Factor 8x+16y+44 i offered up 15 points
2 answers:
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Answer:
The number of supervisor in the factory is 9 .
Step-by-step explanation:
Given as :
The ratio of workers to supervisors and factories 32 : 2
let the number of workers = 32 x
And The number of supervisors = 2 x
The ratio of male workers to female workers is 6:5
Let The number of male workers = 6 y
And The number of female worker = 5 y
The number of female workers at the plant = 80
So, 5 y = 80
∴ y =
I.e y = 16
So, The number of male workers = 6 y = 6 × 16 = 96
Thus The Total number of worker in the factory = The number of male workers + The number of female workers at the plant
Or, The Total number of worker in the factory = 96 + 80 = 146
Now , Again
∵ The ratio of workers to supervisors in factories 32 : 2
So, The number of workers = 32 x
I.e 146 = 32 x
∴ x = = 4.5
So, The number of supervisors = 2 x = 2 × 4.5 = 9
Hence The number of supervisor in the factory is 9 . Answer
Answer:
a) 6x²/2x³-4
b)
Step-by-step explanation:
a) Given the ln(2x³-4). We will use the chain rule in differentiating the function
If y = ln(2x³-4);
u = 2x³-4; du/dx = 3(2)x³⁻¹
du/dx = 6x²
y = ln u; dy/du = 1/u
According to chain rule, dy/dx = dy/dy*du/dx
dy/dx = 1/u * 6x²
dy/dx = 1/2x³-4 * 6x²
dy/dx = 6x²/2x³-4
Hence, the derivative of the given function is 6x²/2x³-4
b) Given an integral function , the integral problem can be solved using integration by substitution method as shown below;
From the question, let y = 2x³-4... 1, dy/dx = 6x²
dx = dy/6x² ... 2
Substituting equation 1 and 2 into the question given;