What's the domain of this function graph?


A)

[0,∞)

B)

(–∞, 0)

C)

[1,∞)

D)

(–∞,∞)

Answer:

  a. 2 7/9 miles

  b. 21.6 minutes

  c. 8 1/3 miles

Step-by-step explanation:

The rate at which Catlin runs can be determined from the graph by finding the coordinates of a grid point that lies on the line. The line goes through the origin, so the relationship between time and distance is proportional.

We see that the point (miles, minutes) = (1 2/3, 12) lies on the graph, so the contant of proportionality is ...

  k = y/x = 12/(5/3) = 36/5 = 7.2 . . . . minutes/mile

__

The proportion can be written ...

  distance/(20 minutes) = (1 mile)/(7.2 minutes)

  distance = (20/7.2) miles = 2 7/9 miles

Catlin will run 2 7/9 miles in 20 minutes

__

The proportion can be written ...

  time/(3 miles) = (7.2 minutes)/(1 mile)

  time = (3)(7.2 minutes) = 21.6 minutes

Catlin was running 21.6 minutes

__

In 1 hour, Catlin will run 3 times as far as in 20 minutes. Using the result from part A, we find ...

  3(2 7/9 miles) = 8 1/3 miles 8 1/3 miles

Catlin will run 8 1/3 miles in one hour.

_____

Additional comment

Once we have a relationship between minutes and miles, we can write proportions with either of those numbers in the numerator or denominator. We find it convenient to put the unknown value in the numerator of a proportion, which is why the ratios are written differently in the different parts of the problem.

Answer:

I believe the answer would be 3/2 or 1 1/2

Step-by-step explanation:

This is how I did it

6 7/12 - 2 5/12 =  4 1/6

Then,

4 1/6 - 2 8/12 = 1 1/2

In decimal form, it'll be 1.5

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I hope i helped you.

Answer:

3

Step-by-step explanation:

hopefully it helps :)

Answer:

[tex]y=\frac{3}{2} x-3[/tex]

Step-by-step explanation:

Slope Intercept form;

[tex]y=\frac{3}{2} x-3[/tex]

Answer:

x=8

Step-by-step explanation:

Angles in a Triangle always add up to 180

So,  3(9x-12)=180

27x-36=180

216=27x

x=8

The angle of the equilateral triangle is 60° and x is 8.

A triangle is a polygon with three sides and three vertices.

The triangle's total number of angles comes to 180°.

Given, measure of angle of an equilateral triangle 9x-12.

The sum of all the angles of the triangle is 180°.

That means,

3(9x-12) = 180°

27x = 180+36

x = 216 / 27

x =8

Therefore, the value of x is 8.

To learn more about the triangle;

https://brainly.com/question/2773823

#SPJ2

For the given parabola, the axis of symmetry is x = 2.

For any given parabola, we define the axis of symmetry as a line that divides the parabola in two equal halves.

For a regular parabola, we define the axis of symmetry as:

x = h

Where h is the x-component of the vertex.

Remember that for the general parabola:

y = a*x^2 + b*x + c

The x-value of the vertex is:

h = -b/(2a)

Then for the function:

f(x)=−2x²+8x−2

We get:

h = -8/(2*-2) = 2

Then the axis of symmetry is x = 2.

If you want to learn more about parabolas, you can read:

https://brainly.com/question/1480401

Answer:

1/9

Step-by-step explanation:

Your required probabilty answer is 1/9

Answer:

The slope equals the rise divided by the run:

Step-by-step explanation:

You can determine the slope of a line from its graph by looking at the rise and run. One characteristic of a line is that its slope is constant all the way along it. So, you can choose any 2 points along the graph of the line to figure out the slope.

Answer:

4,7,0,

Step-by-step explanation:

answer 1 is 4 2 nd answer is 7 third answer is 0 and 4 th answer is I don't know

We will see that we have a piecewise function:

The graph can be seen at the end.

A function is odd when f(-x) = -f(x) for all the values of x in the domain of the function.

In this case, we know that:

f(x) = x^2   for x > 0.

Then, for the negative range, the sign must change (but the quadratic function is even). Then we define the function in the negative range as:

f(x) = -x^2  for x ≤ 0.

This is the odd function (a piecewise function) for the whole domain:

The graph of the piecewise function can be seen below.

If you want to learn more about piecewise functions, you can read:

https://brainly.com/question/3628123

Answer:

[tex]f(x) =\frac{x^3}{|x|}[/tex]

Step-by-step explanation:

Being an odd function means that [tex]f(-x) = -f(x)[/tex].

Graphically, it means the function will be symmetric across the origin.

So, the graph will have to look like the shown graph.

This graph looks quite similar to the graph [tex]f(x) = x^3[/tex], so we can use that as our parent function.

To get the graph to equal [tex]x^2[/tex] for x>0, we must divide [tex]x^3[/tex] by x.

