Answer:
the woman has to live 1 mile from work to minimize the expenses
Step-by-step explanation:
Given the data in the question;
the distance within 9 miles ⇒ 0 < x > 9
Total costs Q = cx + 4c/( x + 1)
costs should be minimum ⇒ dQ/dx = 0
⇒ d/dx [ cx + 4c/( x + 1) ] = 0
⇒ ( x + 1)² = 4
take square root of both side
√[ ( x + 1)² ] = √4
x + 1 = 2
x = 2 - 1
x = 1
Therefore, the woman has to live 1 mile from work to minimize the expenses
Answer:
$412.50
Step-by-step explanation:
15% of 2750 = 0.15 × 2750 = 412.5
When Deshawn installs a shelf bracket, the width of the shelf that will fit without overhang will be 3 inches.
<h3>How to calculate the width?</h3>
From the complete information, the other two sides have been given as 4 inches and 5 inches.
The Pythagoras theorem will be used in this case and it goes thus:
4² + Width² = 5²
Width² = 5² - 4²
Width² = 25 - 16
Width² = 9
Width = ✓9
Width = 3
In conclusion, the width is 3 inches.
Learn more about width on:
brainly.com/question/25292087
There’s only one solution. Solution is the same as x or x intercepts so it would be one at (2,0)
Answer:
(3,4) is the solution of both equations.
Step-by-step explanation:
The given equations are :
3x – 2y = 1 ....(1)
4y = 7+3x
4y-3x = 7 .....(2)
Put x = 3 and y = 4 in equation (1).
3(3) – 2(4) = 9-8
= 1
So, (3,4) is the solution of the equation (1).
Again put x = 3 and y = 4 in equation (2).
4(4)-3(3) = 16-9
= 7
Hence, (3,4) is the solution of both equations.
