Using translation concepts, the equation of g(x) is given as follows:

<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For this problem, the parent function is given by:

For a horizontal compression by a factor of 1/5, we have to find f(1/5x), hence:

For a vertical stretch by a factor of 7, we have to multiply by 7, hence:

For a reflection in the y-axis, we have to find g(-x), hence:

For a translation of 10 units left, we have to find g(x + 10), hence:

For a translation of 1 unit down, we have to subtract one, hence:

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Answer:
( a ) 99°
( b ) 151°
Step-by-step explanation:
( a )
( 180 - 81 )° = 99°
( b )
( 180 - 29 )° = 151°
You must use distributive property to get 2m+10+48m+8 and then add all like terms. You get 50m+18 as your final answer.
There are 111 faculty members at the college and 629 students at the college.
Step-by-step explanation:
Given,
The student to faculty ratio = 17:3
Total number of 740.
Let,
x be the original number.
Number of students = 17x
Number of faculty = 3x
Number of students + Number of faculty = 740

Dividing both sides by 20

Number of students = 17x = 17*37 = 629
Number of faculty = 3x = 3*37 = 111
There are 111 faculty members at the college and 629 students at the college.
Keywords: ratio, multiplication
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