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2 years ago

Perform the indicated operation. f(n)=n-3 g(n)=n-2 find (f+g)(6)

Mathematics

1 answer:

Grace [21]2 years ago

5 0

Answer:

Step-by-step explanation:

(f + g)(n) = f(n) + g(n) = n - 3 + n - 2 = 2n - 5 , thus

(f + g)(6) = 2(6) - 5 = 12 - 5 = 7

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If ln(4x+y)=2x-3,then dy/dx=

Viktor [21]

$\ln(4x+y)=2x-3$

Differentiate both sides wrt $x$ :

$\dfrac{\mathrm d(\ln(4x+y))}{\mathrm dx}=\dfrac{\mathrm d(2x-3)}{\mathrm dx}$

By the chain rule, we get

$\dfrac1{4x+y}\dfrac{\mathrm d(4x+y)}{\mathrm dx}=2$

$\dfrac{4+\frac{\mathrm dy}{\mathrm dx}}{4x+y}=2$

Solve for $\frac{\mathrm dy}{\mathrm dx}$ :

$4+\dfrac{\mathrm dy}{\mathrm dx}=8x+2y$

$\boxed{\dfrac{\mathrm dy}{\mathrm dx}=8x+2y-4}$

4 0

2 years ago

Which of the following represents the correct calculation of the sampling interval?

Goshia [24]

Answer:

The correct answer is

d. Sampling Interval = Population size ÷ Sample size.

Step-by-step explanation:

According to Johnstone et al., (2014) "<em>Once the auditor has determined the appropriate sample size, a sampling interval is calculated by dividing the population size by the sample size.</em>"

Thus,

Sampling Interval = Population size ÷ Sample size.

Johnstone, K., Rittenberg, L. and Gramling, A. (2014). <em>Auditing: A Risk-Based Approach to Conducting a Quality Audit.</em> Ninth Edition.

4 0

3 years ago

Which of the following ( 15, 20, 30, 57 ) is the product of exactly three different prime numbers?

Andrei [34K]

Answer:

30=2*3*5, so it's 30

Step-by-step explanation:

15=3*5, so it's not 15

20=2*2*5, so it's not 20

30=2*3*5, so it's 30

57=19*3, so it's not 57

3 0

2 years ago

Tommy has a pet monkey. Every day, his monkey eats 4 apples in the morning. The monkey also eats two bananas for every banana to

Kipish [7]

So, if tom eats 10 bananas in 10 days

than, monkey have eaten 40 apples and 20 bananas

hope this helped

8 0

3 years ago

Sofia bought $38 worth of video games. She had a coupon that allowed her to save 8% on her purchases.

Alik [6]

Answer:34.96 (answer to what is her purchase price before tax)

Step-by-step explanation:38*(1-.08)

6 0

2 years ago