1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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.

You might be interested in
Please help!! Thank you!!
Semmy [17]

Answer: x>-1

Step-by-step explanation:

Dotted line on the axis is covering y infinitely, so theres an inequality on x, and the line is at -1, so x should be > - 1

3 0
2 years ago
Read 2 more answers
Help me pleasee !!!!
Daniel [21]

Answer:

here (edit I made a mistake)

Step-by-step explanation:

9) y=\frac{3}{5} x +5

10) y = x - 3

11)  y=-\frac{3}{5} x - 3

12) y=\frac{5}{4} x + 2

these are the slop int forms, my bad...

sorry

3 0
2 years ago
Read 2 more answers
Which equation represents the function graphed on the coordinate plane? g(x) = |x – 4| – 10 g(x) = |x 4| – 10 g(x) = |x – 10| 4
AfilCa [17]

You can use the fact that when mode is used, negative and positive all values become non-negative.

The equation that represents the function graphed on the given coordinate plane is given by

Option B: g(x) = |x+4| -10 is the equation which represents the function graphed on the coordinate plane.

<h3>How to know what function is graphed on the coordinate plane?</h3>

We see what points it goes through, what type of nature it is showing where (like for example, the given function firstly goes down straightly, then rise up straightly after x = -4 ). We can see on what value of x, does the function become 0.

Many such graphical analysis help us to analyze which function can represent the given graph.

<h3>How to analyze given graph?</h3>

The graph contains straight lines, so it must be linear.

The graph contains a twist in the direction where it was going initially and changes the direction. This shows that the graph is using something else than just a regular linear equation.

The graph turns up after it goes through x = -4.

Let we try to make equation of straight lines before and after x = -4 which the graph follows.

The first line goes 1 block down (1 block is of 2 units) on y axis as we go 1 block left on x axis. Thus the slope will be -2/2 = -1 (we take slope as rise/run and since rise was down thus it is taken as -ve rise).

The slope intercept form of this line would be

y = mx + c\\&#10;y = -x + c

Since the line passes through point x = -4, y = -10, thus this point must satisfy the equation of that line since an equation represents the family of points which  make up the given line.

Thus,

y = -x + c\\&#10;-10 = -(-4) + c\\&#10;-10 = 4 + c\\&#10;c = -10 -4 \\&#10;c = -14

Thus, the equation of first line would be y = -x -14

The equation of second line, let be y = mx + c.

Since the second line intersects the y axis at y = -6, thus the y intercept of this line is -6 or c = -6.

Since the line rises 1 block( = 2 units) as one block of run happens on x axis in left direction (we take left as positive and right direction run as negative. This is standard sign convention used by most of the mathematical community. Conventions are just to remove ambiguity on international level). Thus, the slope of this line is 2/2 = 1

Thus, m = 1 or the equation of this line would be:

y = x - 6

We can rewrite both the lines as:

y = -x -14\\&#10;and \\&#10;y = x -6\\&#10;\\\\&#10;y = -x -10 -4\\&#10;and\\&#10;y = x - 10 + 4\\&#10;\\\\&#10;y = -10 - (x + 4)\\&#10;and\\&#10;y = -10 + (x + 4)

But the graph has first line till x <= -4 and second line from x >= -4

Thinking carefully on this fact, we can see that when x <= -4 in first line, the -(x+4) is positive or 0

Similarly, for second line, when x >= -4,

the (x+4) is positive or 0

Thus, we can merge both equations using mode:

y = -10 + |x+4|

which will make x+4 to stay positive all the way. Thus, when x <= -4, this will simulate the first line, and when x >= -4, this will simulate the second line.

Note that at x = -4, both the lines have y = -10.

Thus, Option B: g(x) = |x+4| -10 is the equation which represents the function graphed on the coordinate plane.

Learn more about straight line here:

brainly.com/question/18170576

5 0
2 years ago
Read 2 more answers
After a storm damages the community center, Shanika and her friends hold fundraising events to help pay for repairs. After the f
pantera1 [17]

Answer:

Step-by-step explanation:

The total they want to raise is $2,400 if that is what you're asking?

3 0
2 years ago
PLZ HELP A submarine is exploring the Pacific Ocean. At 502.5 feet below sea level, the water temperature is 63 1/4 °F. The subm
LenaWriter [7]
The submarine is now 617.5 feet below sea level, or at -617.5 feet. the temperature is now at 65 9/20

you have to add the first values with the second values :)
6 0
2 years ago
Other questions:
  • What is the product of 5.86 × 10–7 and 3.1 × 104 1. Write the expression: (5.86 × 10–7)(3.1 × 104) 2. Rearrange the expression:
    13·2 answers
  • A shelf in the basement held 7 one-gallon cans that were each 3/4 full of paint of the same color. Hand combines all of the pain
    10·1 answer
  • What inequality represents the verbal expression?
    10·2 answers
  • A triangle includes one angle that 72º. Which pair could be the measures of the other two angles of the triangle?
    8·2 answers
  • Using the following data set, what value would be located at B on the box and whisker plot? 9, 10, 12, 14, 15, 16, 16, 17, 20 10
    11·1 answer
  • Jane can make a handcrafted dream catcher in 6 days. Zena makes the same dream catcher in 4 days. If they work together making d
    11·2 answers
  • Peter is in a walk-a-thon he walks kilometers per hour. if he for 6 hours about how far will he walk.​
    12·1 answer
  • A taxi in new york city charges a flat fee of $3.50, plus $0.75 for every mile traveled. How much would a 6 mile taxi ride cost?
    14·1 answer
  • PLZ HELP ME ASAP W THIS !!!
    11·1 answer
  • A four-letter code uses the letters Z and X. Either letter can be repeated in the code. How many
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!