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
Nimfa-mama [501]
3 years ago
9

Help Please!! 30 Points! Simplify the given expression. 5/ 4x^2-36 + 8/ 2x+6

Mathematics
1 answer:
jok3333 [9.3K]3 years ago
6 0

Answer:

Step-by-step explanation:

\frac{5}{4x^2-36} +\frac{8}{2x+6} \\=\frac{5}{(2x)^2-6^2} +\frac{8}{2x+6} \\=\frac{5}{(2x+6)(2x-6)}+\frac{8}{2x+6}\\  =\frac{5+8(2x-6)}{(2x+6)(2x-6)} \\=\frac{5+16x-48}{(2x+6)(2x-6)} \\=\frac{16x-43}{4x^2-36}

You might be interested in
A typical credit card company charges 18% annual interest,
AnnZ [28]

Answer:

$1,519

Step-by-step explanation:

Given that :

Balance = principal = $520

Time (t) = 6 years

Annual. Interest rate (r) = 18% = 0.18

Using the compound interest formula:

A = P(1 + r/n)^nt

n = number of times interest is applied per period ; A = final amount

Since interest is compounded monthly, n = 12

A = 520(1 + 0.18/12)^(12 * 6)

A = 520(1 + 0.015)^72

A = 520(1.015)^72

A = 520(2.9211579)

A = 1519.0021

Hence, final amount = $1519

3 0
3 years ago
A ball was tossed up into the air. The height of the ball as a function of the time the ball is in the air in seconds can be mod
Brut [27]

Answer:

12.5

Step-by-step explanation:

Its the answer I just did it :)

3 0
3 years ago
Read 2 more answers
Find the first term of the following geometric sequence ----,42,126,378,1,134
sergey [27]
Since it is a geometric sequence each term will be a specific multiple of the term preceding it, called the common ratio...

126/42=378/126=1134/378=3

The sequence is a(n)=a(3)^(n-1) and we know the second term is 42 so:

42=a(3)^(2-1)

42=3a

a=14

So the first term is 14.
8 0
3 years ago
The gray area is the sidewalk. The area of the sidewalk is ___________ square units. A) 48 B) 56 C) 72 D) 84
tamaranim1 [39]
A i did this problem before with another user
3 0
3 years ago
Find the real zeros of f(x); there are 4 zeros
ziro4ka [17]

Answer:

x = 4 or x = 1 or x = -2 or x = -3/2

Step-by-step explanation:

Solve for x over the real numbers:

2 x^4 - 3 x^3 - 21 x^2 - 2 x + 24 = 0

The left hand side factors into a product with four terms:

(x - 4) (x - 1) (x + 2) (2 x + 3) = 0

Split into four equations:

x - 4 = 0 or x - 1 = 0 or x + 2 = 0 or 2 x + 3 = 0

Add 4 to both sides:

x = 4 or x - 1 = 0 or x + 2 = 0 or 2 x + 3 = 0

Add 1 to both sides:

x = 4 or x = 1 or x + 2 = 0 or 2 x + 3 = 0

Subtract 2 from both sides:

x = 4 or x = 1 or x = -2 or 2 x + 3 = 0

Subtract 3 from both sides:

x = 4 or x = 1 or x = -2 or 2 x = -3

Divide both sides by 2:

Answer:  x = 4 or x = 1 or x = -2 or x = -3/2

7 0
3 years ago
Read 2 more answers
Other questions:
  • Which unit would you use to measure the amount of water in a swimming pool?
    6·1 answer
  • I NEED HELP ASAP!! WORK ON THE QUESTION WOULD BE NICE BUT NOT NECESSARY!! THANK YOU FOR HELPING ME!
    7·1 answer
  • Is -94 a rational number
    15·1 answer
  • A washer and dryer cost 1003 combined the washer cost 53 more than dryer what’s the cost of dryer
    14·1 answer
  • A plane traveling with a velocity measured in meters per second, is described by vector = 〈6,5〉. Find the speed of the plane. √3
    7·2 answers
  • Which problem is represented by the diagram?
    13·1 answer
  • How do you find the volume of compound shapes
    15·1 answer
  • How does -15/14 + 9/8 = 3/56
    15·2 answers
  • Which line has a slope of 0?
    8·1 answer
  • In a normal distribution, 95% of the data fall within how many standard
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!