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3 years ago

1 1 o A. 8× 2 / 2 . B. 3x O O c. 8 x 27 / O D. 2x 000

Mathematics

1 answer:

gregori [183]3 years ago

4 0

Step-by-step explanation:

what ? nothing makes any sense here.

please read your problem statement again and type it here again, letter by letter, digit by digit, symbol by symbol.

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The function below is defined for all x except one value of x. If possible, define f(x) at the exceptional point in a way contin

Nataliya [291]

Answer:

F(x=11)= (-31)

Step-by-step explanation:

for the function

F(x) = x² - 13*x + 22/x-11 , for x ≠ 11

then in order to define F(x=11) so F is continuous (see Note below) . By definition of continuity of a function:

F(x) is continuous in x=11 if lim F(x)=F(a) when x→a

then

when x→a , lim x² - 13x + 22/x-11 = lim 11² - 13*11 + 22/11 -11 = -3*11 + 2 = -31 = F(x=11)

then

F(x=11)= (-31)

Note:

F is not continuous in all x since

when x→0⁺ , lim (0⁺) ² - 13*0⁺ + 22/0⁺ -11 = (+∞)

when x→0⁻, lim (0⁻) ² - 13*0⁻ + 22/0⁻ -11 = (-∞)

then

limit F(x) , when x→0 does not exist since the limit from the left and from the right do not converge → since the limit does not exist , the function is not continuous in x=0

5 0

4 years ago

A consultant has three sources of income—from teaching short courses, from selling computer software, and from advising on proje

Amanda [17]

Answer:

Mean = $79,000

Standard deviation = $25,000

Step-by-step explanation:

Data provided in the question:

Expected annual incomes:

From teaching short courses = $7,000

From selling computer software = $22,000

From advising on projects = $50,000

Standard deviation:

teaching short courses = $3,000

selling computer software = $4,000

advising on projects = $18,000

Now,

it is given that the events are independent

therefore,

Mean = ∑(Expected annual income)

Mean = $7,000 + $22,000 + $50,000

Mean = $79,000

also,

Standard deviation = ∑(standard deviation)

Standard deviation = $3,000 + $4,000 + $18,000 = $25,000

8 0

3 years ago

You use a garden hose to fill a wading pool. If the water level rises 11 centimeters every 6 minutes and you record the data poi

irina1246 [14]

Answer:

$y=22\ cm$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Let

x -----> the number of minutes

y ----> the water level in centimeters

In this problem we have a proportional relationship between the variables x and y

Find the value of k

For x=6 min, y=11 cm

$k=11/6$ -----> the slope is equal to the constant of proportionality k

The linear equation is

$y=(11/6)x$

For (12,y)

we have

x=12 min

substitute in the equation and solve for y

$y=(11/6)12$

$y=22\ cm$

8 0

3 years ago

Charley and Sarah went to the candy store.

Pepsi [2]

Answer:

rtt6655r55

Step-by-step explanation:

4 0

4 years ago

Light travels at 186,000 miles per second. Light takes about 11⁄3 seconds to travel from the earth to the moon. Calculate the di

elena55 [62]

Light travels at 186,000 miles per second. Light takes about 11⁄3 seconds to travel from the earth to the moon. Calculate the distance between the earth and the moon based on the speed of light.

First of all we must multiply the speed of light by the time it takes to travel to the from here to the moon. The quantity is 682,000 miles.

Hope I helped!

6 0

4 years ago