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
vagabundo [1.1K]
3 years ago
11

Which graph represents the function of f(x) = 9x 2 -36/3x+6 Please help

Mathematics
1 answer:
UkoKoshka [18]3 years ago
6 0
The function is:

             (9x^2 - 36)
f(x) = ---------------------
                3x + 6

You can simplify that function to a linear function for all x for which 3x + 6 ≠ 0

=> x ≠ - 2.

So, for x ≠ - 2, you can do:


             (9x^2 - 36)
f(x) = --------------------- =
               3x + 6

              9(x^2 - 4)
f(x) = ---------------------
                3(x + 2)

             3(x + 2)(x - 2)
f(x) = --------------------- = 3(x - 2) = 3x - 6
                 (x + 2)

So, the graph is a right line that intercepts the y-axis at - 6 and the x-axis at x = 2, excluding x = -2 as the function is not defined for x = -2. That is the second graph of the second picture.


You might be interested in
Need some math help!!! <br> Factor the polynomial by grouping: 12p^3 − 21 p^2 + 28p − 49
Andru [333]

Answer:

\left(4p-7\right)\left(3p^2+7\right)

Step-by-step explanation:

12p^3-21p^2+28p-49

\left(12p^3-21p^2\right)+\left(28p-49\right)

7\left(4p-7\right)

3p^2\left(4p-7\right)

7\left(4p-7\right)+3p^2\left(4p-7\right)

\left(4p-7\right)\left(3p^2+7\right)

8 0
3 years ago
Read 2 more answers
F(x)=16x^4-81=0 select all zeros of the function !!!
atroni [7]

Answer:

3/2, -3/2, (if it is asking for imaginary solutions as well then 3i/2 and -3i/2)

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
How many inches are in 1 mile? (5280ft = 1mi; 12in = 1ft)
7nadin3 [17]

1 mile * 5280 ft * 12 in = 63360 in

There are 63360 inches in one mile

4 0
3 years ago
Read 2 more answers
Please help!!!!!!!!!!
Gnoma [55]

Answer:

The surface of the prism is 84m²

Step-by-step explanation:

You have 4 figures here (two the same triangles)

you need to determine the surface of each and then sum it to one. This will be your final surface.

rectangles:

3*6= 18m²

5*6 = 30m²

4*6 = 24m²

triangles:

You need to determine the square of the triangles from the Heron's formula.

Heron's formula states that the area of a triangle whose sides have lengths a, b, and c is

S=\sqrt{s(s-a)(s-b(s-c)},

where s is the semi-perimeter of the triangle; that is,

s=\frac{a+b+c}{2}.

So the permimeter of the triangle is

2p=4+5+3 = 12m

p = 6m

S = \sqrt{p*(p-a)*(p-b)*(p-c)}  = \sqrt{6*(6-3)*(6-4)*(6-5)}  = \sqrt{6*3*2*1} =\sqrt{36} =6[m^{2} ]

So the surface of the prism is a total sum of all surfaces:

P = 18m²+30m²+ 24m²+2*6m² = 84m²

6 0
3 years ago
(8)<br>slope?<br>y-intercept?<br>(9)<br>slope?<br>y-intercept?​
klasskru [66]
8: slope is 1/2 and y intercept is 0

9: slope is 7/4 and y-intercept is 0
8 0
2 years ago
Other questions:
  • hree vertices of a rectangle are given. Find the coordinates of the fourth vertex. (–2, 4), (4, 0), (2, –3)
    15·1 answer
  • How to find the length of AB
    10·2 answers
  • What is 9. 24 repeating as a mixed number in simplest form?
    9·1 answer
  • Can anyone help me with #3 on this please
    12·1 answer
  • Mr. Evans displays the test scores of his first period class in the box plot below.
    13·2 answers
  • (1 x 106) - (8 x 109)<br> How do I solve it
    14·2 answers
  • Can someone plz help me
    14·2 answers
  • Steven’s new cell phone plan charges a flat monthly fee of $24. The plan allows an unlimited number of text messages, but each m
    9·1 answer
  • Pls help me i just need help
    11·1 answer
  • 1. Henri cut a rope into two pieces with lengths having a ratio of 5 to 2. The shorter piece is
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!