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
Vedmedyk [2.9K]
3 years ago
12

Can someone please solve for x:

Mathematics
2 answers:
sesenic [268]3 years ago
5 0
To solve this complex fraction equation, we need to get the same denominator on the left, then combine them to one term. Then we can cross-multiply with the other side.
1/2 + 4/2x = x/2x + 4/2x = (x+4)/2x
Now we have (x+4)/2x = (x+4)/10
cross-multiply:
(x+4)×10 = (x+4)×2x
10x+40 = 2x^2+8x
2 {x}^{2}  + 8x - 10x - 40 = 0 \\ 2 {x}^{2}  - 2x - 40 = 0 \\ 2({x}^{2}  - x - 20) = 0 \\ 2(x - 5)(x + 4) = 0
Therefore x = -4 and x = 5
C) is the correct answer
BabaBlast [244]3 years ago
3 0
Make the denominator into 10x:
5x/10x +20/10x=x(x+4)/10x
5x+20=x(x+4)
5x+20=x²+4x
x²-x-20=0
(x-5)(x+4)=0
x=5 or -4
the third choice is correct. 
You might be interested in
Consider the exponential function f(x) = 2(3x) and its graph.
AveGali [126]

Answer:

The initial value of the function is <u>2</u>

The base of the function is <u>3</u>

The function shows exponential <u>growth</u>

Step-by-step explanation:

f(x) = 2(3^x)

Exponential functions are those with the following equation:

y = a*b^x

where a ≠ 0, b > 0 and b ≠ 1 and x is a real number.

<em>a</em> is the y-intercept and <em>b </em>is the base.

The initial value of the function is the same as the y-intercept

If <em>a</em> is positive, the function growth. If <em>a</em> is negative, the function decay

6 0
3 years ago
Read 2 more answers
A website had 826,140 hits last month what is the value of the 8 in 826,140
DanielleElmas [232]
800,000. This is because the 8 is in the hundred thousandth spot. Because of this, the value of the 8 is eight hundred thousand.
8 0
3 years ago
6.5 + (−2) + 10.5 I could probably do this but its kind of hard to understand. Explain?
elena-s [515]
Hello! Let's work this problem from left to right to make things a bit easier ;)

6.5+(-2) is the same as 6.5-2, since adding a negative is the same as subtracting a positive. 6.5-2=4.5

Now, we have to add 10.5 to 4.5, which gives us the grand total of 15. I hope this helped! Let me know if you need anything else!
6 0
3 years ago
A Arrange the following integers in ascending order<br>1) 37, 41, 76, -2.25 -25<br>Answer: ​
madreJ [45]

ASCENDING ORDER

76,41,36,25,-2,-25

7 0
2 years ago
Read 2 more answers
find the sum of a 9-term geometric sequence when the first term is 4 and the last term is 1,024 and select the correct answer be
olasank [31]
Hello,

u_{1} =4\\&#10; u_{2} =4*q\\&#10; u_{3} =4*q^2\\&#10;...\\&#10;&#10; u_{9} =4*q^8\\\\&#10;==\textgreater\ 4*q^8=1024\\&#10;==\textgreater\ q^8=256\\&#10;==\textgreater\ q=2\mbox{( and there is a problem in the question) } \ or \ q=-2\\&#10;if\ q=2 \ then\  \sum_{i=0}^{8}\ 4*(2)^i= 4*\dfrac{1-2^9}{1-2} =2044\\&#10;&#10;if \ q=-2 \ then\ \sum_{i=0}^{8}\ 4*(-2)^i= 4*\dfrac{1-(-2)^9}{1+2} =684\\&#10;&#10;&#10;&#10;

Answer B (but see the problem)
7 0
3 years ago
Read 2 more answers
Other questions:
  • Constance invested $4500 for 3 years in a savings account paying simple interest with a yearly interest rate of 3.5%. How much s
    7·2 answers
  • Please Help its past due!
    9·2 answers
  • A factory needs to produce 1,800 jars of peanut butter on a certain day.They start production at 8:30 A.M. By 10:30 A.M., they h
    10·2 answers
  • Which scenario involves acceleration
    5·1 answer
  • A herd of 25 horses has 5 white and some horses.What is the ratio of black horses to all horses?
    11·2 answers
  • PLEASE HELP ASAP (next 4 minutes)!!!!! thank you!!!
    8·1 answer
  • Algebra 2, how do you solve these questions?
    6·1 answer
  • NO LINKS OR FILES PLEASE!!! -_-
    13·1 answer
  • 8. Add.<br> 445,976 + 37,415 =
    7·1 answer
  • Find the perimeter of the image below: A. 37 units
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!