open Acres Hamburgers = 10% of $71.7

= \frac{10}{100} \times 71.7 = 7.17

Total cost of 30 pounds of Open Acres Hamburgers = $71.7 - $7.17

=$64.53

Buns:

1 packet of Burly buns = $1.93

15 packets of Burly buns = 15 \times \$1.93

=$28.95

5% off on 15 packets of Burly buns = 5% of $28.95

= \frac{5}{100} \times 28.95 = \$1.4475

Total cost of 15 packets of Burly buns = $28.95 - $1.4475

=$27.50

Now, according to the question, a 10%-off coupon that can be used on either the hamburger or the buns, but not both, after any other discounts are applied.

Let us apply 10% off applied on Hamburgers:

10% of $64.53

=\frac{10}{100} \times 64.53 = \$6.453

Now, total cost of hamburgers after all the discounts = $64.53-$6.453

= $58.077

And total cost of Buns after all the discounts = $27.50

Total price of hamburgers and buns = $58.077 + $27.50

= $85.577

5% tax applied on total price of hamburgers and buns = 5% of $85.577

= $4.28

Best cost on the purchase of hamburgers and buns = $85.577 + $4.28

= $89.857

Rounding to the nearest hundredth dollar, we get

Best cost on purchase of 30 pounds of hamburgers and 15 packets of buns after all discounts and tax = $89.86

4 0
3 years ago
Read 2 more answers
Six less than five times a number is three more than twice the number.
nignag [31]

Answer:

5x - 6 -3= 2x

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Pls, look at the picture for the question.
lyudmila [28]

Answer:

Positive gradient and the gradient is 3/2x

4 0
2 years ago
HELP, I'M GIVING A GOOD AMOUNT OF POINTS
jekas [21]

Answer:

I need to know what the question asks

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • HELP ASSSAPPP WITH THIS QUESTION!!!
    11·1 answer
  • Can someone please help me with simplifying division of polys?
    14·1 answer
  • When rolling a fair number cube with numbers 1 through 6, what is the probability of rolling a number less than 5?
    10·2 answers
  • Help please!! would appreciate it ​
    5·1 answer
  • What value of W is a solution to this equation? W + 7 = 12
    10·1 answer
  • Negative sixteen plus the quotient of a number and -4 is -3
    7·2 answers
  • Simplify 3x + 6x2 - 5x - x2<br> 6x2 + 2x<br> 0 6x²-2x<br> 5x2 - 2x<br> 5x2 + 2x<br> HELP
    12·2 answers
  • Find the slope of the line.
    13·1 answer
  • Cannn yalll help meee pweasee
    5·1 answer
  • Can someone please be indepth
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!