The graph below shows Lisa's distance from her home (y), in miles, after a certain amount of time (x), in minutes:

Graph titled Lisas Distance Vs Time shows 0 to 10 on x and y axes at increments of 1. The label on x axis is time in minutes and that on y axis is Distance from Home in miles. Lines are joined at the ordered pairs 0, 0 and 1, 0.5 and 1.5, 1 and 2, 2 and 3, 2 and 4, 2 and 5, 3 and 6, 4 and 7, 5 and 8, 6.

Four students described Lisa's motion, as shown in the table below:


Student Description
Greg She drives at a variable speed for 2 minutes, then stops at a crossing for 2 minutes, and finally drives at a constant speed for the next 4 minutes.
Sam She drives at a variable speed for 2 minutes, then stops at a crossing for 4 minutes, and finally drives at a constant speed for the next 8 minutes.
Jane She drives at a variable speed for 2 minutes, then drives at a constant speed for the next 2 minutes, and finally drives at a variable speed for the next 4 minutes.
Pam She drives at a variable speed for 2 minutes, then drives at a constant speed for 4 minutes, and finally drives at a variable speed for the next 8 minutes.


Which student most accurately described Lisa's motion?
Greg
Sam
Jane
Pam

Answer:

i think that they will get the same amount after a week's pay

Answer:

10 weeks

Step-by-step explanation:

You start by looking for the number that would help make these equal. it would have to be a number that ended with a 5 or 0. that would be 10. 10x7=70. 70+50=120

120

then 10x10=100+20

120

they will be the same at

10

Answer:

Step-by-step explanation:

Subtract 1/4 from both sides. (Change 1/4 to 2/8 so that it can be subtracted from 5/8)

X+ 1/4 = -5/8

X = -5/8 - 2/8

X= -7/8

Answer:

1) We have the system:

5*x - 3*y = 15

4*x + 3*y = 6

To solve this, we first need to isolate one of the variables in one of the equations, let's isolate x in the first equation:

x = 15/5 + (3/5)*y = 3 + (3/5)*y

Now we can replace this in the other equation to get:

4*( 3 + (3/5)*y) + 3*y = 6

and solve this for y.

12 + (12/5)*y  + 3*y = 6

(12/5 + 3)*y = 6 - 12 = -6

(12/5 + 15/5)*y = -6

(27/5)*y = -6

y = -6*(5/27) = 1.11

Now we can replace this in the equation:

x = 3 + (3/5)*y

To get the value of x.

x = 3 + (3/5)*1.11 = 3.67

Then the solution of this system is the point (3.67, 1.11)

2) Now we have the system:

2*x + 5*y = 26

4*x + 3*y = 24

The solution method is the same as before:

x = 26/2 - (5/2)*y = 13 - (5/2)*y

Now we replace this in the other equation:

4*( 13 - (5/2)*y) + 3*y = 24

52 - 10*y + 3*y = 24

52 - 7*y = 24

52 - 24 = 7*y

28 = 7*y

28/7 = y

4 = y

now we replace this in the equatio:

x = 13 - (5/2)*y

x = 13 - (5/2)*4 = 13 - 10 = 3

The solution of this sytem is (3, 4)

3) Now we have the system:

3*x + 3*y = 39

2*x - 3*y = -2

first we isolate x in the first equation:

x = 39/3 - 3*y/3 = 13 - y

Now we can replace this in the other equation:

2*(13 - y) - 3*y = -2

26 - 2*y - 3*y = -2

26 - 5*y = -2

26 + 2 = 5*y

28 = 5*y

28/5 = y = 5.6

Now we can replace this in the equation:

x = 13 - y

To get the x-value

x = 13 - 5.6 = 7.4

Then the solution for this system is (7.4, 5.6)

Answer:

The last one (f) hope u still have time

Answer:

y=x is the equation also represents that relationship.

Answer:

[tex]y=x^{2}[/tex]

Step-by-step explanation:

This is a quadratic function. 2x2=4, (-2)x(-2)=4, (-1)x(-1)=1, and 1x1=1. So, the function represented by the graph is y=[tex]x^{2}[/tex]

Answer:14x+4

Step-by-step explanation:

edit: the answer is 14x + 4

(the reason i edited was to cause less confusion)

Answer:

Step-by-step explanation:

All you do is multiply 75 x .25 = 18.75

Subtract 75 - 18.75 = $56.25

Answer:

Step-by-step explanation:

9514 1404 393

Answer:

  f, h, g

Step-by-step explanation:

The axis of symmetry for a vertically-opening parabola is the line ...

  x = constant

where the constant is the x-coordinate of the vertex.

__

h(x)

The equation of f(x) is given in vertex form ...

  f(x) = a(x -h)² +k . . . . . vertex: (h, k)

where (h, k) = (-4, 1).

The axis of symmetry of f(x) is x = -4.

__

g(x)

The equation of g(x) is given in standard form ...

  g(x) = ax² +bx +c

The line of symmetry for this parabola is ...

  x = -b/(2a) = -(-16)/(2(2)) = 16/4 = 4

The axis of symmetry of g(x) is x = 4.

__

h(x)

The x-coordinate of the vertex can be read from the graph:

  x = 1

The axis of symmetry of h(x) is x = 1.

__

From smallest to largest, the rank is f(x), h(x), g(x).

