All categories

3 years ago

Write an equation that expresses the fact that a function f is continuous at the number 4.

1 answer:

5 0

<span>Use the definition of continuity.
A function is continuous at a point x = a iff
lim [x → a] f(x) = f(a)

In other words, a function is continuous at a point if its value is equal to its limit at that point.

So, for f(x) to continuous at x = 4 we must have
lim f(x) = f(4)
x → 4

</span>

You might be interested in

Just a question from a written Unit Test.

Rama09 [41]

Answer:

Step-by-step explanation:

mark me brilliant

plzzz

5 0

3 years ago

Answer the following questions:

timama [110]

Answer:

Question 1: 76 dollars. ($76)

2. 1/5

3. 1/19

4. 1/5

Step-by-step explanation:

QUESTION 1:

228 (the amount Mrs. Nicci had) divided by 3 (children) is equal to 76

228/3 = 76

QUESTIONS 2, 3, AND 4.

2. Find the greatest common divisor (GCD). the GCD of 14 and 70 is 14. Then, divide the numerator and denominator by 14.

14/14 = 1

70/14 = 5

WHICH EQUALS 1/5!!

3. Find the greatest common divisor (GCD). the GCD of 5 and 95 is 5. Divide both the numerator and denominator by 5.

5/5= 1

95/5= 19

WHICH EQUALS 1/19!!

4. Find the greatest common divisor (GCD). the GCD of 12 and 60 is 12. So (like we have been doing for the whole part of this question), divide both the numerator and denominator by 12, which is the GCD.

12/12 = 1

60/12 = 5

WHICH EQUALS 1/5!!

Hope this helped.. I think this is like one of the longest Brainly answers I've recently had to type lol

4 0

2 years ago

What is the solution to 3/(2x+1) = 9/3x?

Scorpion4ik [409]

Answer:

Solution x = - 1

Step-by-step explanation:

3 / (2x+1) = 9 / 3x

Cross multiply

3(3x) = 9(2x + 1)

Distributive property

9x = 18x + 9

Subtract 18x from both sides

-9x = 9

Divide both sides by -9

x = -1

7 0

3 years ago

Crane Company publishes a monthly sports magazine, Fishing Preview. Subscription to the magazine cost $30 per year. During Novem

lesya692 [45]

Journal entry

Explanation:

Books of (----Limited)

Journal Entry

<u>Date Account Title and Explanation Debit Credit </u>

Cash / Bank A/c Dr. $750,000

To Unearned Subscription A/c $750,000

(Being Unearned Subscription)

Computation:

Amount of Unearned Subscription = 25,000 × $30

Amount of Unearned Subscription = %750,000

5 0

2 years ago

Find the measures of the supplementary angles that satisfy each case.

seropon [69]

Answer:

67.5°, 107.5°

Step-by-step explanation:

For supplementary angles, their sum equals 180°.

Let x be the first angle and y be the second angle, then

x + y = 180°.

It is given that x = y + 45°.

So x + y = 180°

substituting x into the equation, we have

y + 45° + y = 180°

simplifying, we have

2y + 45° = 180°

collecting like terms, we have

2y = 180° - 45°

2y = 135°

dividing through by 2, we have

y = 135°/2

y = 67.5°

Since y = 67.5°

then x = y + 45°

x = 67.5° + 45°

x = 107.5°

3 0

3 years ago