Answer:
I am sorry I don't onow
Step-by-step explanation:
Answer by BlueSky06
The equation described above can also be written as, y = -x² + 100x + 4000To get the number of notebooks that will give them the maximum profit, we derive the equation and equate to zero. dy/dx = -2x + 100 = 0The value of x from the equation is 50. Then, we substitute 50 to the original equation to get the profit. y = -(50^2) + 100(50) + 4000 = 6500Thus, the maximum profit that the company makes is $6,500/day.
Read more on Brainly.com -
brainly.com/question/3586459#readmore
Solve for x:
-3 (3 x + 15) - (x + 10) = 35
-3 (3 x + 15) = -9 x - 45:
-9 x - 45 - (x + 10) = 35
-(x + 10) = -x - 10:
-9 x + -x - 10 - 45 = 35
Grouping like terms, -x - 9 x - 45 - 10 = (-9 x - x) + (-45 - 10):
(-9 x - x) + (-45 - 10) = 35
-9 x - x = -10 x:
-10 x + (-45 - 10) = 35
-45 - 10 = -55:
-55 - 10 x = 35
Add 55 to both sides:
(55 - 55) - 10 x = 55 + 35
55 - 55 = 0:
-10 x = 35 + 55
35 + 55 = 90:
-10 x = 90
Divide both sides of -10 x = 90 by -10:
(-10 x)/(-10) = 90/(-10)
(-10)/(-10) = 1:
x = 90/(-10)
The gcd of 90 and -10 is 10, so 90/(-10) = (10×9)/(10 (-1)) = 10/10×9/(-1) = 9/(-1):
x = 9/(-1)
Multiply numerator and denominator of 9/(-1) by -1:
Answer: x = -9
Answer:
(-21, 16)
Step-by-step explanation:
A is at (-33, 0) and B is at (0, 44),
A point that divides the line segment in a ratio of 4:7 also divides the differences of the x-and y-coordinates in the same ratio.
If we divide each distance into 11 equal parts and choose a length 4/11 of the distance, the other part will be 7/11 of the distance. The two parts will be in a ratio of 4:7.
For the x-coordinate,
x₂ - x₁ = 0 - (-33) = 0 + 33 = 33
(4/11) × 33 = 12
-33 + 12 = -21
The x-coordinate of M is (-21, 0).
For the y-coordinate,
y₂ - y₁ = 44 - 0 = 44
(4/11) × 44 = 16
0 + 16 = 16
The y-coordinate of M is (0, 16).
The coordinates of M are then (-21, 16).
The diagram below shows the point M that divides AB in a 4/7 ratio.
