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
SSSSS [86.1K]
3 years ago
14

What is the simplified form of 3 over 2x plus 5 + 21 over 8 x squared plus 26x plus 15 ?

Mathematics
1 answer:
Ivan3 years ago
6 0
The simplified form of 3 over 2x plus 5 + 21 over 8 x squared plus 26x plus 15 is <span>6 over the quantity 4 x plus 3.

</span>

The solution would be like this for this specific problem:

( 3 /( 2x+5 )) + ( 21 / (8x^2 + 26x + 15))
= ( 3 /( 2x+5 )) + ( 21 / (8x^2 + 20x + 6x + 15))
= ( 3 /( 2x+5 )) + ( 21 / (4x(2x + 5) + 3(2x + 5))
= ( 3 /( 2x+5 )) + ( 21 /(2x + 5)(4x + 3)
= [ 3 (4x + 3) + 21 ] /(2x + 5)(4x + 3)
= [ 12x + 9 + 21 ] /(2x + 5)(4x + 3)
= [ 12x + 30 ] /(2x + 5)(4x + 3)
= 6(2x + 5) /(2x + 5)(4x + 3)
= 6 / (4x + 3)

<span>I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.</span>

You might be interested in
How many soulutions are there to the equation below?<br><br> 8x+47=8(x+5)
Novosadov [1.4K]

Answer:

Step-by-step explanation:

8x+47=8(x+5)

8x+47=8x+40

47=40

which is impossible so it has no solution.

6 0
2 years ago
How many integers between 100 and 999 (inclusive) have distinct digits
daser333 [38]

Answer:

648

Step-by-step explanation:

Running this in Python, with the code as follows,

import math

cur_numbers = [0] * 3

num = 0

for i in range(100, 1000):

   cur_numbers[2] = i % 10

   i = math.floor(i/10)

   cur_numbers[1] = i % 10

   i = math.floor(i/10)

   cur_numbers[0] = i % 10

   if(len(set(cur_numbers)) == 3):

       num += 1

       print(cur_numbers)

       

print(num), we get 648 as our answer.

Another way to solve this is as follows:

There are 9 possibilities for the hundreds digit (1-9). Then, there are 10 possibilities for the tens digit, but we subtract 1 because it can't be the 1 same digit as the hundreds digit. For the ones digit, there are 10 possibilities, but we subtract 1 because it can't be the same as the hundreds digit and another 1 because it can't be the same as the tens digit. Multiplying these out, we have

9 possibilities for the hundreds digit x 9 possibilities for the tens digit x 8 possibilities for the ones digit  = 648

5 0
2 years ago
What is cd? please answer
stealth61 [152]

Answer:

18 units

Step-by-step explanation:

The centroid is located 1/3 the distance from the midpoint of a side to the opposite vertex. That means ...

CG = 2·DG = 6 + DG

Then

DG = 6 . . . . . . subtract DG from the above equation

Of course, ...

CD = CG +DG = 2·6 +6

CD = 18

7 0
3 years ago
George collects 25 baseball cards each month. How many cards will he have at the end of one year? Complete the equation to help
kaheart [24]
25(cards per month) x12(months in one year) =300 cards at the end of one whole year
4 0
3 years ago
Read 2 more answers
Please write down your work on the loose leaf, take a CLEAR picture, and upload here. Thank you.
Zigmanuir [339]

Answer:

m(∠C) = 18°

Step-by-step explanation:

From the picture attached,

m(arc BD) = 20°

m(arc DE) = 104°

Measure of the angle between secant and the tangent drawn from a point outside the circle is half the difference of the measures of intercepted arcs.

m(∠C) = \frac{1}{2}[\text{arc(EA)}-\text{arc(BD)}]

Since, AB is a diameter,

m(arc BD) + m(arc DE) + m(arc EA) = 180°

20° + 104° + m(arc EA) = 180°

124° + m(arc EA) = 180°

m(arc EA) = 56°

Therefore, m(∠C) = \frac{1}{2}(56^{\circ}-20^{\circ})

m(∠C) = 18°

8 0
3 years ago
Other questions:
  • A girl scout troop sold cookies. If the girls sold 5 more boxes the second week than they did the first, and if they doubled the
    7·2 answers
  • What is the equation for the area of a square and the length of a side
    8·1 answer
  • If C(x) is the cost of producing x units of a commodity, then the average cost per unit is c(x) = C(x)/x. Consider the cost func
    12·1 answer
  • Translate the phrase into a math expression 12 less than twice a number
    15·1 answer
  • BRAINLIEST TO THE FIRST CORRECT ANSWER!!The expression on the left side of an equation is shown below.
    12·2 answers
  • Marco paid $12 for 3jump ropes. If each jump rope costs the same amount, how much does 1 jump rope cost? Write and solve an equa
    13·2 answers
  • If n(p)=20, n(Q)=30 and n (PUQ)=40<br><br>then<br><br>Draw a veen diagram of the above information.
    15·2 answers
  • Simplify 4^3 • 4^5 <br> a 4^8<br> b 16•15<br> c 4^15<br> d 16^8
    6·1 answer
  • What's the distance between (-6,4) and (1,-4)
    9·1 answer
  • The formula for the area of a rhombus is A = ∙ d1 ∙ d2, where A = area, d1 = diagonal 1, and d2 = diagonal 2. For a rhombus with
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!