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hodyreva [135]
3 years ago
14

Write three functions. In the first function, y should vary directly with x. In the second function, y should vary inversely wit

h x. In the third function, the relationship between x and y should be neither inverse variation nor direct variation.
Mathematics
2 answers:
xxTIMURxx [149]3 years ago
8 0

1) y = kx . . . . . for some constant k

.. Here y is directly proportional to x , where k is the constant of proportionality


2) y = k/x . . . . for some constant k

.. Here y is inversely proportional to x , again k is the constant of proportionality.


3) y = 2x +52

..

Here y is linearly related to the x , it is neither directly proportional nor inversely proportional.

motikmotik3 years ago
7 0
Asked and answered elsewhere.
brainly.com/question/8880788
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Hi, teacher I was absent these days and I didn’t understand anything about this lesson and I need help this is not count as a te
motikmotik

Given:

There are given that the cos function:

cos210^{\circ}=-\frac{\sqrt{3}}{2}

Explanation:

To find the value, first, we need to use the half-angle formula:

So,

From the half-angle formula:

cos(\frac{\theta}{2})=\pm\sqrt{\frac{1+cos\theta}{2}}

Then,

Since 105 degrees is the 2nd quadrant so cosine is negative

Then,

By the formula:

\begin{gathered} cos(105^{\circ})=cos(\frac{210^{\circ}}{2}) \\ =-\sqrt{\frac{1+cos(210)}{2}} \end{gathered}

Then,

Put the value of cos210 degrees into the above function:

So,

\begin{gathered} cos(105^{\circ})=-\sqrt{\frac{1+cos(210)}{2}} \\ cos(105^{\operatorname{\circ}})=-\sqrt{\frac{1-\frac{\sqrt{3}}{2}}{2}} \\ cos(105^{\circ})=-\sqrt{\frac{2-\sqrt{3}}{4}} \\ cos(105^{\circ})=-\frac{\sqrt{2-\sqrt{3}}}{2} \end{gathered}

Final answer:

Hence, the value of the cos(105) is shown below:

cos(105^{\operatorname{\circ}})=-\frac{\sqrt{2-\sqrt{3}}}{2}

4 0
1 year ago
Round to the nearest hundredth : 3.2649
Bas_tet [7]

Answer:

3.26

Step-by-step explanation:

Rounding to the nearest hundredth means round to the nearest two decimal places.

To do this, all we need to look at is the 3rd decimal place.

Since 4 is not 5 or greater, that means we must round down, no matter how close it is to 5.

Therefore, the answer should just be 3.26

3 0
3 years ago
Read 2 more answers
6) Triangle RST has vertices R(2,3), S(5. -1), and T(3, -4). The triangle is rotated 90° counterclockwise about the origin. Whic
Contact [7]

Answer:

  • T'(4, 3)

Step-by-step explanation:

<u>The rule of 90° counterclockwise rotation about the origin:</u>

  • (x, y) → (-y, x)

<u>Apply the rule to the point T:</u>

  • T(3, -4) → T'(4, 3)
3 0
3 years ago
Read 2 more answers
David makes a pizza with 8 slices of equal size. He covers 5 of the 8 with pepperoni. what percent of the pizza is covered with
gayaneshka [121]

Answer:

D

Step-by-step explanation:

5 ÷ 8 = 0.625 = 62.5%

4 0
3 years ago
The price of a house is originally listed at $150,000. The owners are having a hard time selling it and decide to reduce the pri
denis-greek [22]

Answer:

there is a 23% decrease in the price of the house

Step-by-step explanation:

percentage decrease of the price of the house = (price decrease of the house / initial price of the house) x 100

price decrease of the house =new price - initial price

$115,500 -  $150,000 = $-34,500

( $-34,500 / $150,000) x 100 = -23%

4 0
3 years ago
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