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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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A right square pyramid has a slant height of 10 feet, and the length of a side
kotykmax [81]

Step-by-step explanation:

take the base square. find the diagonal

16^2+16^2 = 2*16^2= d^2

d= 16√2

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6 0
2 years ago
Which of these is the algebraic expression for the verbal expression "ten times the difference of a number and twelve?" can some
GenaCL600 [577]

Answer:

10(x - 12)

Step-by-step explanation:

10(x - 12)

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5 0
2 years ago
-2(x + 2) = -2x ++ 5x -1
earnstyle [38]

Answer:

-⅗ = x

Step-by-step explanation:

Here is what you get when you distribute the -2 on the left side of the equivalence symbol and combine like-terms on the right side of the equivalence symbol:

-2x - 4 = 3x - 1

Here is the solution:

-2x - 4 = 3x - 1

-3x -3x

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

-5x - 4 = -1

4 +4

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

-5x = 3

----- -----

-5 -5

x = -⅗

I am joyous to assist you anytime.

8 0
3 years ago
4.5w = 5.1w - 30<br><br> Please help!!!
Lelu [443]
4.5w = 5.1w - 30

4.5w - 5.1w = -30

-0.6w =-30

Divide both sides by -0.6

-0.6w/-0.6 = -30/-0.6

<span>w = 50

</span>I hope this helps.
6 0
3 years ago
ΔCDE is reflected over the x-axis. What are the vertices of ΔC'D'E' ?
sattari [20]

Answer:

B.

Step-by-step explanation:

When reflecting over the x-axis:

(x, y) (x, -y)

The y changes signs (+, -)

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2 years ago
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