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
A farmer needs to ship 71 pumpkins to a grocery store if each crates can hold 19 pumpkins how many crates Will the farmer need ?
Lesechka [4]

Answer:

The farmer will need 7 crates.

Step-by-step explanation:

<em>It is given that there are 71 pumpkins in total.</em>

<em>And each crate holds 19 pumpkins.</em>

Let the number of crates required be<em> "n".</em>

The total number of pumpkins can be calculated by multiplying number of pumpkins in each crate with total number of crates.

Thus, the equation is

19(n) = 71

n = \frac{71}{19} = 7

Thus, the farmer needs 7 crates to hold total of 71 pumpkins.

3 0
3 years ago
Find the x and y-intercepts of the following:
svet-max [94.6K]

Answer:

x-intercept (-3,0); y-intercept (0,12)

Step-by-step explanation:

To find the x-intercept --> y should equal 0

8x-2(0)=-24 substitute

8x=-24 divide

x=-3 (-3,0)

To find they-intercept --> x should equal 0

8(0)-2y=-24 substitute

-2y=-24 divide

y=12 (0,12)

5 0
2 years ago
If a person walks 1/4 mile in 10 minutes, how far will that person walk in one hour?
Pani-rosa [81]

Answer:

one and a half or 1/2 hours

8 0
3 years ago
Read 2 more answers
HELP ASAP!!! (The problem is on a screenshot)
Darina [25.2K]

The correct answers are A, D, and E.

7 0
3 years ago
Taylor runs a smoothie shop and is in placing his order for a week.Each week he needs to have 2 gallons of pineapple juice and 4
Goryan [66]

Answer:

For pineapple juice

He need 160 more ounces of pineapple juice.

For orange juice

He needs 352 ounces more of orange juice.

Step-by-step explanation:

1 liquid gallon = 4 liquid quarts

1 liquid quart = 32 fluid ounces

Taylor runs a smoothie shop and is in placing his order for a week.

We are told that:

Each week he needs to have

a) For pineapple juice

2 gallons of pineapple juice

We convert these to quarts and ounces

1 gallons = 4 quarts

2 gallons = 2 × 4

= 8 quarts of pineapple juice

If he already has 3 quarts of pineapple juice

She needs: 8 quarts - 3 quarts

= 5 quarts

Converting these to ounces

1 liquid quart = 32 fluid ounces

5 quarts = x

Cross Multiply

=5 × 32 fluid ounces

= 160 fluid ounces

2) For orange juice

She needs to have 4 gallons of orange juice on hand

We convert these to quarts and ounces

1 gallons = 4 quarts

4 gallons = 4 × 4

=Hence she needs to have: 16 quarts of pineapple juice

If he already has 5 quarts of orange juice

She needs: 16 quarts - 5 quarts

= 11 quarts more

Converting these to ounces

1 liquid quart = 32 fluid ounces

11 quarts = x

Cross Multiply

=11 × 32 fluid ounces

= 352 fluid ounces

8 0
3 years ago
Read 2 more answers
Other questions:
  • 235million in standard form
    10·2 answers
  • 18 is the geometric mean between 4 and 9. <br> A.) True<br> B.) False
    15·2 answers
  • Ann and Betty together have $60. Ann has $9 more than twice Betty's amount.How much money does each have?
    8·1 answer
  • Describe two reason why cadaver stories are so important to students.
    15·1 answer
  • What are these two answers,explanation needed
    12·2 answers
  • 100% I don´t really understand this so plz help me
    7·2 answers
  • SOMEONE PLEASE HELP ASAP, THANK YOU SO MUCH
    10·1 answer
  • If u see this forget it, I typed it in the wrong spot
    9·1 answer
  • How do you simplify a fraction with a denominator of a variable like this <br> 6x/x
    13·1 answer
  • Can you help me please​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!