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
OlgaM077 [116]
2 years ago
12

each of exercises 15–30 gives a function ƒ(x) and numbers l, c, and e 7 0. in each case, find an open interval about c on which

the inequality 0 ƒ(x) - l 0 6 e holds. then give a value for d 7 0 such that for all x satisfying 0 6 0 x - c 0 6 d the inequality 0 ƒ(x) - l 0 6 e hol
Mathematics
1 answer:
3241004551 [841]2 years ago
6 0

The given inequality holds for the open interval (2.97,3.03)

It is given that

f(x)=6x+7

cL=25

c=3

ε=0.18

We have,

|f(x)−L| = |6x+7−25|

          = |6x−18|

          = |6(x−3)|

          = 6|x−3|

Now,

6|x−3| <0.18  then |x−3|<0.03 ----->−0.03<x-3<0.03---->2.97<x<3.03

the given inequality holds for the open interval (2.97,3.03)

For more information on inequality click on the link below:

brainly.com/question/11613554

#SPJ4

Although part of your question is missing, you might be referring to this full question: For the given function f(x) and values of L,c, and ϵ0, find the largest open interval about c on which the inequality |f(x)−L|<ϵ holds. Then determine the largest value for δ>0 such that 0<|x−c|<δ→|f(x)−|<ϵ.

f(x)=6x+7,L=25,c=3,ϵ=0.18

 

.

You might be interested in
Find the hypotenuse for a right triangle with legs 8 and 12. Write your answers in simplest exact form
konstantin123 [22]

Answer:4√(13)

Step-by-step explanation:

Adjacent=12

Opposite=8

Hypotenuse=√((adjacent)^2+(opposite)^2)

hypotenuse=√(12^2+8^2)

Hypotenuse=√(12x12+8x8)

Hypotenuse=√(144+64)

Hypotenuse=√(208)

Hypotenuse=√(16x13)

hypotenuse=√(16) x √(13)

Hypotenuse=4 x √(13)

Hypotenuse=4√(13)

7 0
3 years ago
Read 2 more answers
I'll give points and brainalist for answer / explanation
Alika [10]

Answer:

D. 28.26 in²

Step-by-step explanation:

Area of a circle= πr²

r= 3

π= 3.14

A= (3.14)(3)²

A= 28.26 in²

5 0
3 years ago
Beginning with the equation 2x + 8y = 12, write an additional equation that would create:
kramer

Answer:

[see below]

Step-by-step explanation:

A system of equations with no solution would show parallel  lines. We just have make a equation that is parallel to the original equation.

The slope of 2x + 8y = 12 is -\frac{1}{4}, and it's y-intercept is \frac{3}{2}.

Since parallel lines have the same slope but not the same y-intercept, I would use y=-\frac{1}{4}x+3.

Any equation that has -1/4 as the slope would work.  

When graphed together, they show as a system with no solution.

Hope this helps.

3 0
3 years ago
MULTIPLYING COMPLEX NUMBERS
Elenna [48]

Answer:

(3 - 2i)(4 + 1)

=3(4 + 1 ) +(-2i)(4 + 1)

=3(4 + 1 ) -2i(4 + 1)

=12 + 3 -8i - 2i

= 15 - 10i

5 0
3 years ago
What’s the solution for both 2x+y=4 and y=3x-1
never [62]

Answer:

x=2 --  y/2    y=3x - 1

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • During the day, the temperature in Nome, Alaska rose 35 degrees. The low temperature for that day is -22 degrees. What was the h
    13·2 answers
  • What is 15-4x=-10-11x
    7·2 answers
  • Two parallel lines are crossed a transversal . What is the value of k
    11·2 answers
  • The distance between the two cities is about 920,000 meters. If the train travels at a speed of 230 kilometers per hour, how lon
    11·1 answer
  • What's the missing number?
    8·2 answers
  • What is the slope of the line that contains the coordinate points (8,3) And (-2,7)?
    7·2 answers
  • Rewrite 16/16 as a whole number
    6·2 answers
  • The segments shown below could form a triangle,
    9·1 answer
  • Five times the difference of a number and 3 is 15
    5·1 answer
  • Solve : <br>4² ( 4³ )<br>with work shown ​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!