Find the first term in the sequence when u(subscript)31=197 and d= 10.

Answer correctly for brainliest pleaseeee!!

wolverine [178]

Answer:

A. (x,y) → (-x,y)

Step-by-step explanation:

A: (-5,-1)
A': (5,1)
B: (-3, -3)
B': (3, -3)
C: (-5, -5)

C': (5, -5)
D: (-7, -3)

D': (7,-3)

The x values change sign but the y values don't.

3 0

2 years ago

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If the first chapter of a certain book is 28 pages long and makes up 4% of the book, how many pages does the entire book have?

Schach [20]

Answer:

700 pages

Step-by-step explanation:

I first found out how many pages were in 1% so I divided 28 by 4.

I got 7 so I multiplied it by 100 and 700 was the answer.

Basically:

28÷4 = 7

7 x 100 = 700

I hope that kinda made sense!

8 0

3 years ago

6. If you draw 35 lines on a piece of paper so that no two lines are parallel to each

umka2103 [35]

The point of intersection is the point where lines intersect.

There will be 595 intersections for 35 lines, where no 3 lines are concurrent.

Given

$n = 35$ --- the number of lines

$d = 3$ --- no three lines are concurrent

When no three line are concurrent, it means that no three lines meet at the same point.

So, the sequence of intersection is:

0 intersection for 1 line
1 intersection for 2 lines
3 intersections for 3 lines
6 intersections for 4 lines

Following the above sequence, the number of intersections for n lines is:

$n_k = \frac{n \times (n - 1)}{2}$

In this case, $n = 35.$

So, we have:

$n_k = \frac{35 \times (35 - 1)}{2}$

$n_k = \frac{35 \times 34}{2}$

$n_k = 35 \times 17$

$n_k = 595$

Hence, there will be 595 intersections for 35 lines, where no 3 lines are concurrent.

Read more about lines of intersections at:

brainly.com/question/22368617

7 0

2 years ago

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What is 82447.96 rounded to the nearest cubic inch?

Zinaida [17]

Answer:

82448 Cubic Inches

Step-by-step explanation:

Our number is 82447.96

We know that we want to try our best to make this a whole number.

So, lets round 82447.96 up from the decimal point.

now the 0.06 will round the the 0.9 up.

Now we add the 1.0 to 82447.

Our number is now 82448.

Our number rounded to the nearest cubic inch is 82448.

~CaityConcerto

8 0

3 years ago

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A football team plays in a large stadium. With a ticket price of $19, the average attendance at recent games has been 50 comma

tino4ka555 [31]

Answer:

Part 1: N(x) = 50,000 - 300(x-19)

Part 2: R(x) =-300x² + 55700x

Step-by-step explanation:

Given,

The original price of each ticket = $ 19,

The original attendance = 50,000

Part 1 :

∵ For the each $1 increase in the ticket price, attendance decreases by 300.

Let x represents the price of each ticket after increment,

Thus, if price increment = (x-19) dollars,

New attendance, N(x) = 50,000 - 300(x-19)

Part 2 :

Since, revenue = price of each ticket × attendance

Thus, the revenue from the football game,

R(x) = x(50,000 - 300(x-19))

R(x) = 50000x - 300x²+ 5700x

⇒ R(x) =-300x² + 55700x

8 0

3 years ago