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Dafna11 [192]
1 year ago
7

F(x) = 1/(5x-6)Find the derivative of this function

Mathematics
1 answer:
siniylev [52]1 year ago
5 0

Given

f(x)=\frac{1}{5x-6}

To find the derivative of the give function,we apply below exponent rule first:

\frac{1}{a}=a^{-1}

So,

Next, we apply the chain rule:

So,

We substitute back u=(5x-6):

Simplify:

Therefore, the answer is:

=-\frac{5}{(5x-6)^2}

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An airline claims that the proportion of no-shows for passengers who booked on its flights is less than 0.06. In a random sample
Genrish500 [490]

Step 1:

In a sample of 380 randomly selected reservations, 19 were no-shows.

Step 2:

Proportion of no shows p<0.06.

Step 3:

Test Value

z(19/380)=0.05

Step 4:

Test statistics

a) 0.05-1.124=-1.074

b) 0.05-(-1.943) = 0.05+1.943=1.993

c)0.05-(-0.821)=0.05+0.821=0.871

d)0.05 - 0.222 = - 0.172

e)0.05 -(-1.571) = 0.05+1.571 = 1.621

The above data clearly mentions the test statistics associated with the given samples.

7 0
3 years ago
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Determine the implied domain of the following function. Express your answer in interval notation.
Mandarinka [93]

Answer:

(-♾, ♾)

Step-by-step explanation:

A quadratic can accept any real x value. So the domain is All Real Numbers. This in interval notation is

(-♾, ♾)

This is read as negative infinity to positive infinity

6 0
3 years ago
Dylan is wrapping a birthday present for his sister. The box the gift is in has a length of 6 inches, a width of 5 inches, and a
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Write the product using exponents. (very easy)
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3 years ago
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HELP ASAP<br> Find the 15th term or the geometric sequence 7, -21, 63,
mihalych1998 [28]
<h3><u>Answer:</u></h3>

33480783

<h2><u>Step-by-step explanation:</u></h2>

<u>Finding the Common Ratio:</u>

We know that the formula for the common ratio of a GP is:

r = aₙ / (aₙ₋₁)        <em>(Where n is any integer)</em>

<em>replacing the values, taking n=2</em>

r = -21 / 7

r = -3

<u>Solving for the 15th Term:</u>

We know that the Formula for the nth term of a GP:

G(n) = a * r ⁿ⁻¹     <em>(where a is the first term and r is the common ratio)</em>

<em>replacing the values (taking n = 15 since we need the 15th term)</em>

G(15) = 7 * (-3)¹⁴

G(15) = 33480783

Hence, the 15th term of the given GP is 33480783

5 0
3 years ago
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