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3 years ago

What is the output of the function f(x) = x + 21 if the input is 4? When the input is 4, the output of f(x) = x + 21 is

2 answers:

8 0

To find the output when you know the input, just plug the input into the function.

x+21=4+21=25

The output is 25.

Hope this helps!

nalin [4]3 years ago

7 0

The answer is

hope that helps

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Think of a situation in the real world where a relationship occurs between two sets. For example, I could list several different

Alla [95]

Answer:

See Explanation

Step-by-step explanation:

Required

Determine if a real life situation is a function or not

I will give 2 instances

(1) Students and their ID

The relationship is as follows:

Student 1 -----> ID-1

Student 2 -----> ID-2

Student 3 -----> ID-3

Student 4 -----> ID-4

---------

----

Student n -----> ID-n

The above is a function because every student has a unique student ID.

In fact, the relation is a one-on-one function because no two students will have the same ID

(2) People and their year of birth

The relationship is as follows:

Person 1 -----> 2000

Person 2 -----> 2001

Person 3 -----> 2002

Person 4 -----> 2001

---------

----

Person n -----> 2005

The above is not a function because there is a possibility that a more than one person will have the same year of birth.

8 0

3 years ago

Value of the derivative of g(x)=8-10Cosx at 'x=0' is?

VLD [36.1K]

Answer:

g'(0) = 0

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Function Notation

Pre-Calculus

Unit Circle

Calculus

Derivatives
Derivative Notation
The derivative of a constant is equal to 0
Derivative Property: $\frac{d}{dx} [cf(x)] = c \cdot f'(x)$
Trig Derivative: $\frac{d}{dx} [cos(x)] = -sin(x)$

Step-by-step explanation:

Step 1: Define

g(x) = 8 - 10cos(x)

x = 0

Step 2: Differentiate

Differentiate [Trig]: g'(x) = 0 - 10[-sin(x)]
Simplify Derivative: g'(x) = 10sin(x)

Step 3: Evaluate

Substitute in x: g'(0) = 10sin(0)
Evaluate Trig: g'(0) = 10(0)
Multiply: g'(0) = 0

3 0

3 years ago

Evaluate -11 + (-19) + 11.

amm1812

The answer to your question is -19

4 0

3 years ago

A mixture of 5 pounds of fertilizer A, 13 pounds of fertilizer B, and 4 pounds of fertilizer C provides the optimal nutrients fo

marishachu [46]

Answer:

x = 2; y = 3; z = 1

Step-by-step explanation:

For the first fertilizer (A) we can form the equation:

y + 2z = 5

For the second fertilizer (B) we can form the equation:

x + 2y + 5z = 13

For the third fertilizer (C) we can form the equation:

x + 2z = 4

solving simulteneously:

y = 5 - 2z

x = 4 -2z

Substituting (i) and (ii) into (2)

4 - 2z + 10 -4z + 5z = 13

14-z =13, therefore z = 1

substituting z into (i) and (ii)

y = 3

x = 2

5 0

3 years ago

a circle with a radius of 1 cm sits inside a 3cm x 3cm rectangle. What is the area of the shaded region (the rectangle is shaded

masha68 [24]

Answer:

The area of the shaded region is $5.86\ cm^{2}$

Step-by-step explanation:

we know that

The area of the shaded region is equal to the area of the rectangle minus the area of the circle

The rectangle is a square

$A=b^{2} -\pi r^{2}$

we have

$b=3\ cm$

$r=1\ cm$

assume

$\pi =3.14$

substitute the values

$A=3^{2} -(3.14)(1)^{2}$

$A=5.86\ cm^{2}$

5 0

3 years ago

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