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3 years ago

6

Find the difference quotient of the exponential function, f(x) = e^x

1 answer:

Orlov [11]3 years ago

5 0

Answer:

Step-by-step explanation:

The difference quotient in general looks like

$\frac{f(x+h)-f(x)}{h}$ Sometimes the symbol "delta x" $\Delta x$ is used instead of h.

For the exponential function, the difference quotient is

$\frac{e^{x+h}-e^x}{h}$

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A researcher surveys job satisfaction among laborers and white-collar workers. (Job satisfaction is rated on a scale from 1 =

Free_Kalibri [48]

Answer:

Option A is the answer

Step-by-step explanation:

From the question we are told that

The mean of laborers is 3

The standard deviation is 1

The mean of white collar workers is 7

The standard deviation for white collar workers is 3.16

From this value given we can see that the white collar worker is more dissatisfied than the laborers

Also the from the value of standard deviation of the laborers we see that the deviation from the mean is 1 which means that they are equally dissatisfied

But in the case of white collar workers we see deviation from the mean is very high which implies that the dissatisfaction varies more with white collar workers

3 0

3 years ago

The diagonal of a cube is 28 cm. Identify the length of an edge. Round to the nearest tenth, if necessary. HELP PLEASE!!

makkiz [27]

Answer:

$16.2\ cm$

Step-by-step explanation:

we know that

The diagonal of a cube is equal to

$D=b\sqrt{3}$

where

b is the length of an edge of the cube

we have

$D=28\ cm$

substitute

$28=b\sqrt{3}$

$b=28/\sqrt{3}=16.2\ cm$

8 0

4 years ago

Please help i will give you brainliest and every yhing

Lina20 [59]

first subtract the last equation from the first. this gives:-

-x + y = -8 .....................(1)

Then multiply the first equation by 2 and add it to the 2nd equations This gives

9x = 18

so x = 2

and from equation (1) y = -8 + 2 = -6

Substituting for x and y in the second equation

z = (24 -5(2) -12) / 2 = 1

Answer is choice b.

7 0

3 years ago

James has 858 feet of rope. There are 18 teams of hikers.

belka [17]

48 feet
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6 0

3 years ago

Read 2 more answers

The level of a lake in inches is falling linearly . The lake level is 452 inches on Jan 1 and then 378 inches on Jan 21. Find a

Marysya12 [62]

Answer:

$y=-\frac{74}{21}x+452$

Step-by-step explanation:

Given:

The level of a lake is falling linearly.

On Jan 1, the level is 452 inches

On Jan 21, the level is 378 inches.

Now, a linear function can be represented in the form:

$y=mx+b$

Where, 'm' is the rate of change and 'b' is initial level

$x\to number\ of\ days\ passed\ since\ Jan\ 1$

$y\to Lake\ level$

So, let Jan 1 corresponds to the initial level and thus b = 452 in

Now, the rate of change is given as the ratio of the change in level of lake to the number of days passed.

So, from Jan 1 to Jan 21, the days passed is 21.

Change in level = Level on Jan 21 - Level on Jan 1

Change in level = 378 in - 452 in = -74 in

Now, rate of change is given as:

$m=\frac{-74}{21}$

Hence, the function to represent the lake level is $y=-\frac{74}{21}x+452$

Where, 'x' is the number of days passed since Jan 1.

8 0

3 years ago