X- (input) Y- (output) oot Is this mapping a function and how can you tell

2. The functions ???? and ???? represent the population of two different kinds of bacteria, where x is the time (in hours) and ?

klio [65]

Answer:

(a) Bacterial 1 had a faster rate of growth.

(b) The population of f(x) always exceed the population of g(x). In other words, population of g(x) cannot exceed the population of f(x).

Step-by-step explanation:

Consider the given functions are

$f(x)=2x^2+7$

$g(x)=2x$

where, x is the time (in hours) and f(x) and g(x) are the number of bacteria (in thousands).

(a)

The rate of change of a function f(x) on [a,b] is

$m=\frac{f(b)-f(a)}{b-a}$

Rate of change between third and sixth hour of first function is

$m_1=\frac{f(6)-f(3)}{6-3}$

$m_1=\frac{(2(6)^2+7)-(2(3)^2+7)}{6-3}$

$m_1=\frac{79-25}{3}$

$m_1=\frac{54}{3}$

$m_1=18$

Rate of change between third and sixth hour of second function is

$m_2=\frac{g(6)-g(3)}{6-3}$

$m_2=\frac{2(6)-2(3)}{6-3}$

$m_2=\frac{12-6}{3}$

$m_2=\frac{6}{3}$

$m_2=2$

Since $m_1>m_2$ , therefore bacterial 1 had a faster rate of growth.

(b)

The initial population of f(x) is 7 and it increases exponentially.

The initial population of g(x) is 0 and it increases linearly.

It means population of f(x) always exceed the population of g(x).

In other words, population of g(x) cannot exceed the population of f(x).

8 0

3 years ago

Please help and explain how

azamat

18, 42, and 27. they were all times by 2

7 0

3 years ago

Box D and Box E are made from unit cubes of the same size.

Dominik [7]

Answer:

Box E has a greater volume than Box D.

Step-by-step explanation:

Step 1 : Find the volume of Box D.

The formula for volume of a rectangular prism such as this is

height * width * depth

Knowing this, let's substitute the values.

3 * 5 * 1 = 15

The volume of box d is 15 cubic units.

Step 2 : Find the volume of Box E.

height * width * depth

4 * 4 * 1 = 16

The volume of box e is 16 cubic units. Therefore box E has a greater volume than box D.

8 0

3 years ago

Neena just earned her bachelor’s degree. based on her qualifications and desire for the highest pay scale, which career would sh

Lilit [14]

Based on Neena's qualifications and desire for the highest pay scale, she would be best suited for a supply chain manager career.

<h3>Who is a supply chain manager?</h3>

A supply chain manager ensures the movement of goods, from manufacturers and suppliers to the ultimate customer.

A supply chain manager oversees and manages the production flow:

Raw materials acquisition
Production logistics
Delivery logistics.

A supply chain manager requires the following skills:

Business Management
Leadership
Transportation
Manufacturing production and processes
Customer service
Personal relationships
Analytical skills.

Thus, based on Neena's qualifications and desire for the highest pay scale, she would be best suited for a supply chain manager career.

Learn more about supply chain management at brainly.com/question/18793688

#SPJ1

5 0

2 years ago

When building a house, the number of days required to build varies inversely with the number of workers. One house was built in

mixer [17]

Answer: 152 days

Step-by-step explanation:

5 0

3 years ago

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