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3 years ago

Which property does each equation demonstrate?

Mathematics

1 answer:

abruzzese [7]3 years ago

8 0

Answer:

it demonstartes a algebraic property

Step-by-step explanation:

3x#

=8=9=

=67

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Write an equation of the cosine function with amplitude pi/2 and period 3

juin [17]

Answer:

$y = \frac{\pi}{2}cos(\frac{2\pi}{3}x)$

Step-by-step explanation:

Given

$Amplitude = \frac{\pi}{2}$

$Period = 3$

Required

Write the equivalent cosine function

The general formula is:

$y = acos(bx)$

Where

$amplitude = |a|$

$period = \frac{2\pi}{b}$

Substitute $\frac{\pi}{2}$ for amplitude in $amplitude = |a|$

$|a| = \frac{\pi}{2}$

$a = \frac{\pi}{2}$

Substitute 3 for period in $period = \frac{2\pi}{b}$

$\frac{2\pi}{b} = 3$

<em>Multiply both sides by b</em>

$2\pi = 3b$

<em>Divide through by 3</em>

$b = \frac{2\pi}{3}$

Hence;

$y = acos(bx)$ becomes

$y = \frac{\pi}{2}cos(\frac{2\pi}{3}x)$

5 0

3 years ago

The sum of four numbers is 1,320. The sum of three of the numbers is 40% more than the other number, x. What is the value of x ?

ziro4ka [17]

Answer:

550

Step-by-step explanation:

We aren't given that they are consecutive so lets just pretend the numbers are x, y, z , and r.

We are given x+y+z+r=1320

We are also given that y+z+r=.4x+x

Simplifying my second equation gives us y+z+r=1.4x. I'm going to plug this into first equation giving me

x+1.4x=1320

2.4x=1320

So x=1320/2.4=550

6 0

3 years ago

Read 2 more answers

What single decimal multiplier would you use to decrease by 2% followed by a 7% decrease?

serg [7]

Here is your answer.

3 0

3 years ago

The lists below gives the donations, in dollars that two different charities received in 1 day. Compare the means of the two dat

icang [17]

Answer:

The mean of Planted Society's donations received is higher than Bees Park Expansion's.

Step-by-step explanation:

To get the mean, you want to add all of the numbers up and divide by how many numbers up. For example, you add all of the values for Planted Society and get 140. We know that there are 7 numbers given, so we do 140 divided by 7 to get a mean of 20. Same with Bees Park Expansion; add to get a total of 152. There are 8 numbers, and 152 divided by 8 is 19. This means 20>19. Mean is also written as average in questions.

6 0

3 years ago

A rectangle has a height of 4x ^ 3 width of x ^ 3 + 3x ^ 2 + 2x . Express the area of the entire rectangle .

astra-53 [7]

Answer:

$4x^6+12x^5+8x^4$

Step-by-step explanation:

To find the area of a triangle, you need to multiply the width by the height. In this case:

$(4x^3)(x^3+3x^2+2x)=\\4x^6+12x^5+8x^4$

Hope this helps!

6 0

3 years ago