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LiRa [457]
3 years ago
13

Given f of x equals 5 times x minus 6 for x less than 3, equals x squared for x between 3 and 5 inclusive, and equals 2 times x

plus 15 for x greater than 5 find f '(x) and give its domain.
Mathematics
1 answer:
konstantin123 [22]3 years ago
7 0

Answer:

<em>D. 5 for x less than or equal to 4, equals 2x for x between 4 and 6 including 6, and equals 4 for x greater than 6 Domain: All real number</em>s.

Step-by-step explanation:

Find the complete diagram attached

First we need to get the derivative of the functions

For the function f(x) = 5x - 6

Using the formula

If f(x) = axⁿ

f'(x) = naxⁿ⁻¹

For the function f(x) = 5x - 6

f'(x) = 1(5)x¹⁻¹

f'(x) = 5x⁰

f'(x) = 5

For the function f(x) =x²-2

f'(x) = 2x²⁻¹

f'(x) = 2x

For the function f(x) = 4x+10

f'(x) = 1(4)x¹⁻¹

f'(x) = 4x⁰

f'(x) = 4

Get the domain

The domain is the value of the input variable x for which the functions exists. For the functions given, the domain will be on all real numbers i.e the functions will exists for any value of x on the number line.

Hence Option D is correct

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PLEASE HELP ASAP
Lerok [7]

Answer:

A) 2(9x - 2)

Step-by-step explanation:

The greatest common factor of 18x and -4 is 2.

B is wrong because 18 is not the greatest common factor of both, since 4 cannot be divided by 18 and result in a whole number.

C is wrong because 18x cannot be divided by 4 to produce a whole number.

D is wrong because it restates the problem in a different way, therefore not factoring it completely. 1 is a common factor of both, but not the greatest.

4 0
2 years ago
If f(x)=√x+12 and g(x)=2√x, what is the value of (f – g)(144)?
BaLLatris [955]
I hope this helps you

3 0
3 years ago
Describe a real-world situation that can be modeled by the function y=2x-3.
lara [203]

Yes you have a good example.

x = number of cookies

2*x = total amount spent on cookies at $2 each

2x-3 = amount you pay after the $3 discount is applied one time for the entire order

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

a more numeric example may be this

Lets say you bought 12 cookies, so x = 12

This means it costs 2*x = 2*12 = 24 dollars total if the discount doesnt apply

However, the 3 dollar discount is there, so the grand total is 24-3 = 21 dollars.

3 0
3 years ago
Choose whether each sum is positive or negative.
igomit [66]
Negative
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Negative
8 0
3 years ago
The Rawlins family has travelled 600 km on their vacation. This has taken them 8 hours. If they continued at the same rate, how
spin [16.1K]

Answer:

B. 28 hours

Step-by-step explanation:

GIVEN :- <em>Time taken by family to travel 600 km is 8 hours</em>

CALCULATIONS :-

<em>To calculate the time to travel 2100 km, we need to calculate distance traveled in 1 hour</em>

<em>Distance traveled in 1 hour = 600 km ÷ 8</em>

<em>                                              = 75 km</em>

<em>Time required to travel 2100 km = 2100 ÷ 75</em>

<em>                                                         = </em><em>28 hours</em>

Therefore time required to travel 2100 km is 28 hours.


6 0
3 years ago
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