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madam [21]
3 years ago
12

If X varies directly as 2n+1, and n=4 when x=6, find n when x=18

Mathematics
2 answers:
DedPeter [7]3 years ago
7 0
X=2n+1     x=6   n=4
6=2 times 4 +1=9
6=9 and since 18 divided by 6=3, then n=9 times 3 which equals to 27

               n=27
Triss [41]3 years ago
4 0

Answer:

If X varies directly as 2n+1, and n=4 when x=6, find n when x=18

Step-by-step explanation:

<em>When X = 6, n = 4 in the formula x = 2n + 1, it would remain as</em>: 6 = (2x4) + 1 = 9.

<em>With a rule of 3</em>, when <em>18 = n; 6 = 9</em>; n = 18 x 9/6 = 27

<u>n = 27</u>

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Find all the critical points of h(x) = x^3 − 3x^4 and categorize them as local
neonofarm [45]

Answer:

0 is an inflection point

1/4 is a local maximum.

Step-by-step explanation:

To begin with you find the first derivative of the function and get that

h'(x) = 3x^2 - 12x^3

to find the critical points you equal the first derivative to 0  and get that

3x^2 - 12x^3 = 0, x =  0,1/4

To find if they are maximums or local minimums you use the second derivative.

h''(x) = 6x-36x^2

since h''(0) = 0 is neither an inflection point, and since h''(1/4) = -3/4 then 1/4 is a maximum.

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4 years ago
Every employee works 7 hours per day. every employee works 5 days per week. every employee works 49 weeks per year. how many day
andriy [413]
To determine the number of days that an employee work in a week, we simply use dimensional analysis and multiplying the number of works per week with the number of weeks in total for a year. That is,
                         employee works = (5 days per week)(49 weeks per year) 
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4 0
4 years ago
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A jewelry store has 9/10 of an ounce of gold they need to split into one 6 ounce groups how many groups going to make
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3 years ago
Expand.<br> If necessary, combine like terms.<br> (x+3)(x – 3) = ?
Kobotan [32]

Step-by-step explanation:

multiply it

x²-3x+3x-9=0

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5 0
3 years ago
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Can you help with this please
mojhsa [17]

Answer:

x = 81

Steps:

It says that y ~ √x

We have points (9, 18) as a guide.

We can write y = f(x) = a√x +b

Use points (9, 18) as a guide

18 = a√9 +b

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6 0
2 years ago
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