The value of f·g is the product of f(x) and g(x). This is shown below,
f·g = (3x + 2)(7x +6)
f·g = 21x² + 32x + 12
The domain of the function is the value of x that would make the function reasonable. The domain is all real numbers.
Let same number of hours = x,
since the salary earned is also the same, then
Salary of supervisor A = $25x
Salary of supervisor B = $20(30)+$30(x-30)
Equating
25x=600+30(x-30)
30x-25x=900-600
5x=300
x=60 hours
Check:
Salary of supervisor A = 25*60=1500
Salary of supervisor B = 20*30+30*(60-30)=600+900=1500, ok.
31/18 is the answer.
To solve, find the common denominator. In this case, I used 54. You need to multiply each fraction to get 54 on the denominator of both.
Answer:
A sample size of at least 531 is required.
Step-by-step explanation:
We are lacking the confidence level to solve this question, so i am going to use a 90% confidence level.
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
So it is z with a pvalue of 
, so 
Now, find the margin of error M as such
In which 
is the standard deviation of the population and n is the size of the sample.
Find the required sample size for the new study.
A sample size of at least n is required.
n is found when 
We have that 
So
Rounding up
A sample size of at least 531 is required.
Answer: option <span>C. A garage door is 6 feet wider than it is tall. The area of one side of the garage door is 146 square feet.
Justification:
Call x the height of the garage door.
Then, the width is x + 6
And the area of one side is height * width = x (x + 6) = x^2 + 6x
That is equal to 146 feet^2
=> x^2 + 6x = 146
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