How to find the recursive formula?

Mr. Zelman wants to give 50% of his comic book collection to his nephew Alex. If Mr. Zelman has 800 comic books, then how many w

BARSIC [14]

Mr. Zelman gave 400 books to his nephew

<em><u>Solution:</u></em>

Given that, Mr. Zelman wants to give 50% of his comic book collection to his nephew Alex

Mr. Zelman has 800 comic books

Number of books with Zelman = 800

Mr. Zelman wants to give 50% of books to Alex

Number of books given to nephew = 50 % of books of Zelman

Therefore, we have to find 50 % of 800

$\rightarrow 50 \% \text{ of } 800$

$\rightarrow 50 \% \times 800\\\\\rightarrow \frac{50}{100} \times 800 = 400$

Thus he gave 400 books to his nephew

4 0

2 years ago

Endpoint given the Midpoint: * The midpoint of RP is M(2, 4). If one of the end points is R(-1,7), find the coordinates of the o

marin [14]

Answer:

The coordinates of other point are: (5,1)

Step-by-step explanation:

Given coordinates are:

M(x,y) = (2,4)

R(x_1,x_2) = (-1,7)

We have to find the coordinates of other point (x2,y2)

The formula for mid-point is given by:

$M(x,y) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$

Putting the values we get

$(2,4) = (\frac{-1+x_2}{2}, \frac{7+y_2}{2})$

Putting respective elements equal

$\frac{-1+x_2}{2} = 2\\-1+x_2 = 2*2\\-1+x_2 = 4\\x_2 = 4+1\\x_2 = 5\\And\\\frac{7+y_2}{2} = 4\\7+y_2 = 4*2\\7+y_2 = 8\\y_2 = 8-7\\y_2 = 1$

Hence,

The coordinates of other point are: (5,1)

8 0

2 years ago

Grace rolls a fair, 6-sided die 50 times.

Lostsunrise [7]

Answer:

Step-by-step explanation:

Here's the thing. It is easier to figure out the probability of not getting a six even once during the 50 rolls.

The chance of that happening is (5/6)^50 = 0.00010988

So the probability is succeeding is (1 - 0.00010988) = 0.9999 rounded to 4 places.

5 0

3 years ago

Graph the function. Describe its position relative to the graph of the indicated function

sweet [91]

Answer:

C

Step-by-step explanation:

If the parent function is function $y=f(x)$ and $a>0,$ then

the graph of the function $y=f(x-a)$ is translated a units to the right graph of the parent function;
the graph of the function $y=f(x+a)$ is translated a units to the left graph of the parent function;
the graph of the function $y=f(x)+a$ is translated a units up graph of the parent function;
the graph of the function $y=f(x)-a$ is translated a units down graph of the parent function.