All categories

3 years ago

Given f(x)=|4x^2-3x| find f(3)

Mathematics

1 answer:

Ksenya-84 [330]3 years ago

8 0

Substitute x with 3.

f(3) = |4(3)^2 - 3(3)|

f(3) = |4(9) - 9|

f(3) = |36 - 9|

f(3) = |27|

f(3) = 27

Absolute Value keeps the number positive regarding it's sign.

Hope This Helped! Good Luck!

You might be interested in

What does 7 minus the product of 2 and x in algebra?

zmey [24]

7 minus the product of 2 and x in algebra is:

7 - 2x

8 0

4 years ago

At NC State University, 16.4% of the undergraduate classes have more than 50 students. If a random sample of 200 undergraduate c

Lena [83]

Answer:

We need to check the conditions in order to use the normal approximation.

$np=200*0.164=32.8 \geq 10$

$n(1-p)=200*(1-0.164)=167.2 \geq 10$

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

The mean is given by:

$p =0.164$

And the deviation is given by:

$\sigma_{p}= \sqrt{\frac{0.164*(1-0.164)}{200}}= 0.0262$

So then the correct options for this case are:

The sampling distribution will be approximately normal.

The mean of the sampling distribution will be 16.4%.

The standard deviation of the sampling distribution will be 0.0262.

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=200, p=0.164)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

We need to check the conditions in order to use the normal approximation.

$np=200*0.164=32.8 \geq 10$

$n(1-p)=200*(1-0.164)=167.2 \geq 10$

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

The mean is given by:

$p =0.164$

And the deviation is given by:

$\sigma_{p}= \sqrt{\frac{0.164*(1-0.164)}{200}}= 0.0262$

So then the correct options for this case are:

The sampling distribution will be approximately normal.

The mean of the sampling distribution will be 16.4%.

The standard deviation of the sampling distribution will be 0.0262.

6 0

3 years ago

The formula V=IR how to find R

Anni [7]

From this, we conclude that; Current equals Voltage divided by Resistance (I=V/R), Resistance equals Voltage divided by Current (R=V/I), and Voltage equals Current times Resistance (V=IR).To calculate voltage, V: put your finger over V, this leaves I R, so the equation is V = I × R.

To calculate current, I: put your finger over I, this leaves V over R, so the equation is I = V/R

5 0

3 years ago

Read 2 more answers

Which of the following expressions is equal to the expression 4x-2(3x-9)?

LekaFEV [45]

Answer:

- 2x + 18

Step-by-step explanation:

Given

4x - 2(3x - 9) ← distribute

= 4x - 6x + 18 ← collect like terms

= - 2x + 18 OR 18 - 2x

3 0

4 years ago

True of false that 9.1 is lagg<br> er than √82

iragen [17]

True 9.1 is larger because when u solve the other numbers square root it's 9.0 and then it goes on

3 0

4 years ago