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
faltersainse [42]
3 years ago
14

Give the excluded values for the rational equation. (3x)/(x-4)-(x+3)/(x+4)=(2x+7)/(x^(2)-16)

Mathematics
2 answers:
scoray [572]3 years ago
8 0

\frac{3x}{x-4}  - \frac{x+3}{x-4} = \frac{2x+7}{x^2-16}

We factor the denominators

Factor x^2 - 16

x^2 - 4^2

We use a^2 - b^2 = (a+b)(a-b)

so x^2 - 4^2 = (x+4)(x-4)

Replace it in the given equation

\frac{3x}{x-4}  - \frac{x+3}{x-4} = \frac{2x+7}{(x+4)(x-4)}

Excluded values are the values that makes the denominator 0

we have (x-4)  and (x+4) in the denominator

We set the denominator =0 and solve for x

x-4 =0

Add 4 on both sides

x= 4

x+4=0

subtract 4 onboth side

so x= -4

Excluded values are x=-4 and x=4




meriva3 years ago
8 0

Answer is x =-4 and x =4

Explanation:

\frac{3x}{x-4} -\frac{x+3}{x+4}=\frac{2x+7}{x^2-16}\\Let us take LCD\\\frac{3x(x+3)-(x+3)(x-4)}{x^2-16}= \frac{2x+7}{x^2-16}

We find that there is a common denominator.

This should not be equal to 0.

i.e. x ≠4 or x ≠-4

Thus x=4 and x=-4 are the excluded values for the rational equation.

Once we exclude these values, we cancel and equate numerator

3x(x+4)-(x+3)(x-4) = 2x+7

Simplify to get  3x^2+12x-x^2+x-12 = 2x+7

2x^2+11x-19 =0

Thus when we exclude those values, we et a quadratic equation with 2 solutions.



simplify to get


You might be interested in
What is the value of 3ab+<br>5b - 6 when a = - 1and b = 3​
Fantom [35]

Answer:

the answer is 0

4 0
3 years ago
Read 2 more answers
Assuming the amount of money college students spend on text books each semester is symmetrical with a mean of 500 and a standard
TiliK225 [7]

16% percent of the students paid MORE than Jane.

The mean(μ) of money spent on textbooks is 500

The standard deviation(σ) of money spent on textbooks is 50

Money paid by Jane for her books is $550

We will use this formula,

Ζ=x-μ/σ

To find: the percentage of students paid MORE than Jane for the textbooks

P(X > 550)=?

Solution:

P(X > 550)=1-P(X≤550)

=1-P(Ζ≤\frac{550-500}{50} )

=1-P(Ζ≤ 1)

=1-0.8413

=0.1587

≈16%

Therefore, 16% percent (approx) of the students paid MORE than Jane.

Learn more about mean and standard deviation here brainly.com/question/4388715

#SPJ4

3 0
2 years ago
There was a back ….
choli [55]

13. 79

14. 79

15. 101

16. 101

17. alternate interior angles

18. alternate exterior angles

19. vertical angles

20. corresponding angles

3 0
2 years ago
$3.50 for 12 pound of cheese. the cost for 1 pound of cheese is
Lerok [7]

Answer: 0.29166666666

Step-by-step explanation:

6 0
3 years ago
If the converse statement, “If practice is cancelled, then I will be home for dinner” is true, which other statement must also b
Nataly_w [17]

Answer:

D.) If I will not be home for dinner, then practice is not cancelled.

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • What is 48,100,000,000,000 in scientific notation?
    14·2 answers
  • What is the area of the polygon below?
    15·2 answers
  • Can Someone tell me the Steps for fraction multiplication and division... please..
    7·1 answer
  • The solution to 2x - 5 = 27 is also a solution of which of the following equations?
    5·2 answers
  • What is 0.2v=1.2;v equal to
    14·1 answer
  • What fraction is in between 2/3 and 3/3?
    6·2 answers
  • Does anyone know this
    8·2 answers
  • Find the surface area of the cylinder to the nearest whole number. The figure is not drawn to scale
    10·2 answers
  • Which of these equations is in slope intercept form?
    13·1 answer
  • Rhianna is baking a cake and some cookies for a party. She used cups of flour for the cake. For each tray of cookies, she needs
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!