What is equation to find 24÷8

Using continuity concepts, it is found that the function is left-continuous at x = 1.

-------------------------------

A function f(x) is said to be continuous at x = a if:

• If only , the function is left-continuous.

• If only , the function is right-continuous.

-------------------------------

The piece-wise definition of the function is:

We have to check the continuity at the points in which the definitions change, that is, x = 0 and x = 1.

-------------------------------

At x = 0:

• The definition at 0 is
• Approaching x = 0 from the left, we have values less than 0, thus:

• Approaching x = 0 from the right, we have values greater than 0, thus:

Since the limits are equal, and also equal to the definition at the point, the function is continuous at x = 0.

-------------------------------

At x = 1:

• The definition at 1 is

• Approaching x = 1 from the left, we have values less than 1, thus:

• Approaching x = 1 from the right, we have values greater than 1, thus:

To the right, the limit is different, thus, the function is only left continuous at x = 1.

A similar problem is given at brainly.com/question/21447009

Answer:

the function is continuous from the left at x=1 and continuous from the right at x=0

Step-by-step explanation:

a function is continuous from the right , when

when x→a⁺ lim f(x)=f(a)

and from the left when

when x→a⁻ lim f(x)=f(a)

then since the functions presented are continuous , we have to look for discontinuities only when the functions change

for x=0

when x→0⁺ lim f(x)=lim  e^x = e^0 = 1

when x→0⁻ lim f(x)=lim  (x+4) = (0+4) = 4

then since f(0) = e^0=1 , the function is continuous from the right at x=0

for x=1

when x→1⁺ lim f(x)=lim  (8-x) = (8-0) = 8

when x→1⁻ lim f(x)=lim e^x = e^1 = e

then since f(1) = e^1=e , the function is continuous from the left at x=1

Final answer:

The electric generator has an efficiency of approximately 66.67%, which means that 66.67% of the input energy is converted into usable electrical power.

Explanation:

The question wants to know about the efficiency of an electric generator. The efficiency of any engine or generator is defined as the ratio of useful energy output to the energy input. In this case, the energy input to the generator is 120 hp (horsepower) and the useful energy output (i.e electrical power) is 80 hp.

The formula used to calculate the efficiency is: Efficiency = (useful energy output / energy input) * 100% , Using this formula, the efficiency of the generator would be (80 / 120) * 100% = 66.67 % .

This means that 66.67% of the energy supplied to the generator is successfully converted into electrical power, while the rest is likely lost as heat or other forms of non-usable energy.

Learn more about Generator Efficiency here:

brainly.com/question/28815607

#SPJ12

Answer:

I just think it out in my head

The fractions is solved and the improper fraction is A = 29/8

Given data ,

To change 3 5/8 into an improper fraction, we need to combine the whole number and the fraction part.

The fraction part, 5/8, can be expressed as an improper fraction by multiplying the whole number, 3, by the denominator of the fraction, 8, and then adding the numerator, 5. This gives us:

3 * 8 + 5 = 24 + 5 = 29

The denominator remains the same, so the improper fraction is:

A = 29/8

Therefore , the value of A = 29/8

Hence , 3 5/8 can be expressed as the improper fraction 29/8

To learn more about fractions click :

brainly.com/question/29766013

#SPJ6

Answer:

The improper fraction 29/8 is equal to the mixed number 3 5/8.

Step-by-step explanation: