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]
3 years ago
6

I am not sure how to slove

Mathematics
1 answer:
notsponge [240]3 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
In a population, as n approaches k, the logistic growth equation predicts that:
NARA [144]
Do you have answer choices? 
6 0
3 years ago
Write the equation in standard form 4x-3=5y
just olya [345]

4x-3=5y

it would be : 4x - 5y = 3

8 0
3 years ago
Read 2 more answers
Solve the quadratic equation by factoring: 15x^2+4x-4=0
joja [24]
We can factor by grouping. To do so, we multiply the leading coefficient with the constant at the end. In other words, a times c (ax^2 + bx + c).

15*-4 = -60

Now we need to split the b term into two pieces that multiply to -60 and add to 4.

-6 and 10 will work.

Now group one part of b with the 15x^2 and the other part with -4.

(15x^2 + 10x) + (-6x - 4)

Now factor both terms.

5x(3x+2) - 2(3x+2)

3x+2 is one of our factors and 5x-2 is the other.

(3x+2)(5x-2)=0

Now just find the zeros.

3x+2 = 0
3x = -2
x = -2/3

And

5x-2 = 0
5x = 2
x = 2/5

So the answer is x = -2/3 and x = 2/5






7 0
3 years ago
Brainers, please help me out. Thanks
quester [9]

The Pythagorean Theorem is a^2 + b^2 = c^2 where a and b are the sides and c is the hypotenuse.

From the picture you have a = 10 and c = 15.

Now you have:

10^2 + b^2 = 15^2

Simplify:

100 + b^2 = 225

Subtract 100 from both sides:

b^2 = 125

Take the square root of both sides:

b = √125

b = 11.2

6 0
3 years ago
If the dimensions of a triangle are cut in half, then the new perimeter is one fourth of the original perimeter. TrueFalse
kykrilka [37]
False the new perimeter is half of the original.
4 0
3 years ago
Other questions:
  • Pls help me and don't ignore this:
    6·1 answer
  • It takes the chef 3 hours to bake a turkey.
    14·2 answers
  • Use long division to divide 2x4 - 9x3 - 18x2 + 16x + 5 by x2 - 6x + 1. What is the remainder?
    12·1 answer
  • The product 3.09 x 304.87 =?
    7·2 answers
  • 8<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B12%7D%20%20%20%3D%20%20%5Cfrac%7Bx%7D%7B13%7D%20%20-%209" id="TexForm
    6·1 answer
  • Please help with this, need the answer ASAP, please explain your reasoning for both of these!
    11·2 answers
  • Please help me with My algebra. I'm stressing a lot right now so Thank you.
    9·1 answer
  • Can someone help me with this it's due today​
    7·1 answer
  • Which of the following fractions is nearest to 1/2
    8·1 answer
  • answer plsss answer plss
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!