<span>x2 − 8x + 16
= (x - 4)(x - 4)
= (x - 4)^2</span>
Photographing stars requires you to keep your exposure open for a long time. Taking pictures of star trails would take about 30 minutes to three hours. If you multiply that for the 6 stars stated above in the problem then you would be needing that much time if the stars were close and approximately 3 to 18 hours capture their star trails if they were far apart from each other.
The function is (-x+3)/ (3x-2) and we get f(1)=1 and differentiation is f'(x)=-7/ (9x²- 12x+4).
Given that,
The function is (-x+3)/ (3x-2)
We have to find f(1) and f'(x).
Take the function expression
f(x)= (-x+3)/ (3x-2)
Taking x as 1 value
f(1)= (-1+3)/(3(1)-2)
f(1)=2/1
f(1)=1
Now, to get f'(x)
With regard to x, we must differentiate.
f(x) is in u/v
We know
u/v=(vu'-uv')/ v² (formula)
f'(x)= ((3x-2)(-1)- (-x+3)(3))/ (3x-2)²
f'(x)= ((-3x+2)-(-3x+9))/ 9x²- 12x+4
f'(x)=(-3x+2+3x-9)/ 9x²- 12x+4
f'(x)=2-9/ (9x²- 12x+4)
f'(x)=-7/ (9x²- 12x+4)
Therefore, The function is (-x+3)/ (3x-2) and we get f(1)=1 and differentiation is f'(x)=-7/ (9x²- 12x+4).
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Th coffee seller must have sold 130 coffee case but for him to make at least $3650, he must've sold 131 cups of coffee
Data;
- monthly salary = $3500
- commission = $12
- amount due for commission = $100
- cost of coffee = $25
- total amount = $3650
<h3>Word Problem</h3>
These are verbal expressions used to represent mathematical problems and if we want to solve them, we must translate them into equations.
If his total pay is $3650 and he earns a commission of $12 for every $100 coffee sold.
How many coffee case are inside $100
This shows that for every 4 coffee case sold, she made ($100 + $12) as profit.
If 4 coffee = $112
how many coffee will give us $3650
From the calculations above, he must've sold at least 131 cups of coffee to make $3650.
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