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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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This is for the first answer and to be honest just use Desmos if you don’t have a graphing calculator

8 0
2 years ago
If a 12 sided regular polygon rotates about its center at which angle of rotation will the image of the polygon coinside with th
Amanda [17]

Answer: 30 degrees

This is the minimum amount of rotation.

Why this value? Well because 360/12 = 30

Consider a triangle with 3 sides. Specifically I mean an equilateral triangle. We can rotate it 120 degrees to have it line up with itself. Now notice that 360/3 = 120.

For a square, we can rotate it 90 degrees and we can say 360/4 = 90

So the general rule is that the minimum angle of rotation is 360/n, where n is the number of sides. This rule only works for regular polygons. Regular polygons have the same side length and the same angle measure (the side and angle measure won't necessarily be equal).

So going back to this 12 sided dodecagon, we have n = 12 and 360/n = 360/12 = 30 as the minimum angle of rotation. Each 30 degree rotation will have the polygon match up perfectly with its old image. The preimage and image will be identical.

6 0
3 years ago
sing the expression x + 3, write one equation that has one solution, one equation that has no solution, and one equation that ha
8090 [49]

Answer:  one solution  x + 3 = 5   x = 2   no other other value for x is possible

No solution:  (x + 3) = 2(x +3)  

Infinitely many solutions:  x+3 = 3 + x

Step-by-step explanation:

why (x + 3) = 2(x +3)  has no solution. Can you solve?

x+3=2x+6 -x=3 x=-3 substute -3 for x

(-3)+ 3)= 2[(-3) +3]

-3+3 = -6 +3

0 = -3 False!

x+3 = 3 + x  has infinitely many solutions. Substitute any number for x, and the equation is true   (5)+3=3+(5) 8=8 .  11111+3 =3+11111  11114=11114

6 0
3 years ago
Luna collected two random samples of 100 citizens each, with the results listed below. She made the inference that the least pop
kenny6666 [7]

Answer:

no its not

Step-by-step explanation:

from 2 random samples you cant figure it out

5 0
2 years ago
2X minus one equals five
stepan [7]
2x-1=5
2(3)-1=5
6-1=5
5=5 

x=3
7 0
3 years ago
Read 2 more answers
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