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
Serjik [45]
3 years ago
13

H(x)= (x^2 -36)/x +6 explain why the following function is not continuous at x=-6

Mathematics
1 answer:
sergeinik [125]3 years ago
8 0

You can solve this problem through factoring.

First, you have the equation,

h(x) = \frac{x^2-36}{x-6}

Then, you can factor the numerator.

h(x) = \frac{(x+6)(x-6)}{x-6}

You can cancel out the x-6 in both the numerator and the denominator because they would equal to just 1.

You are left with h(x) = x+6

The function is removable noncontinuous at x=6 because if you plug in 6 in x-6, your denominator would be undefined.

You might be interested in
What is the y-intercept of y = –3x + 6?
tankabanditka [31]
The Answer Is -3(x-2)
5 0
3 years ago
Read 2 more answers
Willing to give brainliest to the best answer! Please show your work! Need help with these 3 problems ASAP!
vampirchik [111]

Answer:

5:05

6

10

Step-by-step explanation:

3:30 + 1 hour = 4:30

4:30 + 35 mins = 5:05 pm

5 days per 1 gallon, 30 days for :

30/5 = 6

500/50 = 10

4 0
3 years ago
Which equations represent the line that is parallel to 3x − 4y = 7 and passes through the point (−4, −2)? Check all that apply.
jonny [76]
First, we find the slope of the given line.

<span>3x − 4y = 7

-4y = -3x + 7

y = (3/4)x - 7/4

The slope of the given line is 3/4.
The slope of the parallel line is also 3/4.

Now we need the equation of the line that has slope 3/4 and passes through point (-4, -2),

We use the point-slope form of the equation of a line.

y - y1 = m(x - x1)

y - (-2) = (3/4)(x - (-4))

y + 2 = (3/4)(x + 4)     <---- check option E. Is the fraction 3/4 not there?

y + 2 = (3/4)x + 3

y = (3/4)x + 1

4y = 3x + 4

3x - 4y = -4    <------ this is choice B.
</span>
8 0
3 years ago
(for my sister, again) what does 3.75 + blank = 2.685
uranmaximum [27]
 the answer is -1.065
3 0
3 years ago
Read 2 more answers
If sin =1/2then show that 3cos -4cos^3=0z
Katarina [22]

Step-by-step explanation:

ever coner should have a value.... for example sinA or cos$

please check the question again

7 0
3 years ago
Other questions:
  • Can you tell me how to divide more easily? ❤️
    15·2 answers
  • If the interior angle of a polygon is 170 how many sides does it have
    14·1 answer
  • Which line is parallel to the line given below?
    6·2 answers
  • CAN YOU SIMPLIFY 4/7?<br><br> !!Urgent!!<br><br> 24 points will be awarded!
    13·2 answers
  • How do i simplify this 16x–18x–10
    7·2 answers
  • Siena draws a map of her flower garden. She wants to plant roses 6 feet away from the marigolds and 5 feet away from the lavende
    6·1 answer
  • Which pair shows equivalent expressions?
    8·2 answers
  • It would be lovely if you answered this (97 points)
    5·2 answers
  • Solve for x. -5(3x + 6) = -3(4x - 2) You must show your work.
    8·2 answers
  • 5 tenths + 8 hundreths
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!