However, this will simply result in the function [tex]f(x) = x^2[/tex].

If we divide by the absolute value of x however, the graph will look as desired.

The value of the variable x, of the linear equation 5x 8 − 3x = −10 is -9, which is obtained after solving it. Option 1 is the correct option.

A linear equation is the equation in which the highest power of the unknown variable is one.

Here, the given linear equation is,

[tex]5x +8 - 3x = -10[/tex]

Solve it by arranging the equation as,

[tex]5x - 3x +8= -10\\2x+8=-10[/tex]

Subtract number 8 both side of the equation as,

[tex]2x+8-8=-10-8\\2x=-18[/tex]

Divide both side of the equation with number 2 as,

[tex]x=\dfrac{-18}{2}\\x=-9[/tex]

Hence, the value of the variable x, of the linear equation 5x 8 − 3x = −10 is -9, which is obtained after solving it. Option 1 is the correct option.

Learn more about the linear equation here;

https://brainly.com/question/14323743

Answer: is A

Step-by-step explanation: bc some people dont know how to jus put the letter on there to make life so much easier

Answer:

Step-by-step explanation:

Ir is a rectangle because it is a plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square.

Answer:

The answer has no solutions but if you want it in imaginary numbers the answer would be x=-2i and x=2i

Answer:

No solution

Step-by-step explanation:

If the answer has no solution you can't change it, just write No solution

Answer:

=> The value of x is 7. Hence, the required solution is 7.

Step-by-step explanation:

Answer:

21.98

Step-by-step explanation:

u have 2 multiply 3.14 and 7

ur wlcm

Answer:

21.98

Step-by-step explanation:

might be 21.99 but schould be 21.98

c=pie(d)

C=3.14(7)

21.98=7x3.14

Answer:

32 inches tall

Step-by-step explanation:

Pythag orean theorem

60^2  + tall^2 = 68^2

tall = 32 inch

Answer:

the median is 7 for your question center

Answer:

Architect Characteristics

Negotiation Skills

Love of Learning

Broad Knowledge

Love of Nature

Hard Workers

Step-by-step explanation:

Answer:

41 Students

Step-by-step explanation:

Step the equation up as 367x+1500=16600. You want to subtract 1500 from both sides and you get 15100. Divide 15100 by 367 for how much it costs for each student and you get 41.1444141689 you want to round down because you can't have a part of a student.

Answer:

(0,−3),(1,3),(2,9) are possible options

Step-by-step explanation:

Answer:

10 = 8v - 3 (v+8)

v = 6.8

Step-by-step explanation:

10 = 8v - 3 (v+8)

10 = 8v - 3v - 24

10 = 5v - 24

24 + 10 = 5v - 24 + 24

34 = 5v

5 ÷ 34 = 5v ÷ 5

6.8 = v or v = 6.8

Hope it helps :)

Answer:

95 x 6

or  96 x 5

Step-by-step explanation:

If you examine the three numbers, you will see that 5 is the only factor of 10.

If we multiply 5 by an even number, we get a multiple of 10.

If we multiply 5 by an odd number, we get a multiple of 5.

Therefore, the 1-digit number must be 5 or 6, and the last digit of the 2-digit number must be 6 or 5.

This means that the first digit of the 2-digit number has to be 9.

So the options are:  95 x 6  and  96 x 5

56 x 9 = 504

59 x 6 = 354

65 x 9 = 585

69 x 5 = 345

95 x 6 = 570

96 x 5 = 480

**Mulitples of 10 have a zero in the units place**

Step-by-step explanation:

Hi please can u post the diagram so that we can find the perimeter

Answer:

210, 330

Step-by-step explanation:

we know that the angle 30 gives the value of 1/2

so, since we know that sin is negative in both the third and the fourth quadrant, we can find the answer.

make sure to ask if you need any further guidance. :)

solution 1:

[tex]\rightarrow \sf 7 * 3\dfrac{1}{5}[/tex]

[tex]\rightarrow \sf 7 * \dfrac{16}{5}[/tex]

[tex]\rightarrow \sf \dfrac{112}{5}[/tex]

[tex]\rightarrow \sf 22\dfrac{2}{5}[/tex]

solution 2:

[tex]\rightarrow \sf 5\dfrac{4}{10}*2[/tex]

[tex]\rightarrow \sf \dfrac{54}{10}*2[/tex]

[tex]\rightarrow \sf \dfrac{108}{10}[/tex]

[tex]\rightarrow \sf 10\dfrac{8}{10}[/tex]

Answer:

-2, 1, 4

Step-by-step explanation:

Question was already answered.

Answer:

its D on edge 2022

Step-by-step explanation:

ANSWER: 8.3

EXPLANATION :perimeter= (length + width)2

29.6 m = ( length+6.5)2

29.6 = 2l + 13

29.6 Subtract 13 = 2 lengths

16.6÷2 =2l ÷2

length = 8.3