help me with math pleaseee

If you know your derivative rules, then

d/dx [1/x] = -1/x ²

so that when x = 6, the derivative has a value of -1/36.

If you have to use the definition of the derivative, then

d/dx [1/x] = lim {h → 0} (1/(x + h) - 1/x) / h

… = lim {h → 0} (x - (x + h)) / (hx (x + h))

… = lim {h → 0} (-h) / (hx (x + h))

… = lim {h → 0} (-1) / (x (x + h))

… = -1/x ²

and at x = 6, you again get -1/36.

Alternatively, use the definition of the derivative at a point:

d/dx [1/x] (6) = lim {x → 6} (1/x - 1/6) / (x - 6)

… = lim {x → 6} ((6 - x) / (6x)) / (x - 6)

… = lim {x → 6} -(x - 6) / (6x (x - 6))

… = lim {x → 6} (-1) / (6x)

… = -1/36

Answer:

8% per year

Step-by-step explanation:

............

Answer:

The model is [tex]P(t) = 2000(1.075)^{t}[/tex].

There will be 4122 fish in 10 years.

Step-by-step explanation:

Exponentially increasing population:

An exponentially increasing population can be represented by the following model:

[tex]P(t) = P(0)(1+r)^t[/tex]

In which P(t) is the population after t years, P(0) is the initial population, and r is the growth rate, as a decimal.

A population of 2000 fish increases at an annual rate of 7.5%.

This means that [tex]P(0) = 2000, r = 0.075[/tex]

So

[tex]P(t) = P(0)(1+r)^t[/tex]

[tex]P(t) = 2000(1+0.075)^t[/tex]

[tex]P(t) = 2000(1.075)^{t}[/tex]

This is the model.

How many fish will there be in 10 years?

This is P(10).

[tex]P(t) = 2000(1.075)^{t}[/tex]

[tex]P(10) = 2000(1.075)^{10} = 4122[/tex]

There will be 4122 fish in 10 years.

Answer:

9[tex]x^{3}[/tex]-x-6

Step-by-step explanation:

Answer:

=9x3−x−6

Step-by-step explanation:

7x3−4x−8+2x3+3x+2

Answer:

4/18, 6/27, 8/36, 10/45, 12/54, 14/63, 16/72, 18/81, 20/90, 22/99 and many more

Step-by-step explanation:

Hope this helpss!!

Answer:

32

Step-by-step explanation:

4 to the third power is 64

(7-3) = 4

*2

64/4*2 = 32

Hope this helps

Answer:

-3

Step-by-step explanation:

can you mark me brainliest

Answer:

x=-3

Step-by-step explanation:

14-4x=26

-14       -14

-4x=12

/-4    /-4

x=-3

Answer:

6-18y-9x

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Answer:

first method

subtract 5 from both side

2x + 5 -5 = 12 - 5

:. 2x = 7

:. X= 2

7

divide 2 from both side

X= 2x 7

2 2

:. X= 3.5

second method

2x = 12 - 5

2x = 7

X= 2 ÷ 7

:. X= 3.5

Answer:

Corresponding angles:

E=P

F = Q

G=R

H=N

Corresponding side:

EF=PQ

GH=RN

FG=QR

EH=PN

Step-by-step explanation:

Just match them=)

Answer:

no

Step-by-step explanation:

Answer:

16 is bigger.

Step-by-step explanation:

This about it like this: The bigger the root numeral the higher.

Answer: One way is by putting on background music. Heroic music makes the audience feel exited.

Step-by-step explanation:

Answer:

a laughing track

Step-by-step explanation:

sitcoms are shows like friends, where when something is funny, it plays laughing in the background, essentially telling everyone to laugh becasue something funny just happened

Answer:

The slope of the line is: 1

Step-by-step explanation:

Use the equation

[tex] \frac{y2 - y1}{x2 - x1} [/tex]

Use the two sets of points given to you to slve the equation.

Assign the points their variables:

x1 y1 x2 y2

(4, 4) (8, 8)

Insert the numbers into the equation:

[tex] \frac{8 - 4}{8 - 4} [/tex]

Simplify:

[tex] \frac{4}{4} = 1[/tex]

Answer:

La D

Step-by-step explanation:

porque la variable de divide

Answer:

x=79,y=63 I have solve it in above picture

Answer: She will owe $12.50 at the end of the week, and her account balance will be -12.50 dollars.

Step-by-step explanation:

A school week is 5 days. If Ms. Ortiz borrows $2.50 every day, then we will have to multiply 2.50 by 5 to find how much Ms. Ortiz owes at the end of the week.

2.50 x 5 = 12.5, or $12.50.

Therefore, Ms. Ortiz owes $12.50 at the end of the week, and her account balance will be -12.50.

Answer:

4 and 4.1

Step-by-step explanation:

because sqrrt17 is about 4.123 (memmorized) and it's rounded down to 4 and down to 4.1

Answer: No

15.09 is greater than 12.63

Answer:27/40

Step-by-step explanation:

7/8-1/5  

35/40-8/40=27/40

Answer:

x = 23.5

Step-by-step explanation:

x is the midsegment theorem of the trapezoid given.

Based on the midsegment theorem of a trapezoid, thus:

x = (7 + 40)/2

x = 47/2

x = 23.5

Answer:

2 Blocks

Step-by-step explanation:

Answer:2/3

Step-by-step explanation: 2 blocks apart so just 1/3 times 2=2/3

Answer:

22 meters

Step-by-step explanation:

If the penguin goes from 15 meters above sea level to sea level (0 meters), they traveled 15 meters in elevation.

Then they traveled another 7 meters when going 7 meters below sea level.

15 + 7 = 22

Hope this helps :)

Answer:

2624

Step-by-step explanation:

30 * 64 = 1920

64 * 22 (1/2) = 704

1920 + 704 = 2624

i hope this helps, good luck :)

Answer:Then 16x = 240, and x = 240/16 = 15. It will take 15 minutes to travel 12 miles.

Step-by-step explanation:

16 miles     =  12 miles

20 mins.        how many mins?

16    =   12       cross multiply       16? = 240   divide by 16     240 divided by 16 = 15 miles

20          ?                                                                                because 15 x 16 = 240

Answer:

It will take 15 minutes to travel 12 miles.

Step-by-step explanation:

Write and solve an equation of ratios:

16 miles     20 min

-----------  = -----------

12 miles          x

Then 16x = 240, and x = 240/16 = 15.