Which expression is undefined?

Jeans are on sale for 20% off the regular price.

7nadin3 [17]

Keywords:

Function, variable, total cost, percentage, jeans

For this case we have a function of the form $y = f (x)$ , where $f (x)$ represents the total cost of buying a pair of jeans, considering that they are 20% below the regular price given by the variable x.

So, if the pair of jeans costs x, we look for 20% of x.

x -----------> 100%

? -----------> 20%

Where "?" represents 20% of x. So, we have:

$? = \frac {20 * x} {100}\\? = 0.2x$

Thus, 0.2x represents the reduction of the total cost of the pair of jeans

Then, the function that gives the total cost of the pair of jeans, with a reduction of 20% is:

$f (x) = x-0.2x$

Answer:

$f (x) = x-0.2x$

Option C

6 0

3 years ago

Find the ordered pair of 2x+y=4 and graph

castortr0y [4]

Step-by-step explanation:

convert to slope-intercept form

y = -2x + 4

8 0

4 years ago

Sali throws an ordinary fair 6 sided dice once.

xenn [34]

a) 1/6

b) 1/36

c)

1H, 2H, 3H, 4H, 5H, 6H

1T, 2T, 3T, 4T, 5T, 6T

Step-by-step explanation:

a)

The probability of a certain event A to occur is given by

$p(A)=\frac{a}{n}$

where

a is the number of successfull outcomes, in which event A occurs

n is the total number of possible outcomes

In this problem, the event is

"getting a 6 when throwing a dice once"

We know that the possible outcomes of a dice are six: 1, 2, 3, 4, 5, 6, so we he have

$n=6$

The successfull outcome in this case is only if we get a 6, so only 1 outcome, therefore

$a=1$

So, the probability of this event is

$p(6)=\frac{1}{6}$

b)

In this case instead, we are throwing the dice twice.

The two throws of the dice are independent events (one does not depend on the other): the probability that two independent events A and B occur at the same time is given by the product of the individual probabilities,

$p(AB)=p(A)\cdot p(B)$

where

$p(A)$ is the probability that event A occurs

$p(B)$ is the probability that event B occurs

Here we have:

- Event A is "getting a 6 in the first throw of the dice". We already calculated this probability in part a), and it is

$p(A)=\frac{1}{6}$

- Event B is "getting a 6 in the second throw of the dice". Since the dice has not changed, the probability is still the same, so

$p(B)=\frac{1}{6}$

Therefore, the probability of getting a 6 on both throws is:

$p(66)=p(6)\cdot p(6)=\frac{1}{6}\cdot \frac{1}{6}=\frac{1}{36}$

c)

In this problem, we have:

- A dice that is thrown once

- A coin that is also thrown once

The dice has 6 possible outcomes, as we stated in part a):

1, 2, 3, 4, 5, 6

While the coin has two possible outcomes:

H = head

T = tail

So, in order to find all the outcomes of the two events combined, we have to combine all the outcomes of the dice with all the outcomes of the coin.

Doing so, using the following notation:

1H (getting 1 with the dice, and head with the coin)

The possible outcomes are:

1H, 2H, 3H, 4H, 5H, 6H

1T, 2T, 3T, 4T, 5T, 6T

So, we have a total of 12 possible outcomes.

4 0

3 years ago

Evaluate the indicated limit algebraically. Change the form of the function where necessary. Please write clearly with descripti

alukav5142 [94]

Answer:

$\displaystyle \lim_{x\to \infty}\frac{3x^2+4.5}{x^2-1.5}=3$

Step-by-step explanation:

We want to evaluate the limit:

$\displaystyle \lim_{x\to \infty}\frac{3x^2+4.5}{x^2-1.5}$

To do so, we can divide everything by x². So:

$=\displaystyle \lim_{x\to \infty}\frac{3+4.5/x^2}{1-1.5/x^2}$

Now, we can apply direct substitution:

$\Rightarrow \displaystyle \frac{3+4.5/(\infty)^2}{1-1.5/(\infty)^2}$

Any constant value over infinity tends towards 0. Therefore:

$\displaystyle =\frac{3+0}{1+0}=\frac{3}{1}=3$

Hence:

$\displaystyle \lim_{x\to \infty}\frac{3x^2+4.5}{x^2-1.5}=3$

Alternatively, we can simply consider the biggest term of the numerator and the denominator. The term with the strongest influence in the numerator is 3x², and in the denominator it is x². So:

$\displaystyle \Rightarrow \lim_{x\to\infty}\frac{3x^2}{x^2}$

Simplify:

$\displaystyle =\lim_{x\to\infty}3=3$

The limit of a constant is simply the constant.

We acquire the same answer.

6 0

3 years ago

Tom sells cookies in his store. His bakery has a total of 1,850 cookies for the weekend. If 30% of his cookies are oatmeal raisi

lidiya [134]

555 Oatmeal Raisin Cookies

1,850 / 0.30 = 555

I Hope This Helps! (^_^)

8 0

3 years ago

Which expression is undefined?​

Which expression is undefined?