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3 years ago

What describes the components of the arithmetic sequence formula?

1 answer:

6 0

$a_{n}=a_{1}+d(n-1)$

an is the 'nth' term
a1 is first term
d=common difference (found by doing $a_{n}-a_{n-1}$ )
n=numerical representation of which term

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If f(x) = 4x-3, which of the following is the inverse of f(x)?

GalinKa [24]

Answer:

$\huge\boxed{f^{-1}(x)=\dfrac{x+3}{4}=\dfrac{1}{4}x+\dfrac{3}{4}}$

Step-by-step explanation:

$f(x)=4x-3\to y=4x-3\\\\\text{exchange}\ x\ \text{to}\ y\ \text{and vice versa}\\\\x=4y-3\\\\\text{solve for}\ y\\\\4y-3=x\qquad|\text{add 3 to both sides}\\\\4y-3+3=x+3\\\\4y=x+3\qquad|\text{divide both sides by 4}\\\\\dfrac{4y}{4}=\dfrac{x+3}{4}\\\\y=\dfrac{x+3}{4}\to y=\dfrac{1}{4}x+\dfrac{3}{4}$

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2 years ago

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2 years ago

How do you solve for a?−5+a=-10

belka [17]

Hi there!

Here we go:

-5 + a = -10

Add 5 to each side of the equation

a = -5

There you go! I really hope this helped, if there's anything just let me know! :)

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3 years ago

Read 2 more answers

What is 4 to the z power

kherson [118]

Answer:

Step-by-step explanation: 2^2z

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2 years ago

Which of the following statements is not true? a) The standard deviation of the sampling distribution of sample mean = σ/√n b) T

I am Lyosha [343]

Answer:

e) The mean of the sampling distribution of sample mean is always the same as that of X, the distribution from which the sample is taken.

Step-by-step explanation:

The central limit theorem states that

"Given a population with a finite mean μ and a finite non-zero variance σ2, the sampling distribution of the mean approaches a normal distribution with a mean of μ and a variance of σ2/N as N, the sample size, increases."

This means that as the sample size increases, the sample mean of the sampling distribution of means approaches the population mean. This does not state that the sample mean will always be the same as the population mean.

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3 years ago