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Law Incorporation [45]
3 years ago
6

F(x) = 3x + 5, g(x) = 6x2 Find (fg)(x).

Mathematics
1 answer:
shepuryov [24]3 years ago
4 0

Answer:

18x² + 5

Step-by-step explanation:

To evaluate f(g(x)), substitute x = g(x) into f(x)

f(g(x))

= f(6x²)

= 3(6x²) + 5

= 18x² + 5

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Given three points A(-7, 1), B(m, 6) and P(-1, n). If the point P divides AB internally in the ratio of 3: 2, find the values of
vesna_86 [32]

Answer:

m = 3 , n = 4

Step-by-step explanation:

<u>Using Section Formula.</u>

<u />If \ the \ line \ segment \ AB \ where  \ A = (x _1, y_1) \ and \ B = (x_2, y_2) \ divided \ by \ P =(x , y) \ in \ the \ ratio \ a : b,\\\\Then \  the \ points \  of \  P  \ \\\\x = \frac{ax_2 + bx_1}{a+b} \ and \ y = \frac{ay_2 + by_1}{a+b}<u />

   Here (x_1 , y_ 1 ) = ( -7 , 1 ) \ and \ (x_ 2 , y _ 2 ) = (m , 6)\\\\ratio\ a:b  = 3 : 2\\\\Therefore, P (x, y) \\\\x = \frac{3m + (2\times -7)}{5} \ \ \ \ \ \ \ \ \ \ \ [ \ x =  -1 \ ] \\\\-1 = \frac{3m - 14}{5}\\\\- 5 = 3m - 14\\\\-5 + 14 = 3m\\\\9 = 3m \\\\m = 3<u />

  y =\frac{3\times 6 + 2 \times 1}{5}\\\\n = \frac{18 + 2}{5} = \frac{20}{5} = 4

<u />

5 0
3 years ago
Which decimal has the greatest value?
cupoosta [38]

Answer:

Answer: D

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
he mean age of bus drivers in Chicago is greater than 54.4 years. If a hypothesis test is performed, how should you interpret a
Natalka [10]

Answer:

There is not sufficient evidence to support the claim μ > 54.4.

Step-by-step explanation:

1) Previous concepts

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".  

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

2) Solution to the problem

On this case we want to test is \mu>54.4 and the system of hypothesi on this case are:

Null Hypothesis: \mu \leq 54.4

Alternative hypothesis:\mu >54.4

On this case is our decision is FAILS to reject the null hypothesis then we can conclude that we don't have enough evidence to support the claim at the significance level provided.  So the correct conclusion would be:

There is not sufficient evidence to support the claim μ > 54.4.

8 0
3 years ago
The ability to find a job after graduation is very important to GSU students as it is to the students at most colleges and unive
sergejj [24]

Answer:

Step-by-step explanation:

Using the formula

p +/- z* √(p(1-p) / n)

Where p is sample proportion = 3226/3957 = 0.8153, n = 3957 and z* is 2.576

0.8153 + (2.576 √(0.8153(1-0.8153) / 3957))

0.8153 + (2.576 √ (0.8153(0.1847) /3957)

0.8513 + (2.576 √(0.1572/3957)

0.8513 + (2.576 √0.00003974)

0.8513 + 2.576(0.0063)

0.8513 + 0.016

0.8670 ~ 87%

For the lower interview

0.8513 - 0.016

= 0.8353 ~ 84%

Thus, at 99% confidence interval is 84% and 87%

7 0
3 years ago
Which title best completes the organizational chart of Maryland government
Misha Larkins [42]

A title which best completes the organizational chart of Maryland government is: A. Voters of Maryland Legislative branch.

<h3>What is an organizational structure?</h3>

An organizational structure can be defined as a strategic process that involves the division of a business firm or an organization into multiple functional units.

<h3>What is an organizational chart?</h3>

An organizational chart is also referred to as an organogram and it can be defined as a diagram that is used to graphically represent the hierarchical structure of a business firm or an organization and the relationships of all the jobs or positions within it.

<h3>The types of an organizational chart.</h3>

In Business management, there are four (4) main types of organizational chart and these include the following:

  • Functional top-down chart
  • Flat chart
  • Divisional chart
  • Matrix chart

In this scenario, we can infer and logically deduce that a title which best completes the organizational chart of Maryland government is "Voters of Maryland Legislative branch."

Read more on organizational chart here: brainly.com/question/1078082

#SPJ1

Complete Question:

Which title best completes the organizational chart of Maryland government?

A. Voters of Maryland Legislative branch

B. Voters of Maryland Judicial branch

C. Voters of Maryland Judges branch

D. Voters of Maryland Courts branch

7 0
2 years ago
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