Let x and y be two positive numbers whose sum is 175 and (x+3)(y+4) is a maximum
1 answer:
Answer:
Step-by-step explanation:
x+y = 175
y = 175 - x
f(x) = (x+3)(y+4)
= x(175-x) + 3(175-x) + 4x + 12
= 175x - x² + 525 - 3x + 4x + 12
= -x² +176x + 537
f'(x) = -2x + 176
maximum when x = 88
y = 175-x = 87
You might be interested in
Answer:
#1
Step-by-step explanation:
Hope this helps! <3
Answer:
0.2
Step-by-step explanation:
0.002 x 10 as it is 1/10 of the size
Answer:
221640
Work:
516090/4 -129,022.5
221640/4-55,410
814550/4- 203,647.5
Answer: 
Step-by-step explanation:
Vertical Angles states that 9x+27=117
Supplementary Angles states that 117+z=180
![9x+27=117\\Subtract (27)\\9x=90\\Divide(9)\\\left[\begin{array}{c}x=10\end{array}\right] \\\\117+z=180\\Subtract(117)\\\left[\begin{array}{c}z=63\end{array}\right]](https://tex.z-dn.net/?f=9x%2B27%3D117%5C%5CSubtract%20%2827%29%5C%5C9x%3D90%5C%5CDivide%289%29%5C%5C%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%3D10%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%5C%5C117%2Bz%3D180%5C%5CSubtract%28117%29%5C%5C%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dz%3D63%5Cend%7Barray%7D%5Cright%5D)
<em>Hope it helps <3</em>
Answer: <em>I think its no correlation; the dots are scattered...</em>