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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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Simplify the following expression.
Rzqust [24]

Step-by-step explanation:      

<u>Step 1: Add the numbers: 9.5 +6.2 = 15.7</u>

=8.6\left(15.7-3.5^2\right)

3.5^2=12.25

=8.6\left(15.7-12.25\right)

<u>Step 2: Subtract the numbers: 15.7 - 12.25 = 3.45</u>

= 3.45X 8.6

<u>Step 3: Multiply the numbers: 8.6 × 3.45 = 29.67</u>

<u />=29.67<u />

<u />

- To solve this equation, the first step is to add the numbers 9.5 + 6.2 into the equation and it will lead to 15.7 as the number for step one.

- To solve this equation, the second step is to subtract the numbers 15.7 - 12.25 into the equation and it will lead to 3.45 as the answer.

- To solve this equation, the third step is to multiply the numbers 8.6 x 3.45 into the equation and it will lead 29.67 as the final answer for the whole equation.

Answer:      

=29.67

 

Hope this helps.

3 0
2 years ago
Tami spins a spinner with seven sections. The sections are
tia_tia [17]

Answer:

B

Step-by-step explanation:

if all sides are equal and there are 7 sides than each side has and equal opportunity to be landed on.

5 0
3 years ago
Read 2 more answers
Write -4i+(1/4-5i)-(-3/4+8i)+17i as a complex number in the standard for
KatRina [158]

Answer:

1+ 0i

Step-by-step explanation:

A complex number is a number which has some real part and some imaginary part.

Standard form of a complex number is represented as

a +bi

Where a is the real part,

and bi is the imaginary part.

And i = \sqrt{-1}

Given complex number:

-4i+\dfrac{1}{4}-5i)-(-\dfrac{3}{4}+8i)+17i\\\Rightarrow -4i+\dfrac{1}{4}-5i + \dfrac{3}{4}-8i+17i\\\Rightarrow  \dfrac{3}{4}+\dfrac{1}{4}-4i -5i-8i+17i\\\Rightarrow  \dfrac{3+1}{4}-17i+17i\\\Rightarrow \dfrac{4}{4}+0i\\\Rightarrow 1 + 0i

Hence, the standard form is 1+ 0i.

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A cylinder has a diameter of 8 inches and a volume of 1287 cubic inches. What is the height of
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Answer:

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Step-by-step explanation:

the answer is rounded and pi was 3.14 to solve this

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Answer:

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