All categories

3 years ago

What are the period and amplitude of the function?

Mathematics

1 answer:

valentina_108 [34]3 years ago

7 0

The period is the distance between one peak and the next peak ( the two highest points)

One peak is at x= 0, the next peak is at x = 5 then the third peak is at x = 10.

Subtract to find the distance: 10-5 = 5 and 5-0 = 5 so the period is 5.

The amplitude is the distance from the centerline to the peak. First find the highest and lowest points to finch the center:

Highest = 3 lowest = -2. The distance between the highest and lowest is 5 so the centerline would be 5/2 = 2.5

The amplitude would be the distance from center to peak which would be 2.5

The answer is:

Period = 5, amplitude = 2.5

You might be interested in

The total amount of weight on an elevator cannot exceed 1,800 pounds. a delivery person is on the elevator delivering packages.

HACTEHA [7]

Answer:

p ≤ 8

Step-by-step explanation:

Given the following :

Maximum weight elevator can hold ≤ 1800

Weight of delivery person and packages = 520 pounds

Average weight of a person = 160 pounds

Inequality to show how many additional people elevator can hold?

(weight of delivery person and packages + average weight of persons * number of persons) ≤ 1800

Let p = number of persons

(520 + 160p) ≤ 1800

160p ≤ 1800 - 520

160p ≤ 1280

p ≤ 1280 / 160

p ≤ 8

8 0

4 years ago

Your friend attempted to factor an expression as shown. Find the error in your friends work. Then factor the expression correctl

loris [4]

Answer:

Third step is incorrect. The correct factored form is (x-1)(2x-5).

Step-by-step explanation:

The given expression is

$2x^2-7x+5$

We need to find the factored form of this expression.

Step 1: Given

$2x^2-7x+5$

Step 2: Splitting the middle term method, the middle term can be written as (-5x-2x).

$2x^2-5x-2x+5$

$(2x^2-5x)+(-2x+5)$

Step 3: Taking out common factors from each parenthesis.

$x(2x-5)-1(2x-5)$

Step 4: Taking out common factors.

$(x-1)(2x-5)$

Therefore, the third step is incorrect. The correct factored form is (x-1)(2x-5).

3 0

3 years ago

11) Help pls I have the answer I just need to show the work.

spayn [35]

True.
The Pythagorean theorem is a^2 + b^2 = c^2 where a^2 and b^2 are the two legs of the triangle (two sides connected by the right angle) and c is the hypotenuse (longest side, opposite the right angle).

To solve using the Pythagorean theorem, plug in sides AC and CB into a and b, then solve for c.

23^2 + 31^2 = c^2
529 + 961 = c^2
c^2 = 1490
c = √1490 = 38.601

I hope this helps!

4 0

3 years ago

Can u answer dis?<br><br> will mark brainliest

Grace [21]

The correct answer is B
325-45=280
8x35=280

3 0

2 years ago

IN TOATL NEED OF HELP PLEASE 30 PONIFS

Olin [163]

Answer:

what do u want help with

Step-by-step explanation: