4 years ago

Find the derivative using the definition of: F(x)=sqrt(x-2)

Mathematics

1 answer:

uranmaximum [27]4 years ago

3 0

Answer:

Step-by-step explanation:

F(x)=√(x-2)

F'(x)=1/(2√(x-2))

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The formula below is used to convert a tempreture in degrees Farenheit,F to a tempreture in degrees Celsuis ,C.C = 5/9 (f-32) Wh

spayn [35]

Answer:

4.4 degrees C.

Step-by-step explanation:

C = 5/9 (F - 32)

When F = 40:

C = 5/9( 40 - 32)

= 5/9 * 8

= 40/9

= 4.4 degrees C,

6 0

2 years ago

Indicate a general rule for the nh term of this sequence.<br> 12a, 15a, 18a, 21a, 24a,...

adelina 88 [10]

Answer:

The general rule for the nth term of this sequence will be:

$a_n=3na+9a$

Step-by-step explanation:

Given the sequence

12a, 15a, 18a, 21a, 24a,...

An arithmetic sequence has a constant difference 'd' and is defined by

$a_n=a_1+\left(n-1\right)d$

Here,

a₁ = 12a

computing the differences of all the adjacent terms

d = 15a-12a = 3a, d = 18a-15a=3a, d=21a-18a=3a, d=24a-21a=3a

using the nth term formula

$a_n=a_1+\left(n-1\right)d$

substituting a₁ = 12a, d = 3a

$a_n=12a+\left(n-1\right)3a$

$=12a+3na-3a$

$=3na+9a$

Therefore, the general rule for the nth term of this sequence will be:

$a_n=3na+9a$

6 0

3 years ago

A rectangle is 4 units long and 2 units wide. What is its area?

Marrrta [24]

rectangle area = l * w

2 * 4 =

8 units²

4 0

3 years ago

Y = 3x<br> 5x + 2y = 44

faltersainse [42]

Answer:

x=4

Step-by-step explanation:

since Y is 3x, then substitute the y with 3x which is 2*3x=5x and then plus the 5x which is 11x in total which equals to 44 (11x=44) then divide that you get: x=11.

7 0

3 years ago

What 2 numbers multiply to -31 and add to 1

olga_2 [115]

31 is a prime number so none

6 0

3 years ago