Answer:

the answer is D your welcome

Answer:

2

Step-by-step explanation:

Answer:

Check pdf

Step-by-step explanation:

9514 1404 393

Answer:

  24 cm²

Step-by-step explanation:

To find the area of the trapezium, we must know the length CD. That means we must know the length BC. Fortunately, the perimeter of ABCF is given, so we have ...

  P = 2(AB +BC)

  BC = (P/2) -AB = (20 cm)/2 - 6 cm = 4 cm

Then CD is ...

  CD = BD -BC = 9 cm -4 cm = 5 cm

The area of the trapezium is given by the formula ...

  A = (1/2)(b1 +b2)h

  A = (1/2)(5 cm + 3 cm)(6 cm) = 24 cm²

The area of trapezium CDEF is 24 cm².

Answer:

(4, 2 ) and (5, - 4 )

Step-by-step explanation:

(3)

6x + 2y = 28 → (1)

x = 2y → (2)

Substitute x = 2y into (1)

6(2y) + 2y = 28

12y + 2y = 28

14y = 28 ( divide both sides by 14 )

y = 2

Substitute y = 2 into (2) for corresponding value of x

x = 2(2) = 4

solution is (4, 2 )

(4)

x + y = 1 → (1)

2x + y = 6 → (2)

Rearrange (2) expressing y in terms of x by subtracting 2x from both sides

y = 6 - 2x → (3)

Substitute y = 6 - 2x into (1)

x + 6 - 2x = 1

- x + 6 = 1 ( subtract 6 from both sides )

- x = - 5 ( multiply both sides by - 1 )

x = 5

Substitute x = 5 into (3) for corresponding value of y

y = 6 - 2(5) = 6 - 10 = - 4

solution is (5, - 4 )

Answer:

Michael took his 6th sip at 4 : 05

Step-by-step explanation:

Duration in which Michael takes a sip of water = 20 minutes

Therefore, he will take his sixth sip after (20 × 6) = 120 minutes Or after 2 hours

If he takes first sip of water at 3 : 05

Then he will take his sixth sip at ( 3 : 05 + 2 : 00)

Time at his sixth sip = 5 : 05

Answer:

I believe it's x<6

Step-by-step explanation:

Answer:

Answer:

the length of the base of the pyramid =2×58=116

since the mid segment line from the midpoint is half of the third one.

Answer:

the length of the base of the pyramid =2×58=116

Step-by-step explanation:

Answer:

1/2 3/4 5/6

Step-by-step explanation:

56565476544356754345676543265432

Answer:

6/16

Step-by-step explanation:

Answer:

A = (1, 4)

Step-by-step explanation:

Given :

Square numbers include : 1², 2², 3², 4²,...

x|x square numbers less than 5

1² = 1

2² = 4

3² = 9 (not applicable)

Square numbers less than 5 are ; 1, 4

Hence,

Set A = (1, 4) where, x|x square numbers less than 5

A = (1, 4)

Answer: 4 yards 2 ft

Step-by-step explanation:

1 yard = 3 feet

8 yards - 3 yards = 5 yards - 1 yard = 4 yards

3 ft + 1 ft - 2ft = 2 ft

answer is 4 yards 2 feet

Answer:

y - 6 = 2(x + 4)

Step-by-step explanation:

Point slope form is y - [tex]y_{1}[/tex] = m (x - [tex]x_{1}[/tex]).

[tex]x_{1}[/tex] and [tex]y_{1}[/tex] are the points that they give you in the problem, which is (-4, 6), and m is the slope, which is 2.

When you plug everything in, you should get

y - 6 = 2(x + 4).

Answer:

should be 5  1/4

Step-by-step explanation:

Answer:

1.1     Solve   x-3y+7  = 0

recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  x-3y+7  = 0 and calculate its properties

Step-by-step explanation:

The anser is in the screenshots

Answer: Solution: (-4, 1)

Step-by-step explanation:

x = 3y - 7

4x + 5y = -11

Substitute x for 3y - 7

4x + 5y = -11

4 (3y - 7) + 5y = -11

12y - 28 + 5y = -11

17y - 28 = -11

Add 28 to both sides

17y = 17

y = 1

x = 3y - 7

x = 3(1) - 7

x = 3 - 7

x = -4

Solution: (-4, 1)

Answer:

x > 17

Step-by-step explanation:

x > 17

The open circle means that it is not equal to 17. The shaded area to the right represents that it can be larger than or greater than 17.

Answer:

x > 17 your welcome

Step-by-step explanation:

i don't know i just know it

Answer:

The percent of change 200%.

Hope that helps！

Step-by-step explanation:

Answer:

Its a 200% change i believe, hope you have a nice day!

Answer:

x^2 - 10x + 25 = 17

Step-by-step explanation:

x^2 - 10x = - 8

Now x^2 - 10x = (x - 5)^2 - 25, so

(x - 5)^2 - 25 = -8

(x - 5)^2 = -8 + 25

x^2 - 10x + 25 = 17..

Answer:

The first person that told the answer has it correct so beleive the answer

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

4 quartz per gallon

4 x 22 = 88 Containers

Answer:

c

Step-by-step explanation:

Step-by-step explanation:

) Every positive rational number is greater than 0. 

(ii) Every negative rational number is less than 0.

(iii) Every positive rational number is greater than every negative rational number. 

(iv) Every rational number represented by a point on the number line is greater than every rational number represented by points on its left. 

(v) Every rational number represented by a point on the number line is less than every rational number represented by paints on its right