If g left parenthesis x right parenthesis equals 36 x squared minus 36 and h left parenthesis x right parenthesis equals 65 x,
then solve g left parenthesis x right parenthesis greater than h left parenthesis x right parenthesis .
1 answer:
Given
g(x) = 36x² -36
h(x) = 65x
Find
x such that g(x) > h(x)
Solution
We can start by substituting the given information into the required relation.
36x² -36 > 65x
Subtracting the right side and factoring gives
36x² -65x -36 > 0
(9x +4)(4x -9) > 0
The product of these factors will be greater than zero when both factors are negative or both are positive. They change sign at x = -4/9 and x = 9/4. Hence, the solution is
x < -4/9 or 9/4 < x
g(x) = 36x² -36
h(x) = 65x
Find
x such that g(x) > h(x)
Solution
We can start by substituting the given information into the required relation.
36x² -36 > 65x
Subtracting the right side and factoring gives
36x² -65x -36 > 0
(9x +4)(4x -9) > 0
The product of these factors will be greater than zero when both factors are negative or both are positive. They change sign at x = -4/9 and x = 9/4. Hence, the solution is
x < -4/9 or 9/4 < x
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Answer:
The manual cost that will take to recreate by the firm is $ 90.51
Step-by-step explanation:
Given:
Number of words the manual contains= 16000
Number of words typed by a clerk in one hour and 20 minutes = 4160
To Find:
The total cost for recreating the manual = ?
Solution:
Step 1: Finding the Number of hours is need to type 4160 words :
= hours
hours
hours
So it takes hours to type 4160 word
Step 2 : Finding the Number of hours is needed to type 1 word
=
=
= 3120 words per hour
Step 3 : Finding the Number of hours is needed to type 16000 words
=
Substituting the values
=
= 5.1282 hours
Step 4 : Finding the cost for recreating the manual.
= number of hours x cost per hour
= 5.1282 x $17.65
= 90.51