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
kumpel [21]
3 years ago
6

What are the excluded values of the function y= 8/x^2-25

Mathematics
2 answers:
Blababa [14]3 years ago
6 0

Answer:

  8

——

 x2

Step-by-step explanation:

Equation at the end of step  1  :

        8    

 y -  (—— -  25)  = 0  

       x2    

Step  2  :

Rewriting the whole as an Equivalent Fraction :

2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  x2  as the denominator :

         25     25 • x2

   25 =  ——  =  ———————

         1        x2    

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

8 - (25 • x2)     8 - 25x2

—————————————  =  ————————

     x2              x2    

Equation at the end of step  2  :

      (8 - 25x2)

 y -  ——————————  = 0  

          x2    

Step  3  :

Rewriting the whole as an Equivalent Fraction :

3.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  x2  as the denominator :

         y     y • x2

    y =  —  =  ——————

         1       x2  

Trying to factor as a Difference of Squares :

3.2      Factoring:  8 - 25x2  

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check :  8  is not a square !!

Ruling : Binomial can not be factored as the

difference of two perfect squares

Adding fractions that have a common denominator :

3.3       Adding up the two equivalent fractions

y • x2 - ((8-25x2))     yx2 + 25x2 - 8

———————————————————  =  ——————————————

        x2                    x2      

Trying to factor a multi variable polynomial :

3.4    Factoring    yx2 + 25x2 - 8  

Try to factor this multi-variable trinomial using trial and error  

Factorization fails

Equation at the end of step  3  :

 yx2 + 25x2 - 8

 ——————————————  = 0  

       x2      

Step  4  :

When a fraction equals zero :

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 yx2+25x2-8

 —————————— • x2 = 0 • x2

     x2    

Now, on the left hand side, the  x2  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  yx2+25x2-8  = 0

Solving a Single Variable Equation :

4.2     Solve   yx2+25x2-8  = 0

Blizzard [7]3 years ago
4 0

Answer:

I believe it's B.)5 and -5

Step-by-step explanation:

Hope this helps :))

You might be interested in
Shelby is creating a budget for the week. At her job she earns $15.50 per hour. Her rent cost $300. Shelby wants to have at leas
netineya [11]

Answer:

15.5x - 300 >= 280

Step-by-step explanation:

Let x = the number of hours she works.

The amount of money she earns will be 15.50x

Her rent costs $300, so that value gets subtracted from the amount she earns. That makes our expression for how much money she earns:

15.5x - 300

This amount has to be over 280, so our inequality will be:

15.5x - 300 >= 280

8 0
2 years ago
Simplest form 3/8 4/5
enyata [817]
Simplies form of 3/8 is 1/4
7 0
3 years ago
3/12 and 5/x are equivalent ratios. Solve for x
AleksandrR [38]
I hope this helps you


3/12=5/x


1/4=5/x


x=4.5


x=20
3 0
3 years ago
Read 2 more answers
What is the expected value of X?
Nikitich [7]

Answer:678

Step-by-step explanation:im dumb

4 0
3 years ago
Help me <br>ans should be well explained ​
Katen [24]

Finding diagonal sum

\\ \sf\longmapsto 0.7+1.0+1.3

\\ \sf\longmapsto 0.7+2.3

\\ \sf\longmapsto 3.0

#b

Observing the square

  • x=0.9
  • y=0.6

\\ \sf\longmapsto xy=0.9(0.6)

\\ \sf\longmapsto xy=0.54

8 0
3 years ago
Read 2 more answers
Other questions:
  • Atoms contain charged particles called protons and electrons. Each proton has a charge of +1, and each electron has a charge of
    5·2 answers
  • If D=25 use information in the figure below to determine angle F
    7·1 answer
  • anna bakes 12 blueberry muffins, 20 bran muffins, and 8 apple muffins. what percent of the muffins are blueberry?
    13·2 answers
  • Identifying the values a, b, and c is the first step in using the Quadratic Formula to find solution(s) to a quadratic equation.
    10·1 answer
  • Josie bought a pair of jeans for $19.00. this was 3/4 of the original price. What decimal represents her discount
    13·1 answer
  • Help me with this 4 2/7÷1 1/4
    15·1 answer
  • Determine the center and the diameter of the circle with the equation. x^2-6x+y^2+8y=24
    13·1 answer
  • Someone please help me, write a variable equation to represent the situation, and solve it by using inverse operations.
    8·1 answer
  • Does anyone on here watch attack on titan??
    6·2 answers
  • If 4x/3 = 8, find out the value of X.
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!