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 GCF of 24a^3 b and 36ab^2?<br><br> 2ab<br> 4a^3b<br> 12ab<br> 72a^3b^2
Oksi-84 [34.3K]
12ab will be the right answer.

Since 24a^3 = 12ab(2a^2)

And 36ab^2 = 12ab(3b)
6 0
3 years ago
Read 2 more answers
A rectangular prism has a length of 2 y, a width of 3 y, and a height of 5 y. If the volume of the prism is 10,290 units, what i
inessss [21]

Answer:

y=7

Step-by-step explanation:

2x7=14

3x7=21

5x7=35

14x21x35=10,290

6 0
3 years ago
How many packages of hamburger buns and meat patties should you buy to sell at a baseball tournament?
Mandarinka [93]
13 packs of meat patties and 16 packs of buns
4 0
3 years ago
15 billion in numerals?
Leokris [45]
A billion has 9 zeros. So
15,000,000,000
:)
4 0
3 years ago
Read 2 more answers
Describe order of operation and give an example
ryzh [129]

Order of Operation is commonly referred to as PEMDAS, an acronym for "Please excuse my dear aunt Sally," which references the order in which operations should  be calculated when solving a math problem.

P = parentheses

E = exponent

M = multiply

D = divide

A = add

S = subtract

So you don't always have all of these components, but you consider the ones present in the problem in front of you.    If there is no multiplication, but there is division and a set of parentheses, then you FIRST solve what's inside the parentheses, then  you divide.    If you have some examples, I'll show you.


6 0
3 years ago
Read 2 more answers
Other questions:
  • George's total points is 5 less than susan's total points. Does geroge need more points or fewer susan points?
    15·1 answer
  • Please help‼️‼️
    14·1 answer
  • when you perform a transformation of a figure on the coordinate plane,the input of the transformation is called
    11·1 answer
  • How do I simplify this expression<br> 3(4+3r)
    9·2 answers
  • Sam found 24 seashells. Steve also found some. They found 67 seashells altogether. How many seashell did Steve found.
    6·1 answer
  • Use the given information to find the length of a circular arc. Round to two decimal places.the arc of a circle of radius 11 inc
    8·2 answers
  • Write the following as a single power of 8: (8²)⁵
    9·2 answers
  • MY PFPPPPPPPPPPPPPPPPPPPPPP WHAT HAPPENED!???
    11·2 answers
  • . A grocery store clerk put only packages of flour tortillas and packages of corn tortillas on a shelf. The ratio of the number
    15·1 answer
  • Please dont give me a file
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!