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
nadya68 [22]
3 years ago
12

Which of the following is the product of the rational expressions shown below? 7x/x-4•x/x+7

Mathematics
1 answer:
LiRa [457]3 years ago
5 0
<h2>The product of the rational expressions \dfrac{7x}{x-4}.\dfrac{x}{x+7} = \dfrac{7x^2}{x^2+3x-28}</h2>

Step-by-step explanation:

We have,

\dfrac{7x}{x-4}.\dfrac{x}{x+7}

To find, the product of the rational expressions \dfrac{7x}{x-4}.\dfrac{x}{x+7} = ?

∴ \dfrac{7x}{x-4}.\dfrac{x}{x+7}

= \dfrac{7x.x}{(x-4)(x+7)}

= \dfrac{7x^2}{(x(x+7)-4(x+7)}

= \dfrac{7x^2}{x^2+7x-4x-28}

= \dfrac{7x^2}{x^2+3x-28}

Thus, the product of the rational expressions \dfrac{7x}{x-4}.\dfrac{x}{x+7} = \dfrac{7x^2}{x^2+3x-28}

You might be interested in
Question:4x²-9 <br>answer:​
statuscvo [17]

Step-by-step explanation:

4x^2-9

=(2x)^2 -3^2

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

Hope this helps you.

3 0
3 years ago
Ian's monthly allowance is $21. In January he starts saving for a birthday gift in June. Each month he saves of his allowance. T
Dmitrij [34]

Answer:

<h2>Ian will have enough money to buy the gift</h2>

Step-by-step explanation:

Step one:

given

monthly allowance= $21

from January to June= 6 months

total savings = 21*6= $126

cost of gift = $110

Step two:

Ian will have enough money to buy the gift

since he saved $126 which is greater than the cost of the gift of $110

he would have a balance of $16

4 0
3 years ago
C<br> Solve for m:<br> 3/4m - 3 = 9<br> May I please have help!
MAVERICK [17]

Answer:

m=16

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :  3/4*m-3-(9)=0

Step 1: Simplify 3/4

Equation at the end of step 1: ((3/4 x m) - 3) - 9 = 0

Step2: Subtracting a whole from a fraction

Rewrite the whole as a fraction using  4  as the denominator :

        3     3 • 4

   3 =  —  =  —————

        1       4  

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 :

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:

3m - (3 • 4)                               3m - 12

—————4———————  =  ———4————

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:

 3•(m-16)

 ———————— • 4 = 0 • 4

    4    

Now, on the left hand side, the  4  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  3  •  (m-16)  = 0

6.2      Solve :    3   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solve  :    m-16 = 0

Add  16  to both sides of the equation :

                     m = 16

6 0
2 years ago
Miller has a painting that is 4 ft by 8 ft. What will the dimensions of the painting be if he scales it down by a factor of one-
hram777 [196]
1 ft by 2 ft I believe
4 0
3 years ago
Measure of angle A???
Rudik [331]

Answer:

A

Step-by-step explanation:

The triangle shown has all 3 sides equal in length, hence it is an equilateral triangle.

A property of equilateral triangles is the angles are congruent.

The sum of the 3 angles = 180°, hence the measure of each angle is

\frac{180}{3} = 60° → A


4 0
3 years ago
Read 2 more answers
Other questions:
  • A recursive rule for a geometric sequence is a1=4/9;an=3an−1
    14·2 answers
  • in an election about 500,000 people voted in all which number could be the exact number of people who voted in the election
    6·1 answer
  • what is the solution to the system of equations shien on the graph? A.(0,5) B.(-2,1) C.(0,-1) D.(1,-2)
    14·1 answer
  • What is the radius of 8km
    14·2 answers
  • Park rangers released 12 fish into a pond in year 0. Each year, there were twice as many fish as the year before. How many fish
    8·2 answers
  • Operations on Rational and Irrational Numbers
    14·1 answer
  • On a coordinate plane, line A has a negative slope, line b is horizontal, line c is vertical, and line d has a positive slope.
    13·1 answer
  • Need help ASAP ..... Which of the following pairs best describes a transformation of Figure 1 into Figure 2 followed by a transf
    13·1 answer
  • Find the irrational number. Links or spam will result in reporting.
    12·1 answer
  • Zoe planted a 4-foot oak tree in her backyard. The oak tree is expected to grow by 22 inches each year. If the oak tree grows at
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!