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2 years ago

Find the interval on which the function is continuous

Mathematics

1 answer:

marin [14]2 years ago

6 0

Answer:The function is continuous at all points except where x=-4. The domain of the function can be given by. (-oo, -4)uu(-4, oo) The given ...

Step-by-step explanation:

How do you find what interval a function is continuous?

Image result for find the interval on which the function is continuous example

A function ƒ is continuous over the open interval (a,b) if and only if it's continuous on every point in (a,b). ƒ is continuous over the closed interval [a,b] if and only if it's continuous on (a,b), the right-sided limit of ƒ at x=a is ƒ(a) and the left-sided limit of ƒ at x=b is ƒ(b)

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The sum of 5 consecutive even numbers is 216. What is the third number in the sequence

alexandr1967 [171]

Hello from MrBillDoesMath!

Answer: NO solution possible!

Steps:

Let "n" be the first even number. We are told that

n + (n+2) + (n+4) + (n+6) + (n +8) = 216

The third number, the value we want, is boldfaced above.

Simplify the above equation:

5n + ( 2 + 4 + 6 + 8 ) = 216 or

5n + 20 = 216 or

5n = 196

n = 196/5 is NOT an integer value. This problem, as stated, has no solution.

Regards, MrB

4 0

4 years ago

After 4 days, a plant is measured to be 10 inches tall. Later, after a total of 20 days, then height is measured to be 18 inches

vesna_86 [32]

Given :

After 4 days, a plant is measured to be 10 inches tall.

Later, after a total of 20 days, then height is measured to be 18 inches.

To Find :

The rate of growth for the plant.

Solution :

We know, rate is given by :

$Rat e=\dfrac{\text{Change in height}}{\text{Time taken}}\\\\Rate = \dfrac{18-10}{20-4}\\\\Rate = 0.5 \ inch/day$

Therefore, rate of increase of height is 0.5 inch/day .

Hence, this is the required solution.

7 0

3 years ago

Give 3 names for x intercepts of a quadrants equation

professor190 [17]

Answer:

X-intercepts are also called zeros, roots, solutions, or solution sets.

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Simplifica 2^4 . 2^3

IRINA_888 [86]

Answer:

Step-by-step explanation:

$2^4(2^3)=2^{4+3}=2^7$

4 0

3 years ago

A TV screen has a diagonal length of 156cm, the angle in the top corner is 37◦. Calculate the height of the TV screen

Arte-miy333 [17]

The TV screen is an illustration of a right triangle

The height of the TV screen is 124.6 cm

<h3>How to calculate the height</h3>

The diagonal is given as:

d = 156 cm

The angle at the top is given as:

Angle = 37 degrees

The height is then calculated using the following cosine ratio

$\cos(37) = \frac h{156}$

Make h the subject

$h = 156 * \cos(37)$

Evaluate

h = 124.6

Hence, the height of the TV screen is 124.6 cm