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kogti [31]
3 years ago
6

Write a rational function that can be used to model the race, where the independent variable represents the average speed in Km/

hour and the dependent variable represents the time in hours it takes to complete the race.
What type of variation function is it?
Mathematics
1 answer:
shutvik [7]3 years ago
8 0

Answer:

T = D / S

Step-by-step explanation:

Distance 'd' = Time 't' x Speed 's'

Ex: If speed= 2km/hr & time taken = 2hrs. So, distance covered = 2x2 = 4km

Hence,  Time 't'  = Distance 'd' / Speed 's'

This is the rational function representing relationship between : dependent (effect) variable - time, & independent (causal) variable - speed.

This is a type of 'inverse or negative relationship' variation function. As, higher speed implies lower time & vice versa.

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If you have an equation, then the number before the x is your slope, if you have points, use the equation (y2-y1)/(x2-x1)
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The diameter of this compact disc is 11.8cm. The hole in the middle has a area of 1.54cm2. What is the area of the plastic in th
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A=A_{disc}-A_{hole}\\A=\pi r^2-(1.54)\\A=\pi(5.9)^2-1.54\\A=34.81\pi -1.54\\A=109.358840271-1.54\\A=107.818840271

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Please help what is number 5 i have done the rest!!!
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2 years ago
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Solve for w. 5w + 9z = 2z + 3w
Margaret [11]

Answer:

w = -7z/2

Step-by-step explanation:

Our goal is to isolate w

1. subtract 3w from both sides to get 2w+9z = 2z

2. Subtract 9z from both sides to get 2w = -7z

3. Divide both sides by 2 to get w = -7z/2

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4 0
3 years ago
The triangle and the trapezoid have the same area. Base b2 is twice the length of base b1. What are the lenghts of the bases of
Sati [7]

Answer:

<h2>The lengths of the bases of the trapezoid:</h2><h2>42/h cm and 84/h cm.</h2>

Step-by-step explanation:

The formula of an area of a triangle:

A=\dfrac{bh}{2}

<em>b</em><em> </em>- base

<em>h</em> - height

We have <em>b = 21cm, h = 6cm</em>.

Substitute:

A=\dfrac{(21)(6)}{2}=63\ cm^2

The formula of an area of a trapezoid:

A=\dfrac{b_1+b_2}{2}\cdot h

<em>b₁, b₂</em> - bases

<em>h</em><em> - </em>height

We have <em>b₁ = 2b₂</em>, therefore <em>b₁ + b₂ = 2b₂ + b₂ = 3b₂</em>.

The area of a triangle and the area of a trapezoid are the same.

Therefore

\dfrac{3b_2}{2}\cdot h=63         <em>multiply both sides by 2</em>

3b_2h=126          <em>divide both sides by 3</em>

b_2h=42         <em>divide both sides by h</em>

b_2=\dfrac{42}{h}

b_1=2b_2\to b_1=2\cdot\dfrac{42}{h}=\dfrac{84}{h}

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2 years ago
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