The factors of 8 are 1, 2, 4, and 8.
The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.
The largest factor that is in both these lists is 8, therefore, the greatest common factor os 8 and 24 is 8.
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Answer:
Step-by-step explanation:
If the profit realized by the company is modelled by the equation
P (x) = −0.5x² + 120x + 2000, marginal profit occurs at dP/dx = 0
dP/dx = -x+120
P'(x) = -x+120
Company's marginal profit at the $100,000 advertising level will be expressed as;
P '(100) = -100+120
P'(100) = 20
Marginal profit at the $100,000 advertising level is $20,000
Company's marginal profit at the $140,000 advertising level will be expressed as;
P '(140) = -140+120
P'(140) = -20
Marginal profit at the $140,000 advertising level is $-20,000
<u>Based on the marginal profit at both advertising level, I will recommend the advertising expenditure when profit between $0 and $119 is made. At any marginal profit from $120 and above, it is not advisable for the company to advertise because they will fall into a negative marginal profit which is invariably a loss.</u>
Find the time it will take:
195 miles / 50 miles per hour = 3.9 hours.
1 hour = 60 minutes:
0.9 hours x 60 = 54 minutes.
3.9 hours = 3 hours and 54 minutes.
Add 3 hours and 54 minutes to the time it leaves:
3:30 pm + 3 hours = 6:30 PM
6:30 + 54 minutes = 7:24 PM
Answer:
height is 4ft.
Step-by-step explanation:
I used pathagorus theorem .All explaination is in the pic below.
X(x + 3) + 34 = (x + 5)(x + 2)
First, expand to remove parentheses.
Second, add '2x + 5x' to get '7x'.
Third, cancel out '

' on both sides.
Fourth, subtract '3x' from both sides.
Fifth, subtract '7x - 3x' to get '4x'.
Sixth, subtract '10' from both sides.
Seventh, subtract '34 - 10' to get '24'.
Eighth, divide both sides by '4', leaving the 'x' by itself.
Ninth, since '24 ÷ 4 = 6', simplify the fraction to '6'.
Tenth, switch your sides to get the answer.

Answer:
x = 6