Divide 4/5 by 2/3. a. 8/15b. 5/6c. 1 1/5d. 1 7/8

Find the inverse f(x)=(2x-3)^2 -1

boyakko [2]

2 is the answer ok great

8 0

2 years ago

Define fn : [0,1] --> R by the

sasho [114]

Answer:

The sequence of functions $\{x^{n}\}_{n\in \mathbb{N}}$ converges to the function

$f(x)=\begin{cases}0&0\leq x$ .

Step-by-step explanation:

The limit $\lim_{n\to \infty }c^{n}$ exists and converges to zero whenever $\lvert c \rvert$ . But, if $c=1$ the sequence $\{c^{n}\}$ is constant and all its terms are equal to $1$ , then converges to $1$ . Using this result, consider the sequence of functions $\{f_{n}\}$ defined on the interval $[0,1]$ by $f_{n}(x)=x^{n}$ . Then, for all $0\leq x$ we have that $\lim_{n\to \infty}x^{n}=0$ . Now, if $x=1$ , then $\lim_{n\to \infty }x^{n}=1$ . Therefore, the limit function of the sequence of functions is

$f(x)=\begin{cases}0&0\leq x$ .

To show that the convergence is not uniform consider $0$ . For any $n>1$ choose $x\in (0,1)$ such that $\varepsilon^{1/n}$ . Then

$\varepsilon$

This implies that the convergence is not uniform.

8 0

3 years ago

MATH HELP PLEASE !!!! Tickets to a local movie were sold at $5.00 for adults and $3.00 for students. If 150 tickets were sold fo

Vaselesa [24]

Answer:

A = 80 S =70

Step-by-step explanation:

#Adults tickets = A

#Students tickets = S

A + S = 150

5A (means the price is $5 times the number of Adult tickets) equals the total amount for all of the Adult tickets altogether

3S (means the price is $3 times the number of Student tickets) equals the total amount for all of the students tickets altogether

5A + 3S = 610 (Means adding the total of all the student tickets plus adult tickets will equal $610 for all tickets sold)

Using both equations now, you can use substitution or elimination to solve for one of the variables. Then you can use the variable to substitute to solve the remaining one.

A + S = 150

5A + 3S = 610

Substitution:

A = 150 - S (Rearrange the first equation by moving S to the other side)

Substitute into the other equation

5 (150 - S) + 3S = 610

750 - 5S + 3S = 610 Combine like terms : -2S = -140

Solve for S = 70

Substitute into A + S = 150 A + (70) = 150

A = 80

3 0

3 years ago

Suppose that there is a black urn containing nine black balls and three yellow balls and there is a yellow urn containing six bl

Ksivusya [100]

Answer:

See Annex for tree diagram and all probabilities

b) P(2y) = 0,329

Step-by-step explanation:

a) Attached

b) Probability of the second ball is yellow P(2y) is equal to the probability of the second ball is yellow given that the first one is black ( 0,204 ) plus the probability f the second ball is yellow given that the first one is yellow ( 0,125)

P(2y) = 0,204 + 0,125

P(2y) = 0,329

5 0

3 years ago

What decimal represents 6/24? 0.6 0.416– 0.25 0.1 PLEASE HELP MEEEEE

lana66690 [7]

0.25 is the answer I think

6 0

3 years ago

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