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
mezya [45]
3 years ago
10

Simplify the rational expression.

Mathematics
1 answer:
o-na [289]3 years ago
7 0

Answer:

\large\boxed{\dfrac{x^2-4x-32}{x+4}=x-8}

Step-by-step explanation:

\dfrac{x^2-4x-32}{x+4}=\dfrac{x^2+4x-8x-32}{x+4}=\dfrac{x(x+4)-8(x+4)}{x+4}\\\\=\dfrac{(x+4)(x-8)}{x+4}\\\\\text{canceled}\ (x+4)\\\\=x-8

You might be interested in
A student spends the same amount each week for bus fare in 5 weeks he spends 115 which equation shows his relationship let's= nu
Damm [24]

Let c represent the cost of bus fare per week

                 5c = $115

                    c = $25

The student spends $25 per week for bus fare so the rate is $25

The equation to determine the total cost for "x" number of weeks is:

y = $25x


4 0
4 years ago
Find the value of x in (5,x),(x,14) so that the line line containing them is 7/2.
aivan3 [116]

Answer:

7

Step-by-step explanation:

If what you meant by 7/2 was the slope of the line then we can plug in the two points into the slope formula to get our line:

14-x/x-5 = 7/2

This means that 14 - x = 7 and x - 5 = 2. We can see that 14 -7 = 7 and 7 - 5 = 2,

meaning that the value of x should be 7.

6 0
3 years ago
f(x)=(x+3)(x-4) and g(x)=1/3(x+3)(x-4). the graphs of each are shown here. Which graph represents which polynomial function? exp
zvonat [6]

This is about interpretation of quadratic equation graphs.

<u><em>- The parabola that is continuous represents f(x) = (x+3)(x-4)</em></u>

<u><em>- The parabola that is a broken line represents g(x) = 1/3(x+3)(x-4)</em></u>

<u><em>- This is because calculating their y-intercept respectively corresponds with what is on the graph.</em></u>

  • We are given;

a) f(x) = (x+3)(x-4)

Let us confirm the x-intercept.

x-intercept here is when y = 0.

Thus, at y = 0; x + 3 = 0 and x - 4 = 0

Thus, at y = 0; x = -3 and y = 4

  • Let's now find the y-intercept;

y-intercept occurs when x = 0

Thus; y - intercept = (0 + 3)(0 - 4)

y - intercept = -12

  • Looking at the graph given, the only one that has it's y-intercept as -12 is the graph that has a continuous line.

  • This means the other graph that has dashed line would represent the other polynomial g(x)=1/3(x + 3)(x - 4)

Read more at; brainly.in/question/18896888

4 0
3 years ago
If the tire is flat, then I will have to change it. Using the statement above, first state your variables in terms of p and q an
pishuonlain [190]
Let
p="The tire is flat"
q="I will have to change it"

The statement in symbolic form is 
p->q   means if p is true, then q, or
<span>"If the tire is flat, then I will have to change it."

</span>
6 0
4 years ago
This is a list of names randomly selected to form the jury pool.
meriva
<span>The term for the list of names randomly selected to form the jury pool is </span><span>venire.

Venire is </span>a<span> writ issued by a judge to a sheriff directing the summons of prospective jurors. Also called venire facias . The panel of prospective jurors from which a jury is selected.</span>
7 0
3 years ago
Other questions:
  • What is solution to 3/5=x/10
    13·1 answer
  • (Y-1/4)-(y-4/5)=(y+4/10)-1
    6·2 answers
  • What is the value of x?
    14·2 answers
  • The width of a rectangular swimming pool is 12 meters less than the length, and the perimeter is 72 meters. Find its dimensions
    14·2 answers
  • Help Help Help ! Math wiz
    6·1 answer
  • Find the coordinates of the point (a,b). a=?
    13·1 answer
  • I need help asap i will give brainlist
    5·1 answer
  • 2/3 divided by 4/pls help me find the answer Asap
    7·1 answer
  • Urgent<br>due in 5 min<br>plss helppp​
    13·2 answers
  • The surface of an office desk has a perimeter of 20 feet and an area of 21 square feet. what are the dimensions of the desk?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!