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
Fynjy0 [20]
2 years ago
6

I am not sure how to slove

Mathematics
1 answer:
notsponge [240]2 years ago
5 0

First .... the limit of the given function is NOT EQUAL to 5 (it diverges so it has no limit).  There is a typo.  The 14 should be positive.

\lim_{x \to\ 7} \bigg(\dfrac{x^2-9x+14}{x-7}\bigg)=5

The precise definition of a limit is:

\text{If for every } \epsilon>0\text{ there exists a }\delta >0\text{ such that}\\|f(x)-L|

Given:

f(x) = \dfrac{x^2-9x+14}{x-7}\\\\L=5\\\\a=7\\\\\\|f(x)-L|

⇒ \epsilon = \delta

When ε = 0.1,     δ = 0.1

When ε = 0.01,   δ = 0.01

You might be interested in
State if the two triangles are congruent. If they are, prove by using a two column proof!!!
Goshia [24]

Answer:

Step-by-step explanation:

There are four axioms to prove the triangles are contruent.They are

SSS(side side side axiom)

SAS(side angle side axiom)

AAS(angle angle side axiom)

ASA(angle side angle axiom)

RHS (right angle hypotenuse side axiom)

here two triangles are congruent by RHS axiom

3 0
2 years ago
If f(x)f(x) is an exponential function where f(4.5)=23f(4.5)=23 and f(8)=42f(8)=42, then find the value of f(5.5)f(5.5), to the
nydimaria [60]

Answer:

f(5.5)≈27.32

Step-by-step explanation:

5 0
2 years ago
Given the Quadratic, determine the value of the discriminant.<br> 2x2 – 3x – 20 = 0
Andrews [41]
2x2-3x-20=0
4-3x-20=0
2-20=-16
-3x-16=0
-3x=16
x= -5.33333
I think i did it right. i hope this helps.
4 0
3 years ago
Find the volume of a cylinder if the radius is 12 inches and the height is 17 inches
Alex Ar [27]

Answer:

Volume of the cylinder = 7686.72\,inches^3

Step-by-step explanation:

Radius(r) of the cylinder= 12\,inches

Height(h) of the cylinder= 17\,inches

Volume of a cylinder is :

                   \pi \times r^2\times h

As,

          \pi =\dfrac{22}{7}=3.14

Volume is:  

            =3.14\times (12\times 12)\times 17\\\\=3.14\times 144 \times 17\\\\=3.14\times 2448\\\\=7686.72\,inches^3

The volume of the cylinder is: 7686.72\,inches^3                    

3 0
3 years ago
There are 4 red marbles, 5 green marbles, 6 yellow marbles and 3 blue marbles in a bag. You select one marble at random. What is
steposvetlana [31]

Answer:

The probability can be written as;

6/18

0.333

33.3%

Step-by-step explanation:

First we find the total number of marbles.

4 + 5 + 6 + 3 = 18

Now write the probability in the form of (favourable outcomes / possible outcomes), or 6/18.

Now let's divide.

6 ÷ 18 = 0.33333333... repeating decimal

0.333 × 100 = 33.33333.....%

We can also round this to 33%

4 0
3 years ago
Other questions:
  • What is the equivalent for a 6.5 x * x + 5 .5 x + 1
    5·1 answer
  • You score an 84 on the first of two exams. Write and solve an equation to find the score x that you need on the second exam to h
    9·1 answer
  • Manila walked 4 miles an hour and arrived home in 30 minutes. Her sister ran 6 miles an hour, how long did it take for her to ge
    14·1 answer
  • How many times larger is 5.4x10^15 than 9.0x10^3?
    11·1 answer
  • The population of Clairette
    6·1 answer
  • A fast food restaurant offers eight different sandwiches, two kinds of French fries, three types of salad, three different desse
    13·1 answer
  • Solve for u . = 81/u=3
    6·2 answers
  • Name the property of the equation illustrates. -2.1 x 1 = -2.1
    13·2 answers
  • Mr. Salazar was making a BBQ brisket. The brisket weighed 4 pounds. How many ounces did the brisket weigh?
    8·1 answer
  • 27. In the figure, AFJD, BGFE, CHGA, DIHB and EJIC are straight lines.<br> Find a + b + C + d + e.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!