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ELEN [110]
2 years ago
9

The distance, y, in miles, traveled by a car for a certain amount of time, x, in hours, is shown in the graph below: A graph tit

led Motion of a Car is shown with Time in hours labeled on x-axis and Distance from Starting Point in miles labeled on y-axis. The scale on the x-axis shows the numbers 1, 2, 3, 4, 5, 6, and the scale on the y-axis shows the numbers 0, 13, 26, 39, 52, 65, 78. There are three straight lines in the graph. The first line joins ordered pair 0, 0 with 2, 26. The second straight line joins 2, 26 and 3,26 and the third straight line joins ordered pair 3,26 with the ordered pair 5,52. Which of the following best describes the motion of the car shown? It travels for 2 hours, then stops for 3 hours, and finally travels again for 2 hours. It travels for 2 hours, then stops for 3 hours, and finally travels again for 5 hours. It travels for 2 hours, then stops for 1 hour, and finally travels again for 5 hours. It travels for 2 hours, then stops for 1 hour, and finally travels again for 2 hours. Question 3(Multiple Choice Worth 1 points) (05.01 LC) The graph below shows the height through which an elevator travels, y, in x seconds: A graph is shown with x axis title as Time in seconds. The title on the y-axis is Height of Elevator Above Ground in feet. The values on the x-axis are from 0 to 5 in increments of 1 for each grid line. The values on the y-axis are from 0 to 50 in increments of 10 for each grid line. A line is shown connecting points at ordered pairs 1,10 and 2, 20 and 3, 30 and 4, 40. The title of the graph is Rate of Ascent. What is the rate of change for the relationship represented in the graph? fraction 1 over 40 fraction 1 over 10 10 40 Question 4(Multiple Choice Worth 1 points) (05.03 MC) Barney wants to rent a tent. He has to pay a fixed base cost plus a daily rate for renting the tent. The table shows the amount of money, y, in dollars, that Barney has to pay for renting the tent for x days: Tent Rental Number of days (x) Rent (dollars) (y) 0 3 1 8 2 13 3 18 4 23
Mathematics
1 answer:
liberstina [14]2 years ago
7 0

Answer:

The distance, y, in miles, traveled by a car for a certain amount of time, x, in hours, is shown in the graph below: A graph titled Motion of a Car is shown with Time in hours labeled on x-axis and Distance from Starting Point in miles labeled on y-axis. The scale on the x-axis shows the numbers and the scale on the y-axis shows the numbers There are three straight lines in the graph. The first line joins ordered pair with . The second straight line joins and and the third straight line joins ordered pair with the ordered pair Which of the following best describes the motion of the car shown? It travels for hours, then stops for hours, and finally travels again for hours. It travels for hours, then stops for hours, and finally travels again for hours. It travels for hours, then stops for hour, and finally travels again for hours. It travels for hours, then stops for hour, and finally travels again for hours. Question (Multiple Choice Worth points) ( LC) The graph below shows the height through which an elevator travels, y, in x seconds: A graph is shown with x axis title as Time in seconds. The title on the y-axis is Height of Elevator Above Ground in feet. The values on the x-axis are from toin increments of for each grid line. The values on the y-axis are from to in increments of 10 for each grid line. A line is shown connecting points at ordered pairs 1,10 and 2, 20 and 3, 30 and 4, 40. The title of the graph is Rate of Ascent. What is the rate of change for the relationship represented in the graph? fraction 1 over 40 fraction 1 over 10 10 40 Question 4(Multiple Choice Worth 1 points) (05.03 MC) Barney wants to rent a tent. He has to pay a fixed base cost plus a daily rate for renting the tent. The table shows the amount of money, y, in dollars, that Barney has to pay for renting the tent for x days: Tent Rental Number of days (x) Rent (dollars) (y)

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After the fraction x plus 1 all over 2 minus the fraction x plus 2 all over 3 x have been combined using the least common denomi
nydimaria [60]

Let's work out the process to find the numerator:

(x+2)/2 - (x+1)/3x                   Factor using the LCD, 6x

3x(x+2)/6x - 2(x+1)/6x

(3x² + 6x - 2x - 2)/6x

= (3x² + 4x  - 2)/6x

Answer is 3x² + 4x - 2

Hopefully I did this correct, Not to good with math c':

8 0
3 years ago
During a road trip Tony , Tony drove one third the distance that Lana drove. Mark drives 15 more than Lana drove .The total dist
ale4655 [162]

Answer:

The distance drive by Lana = 201 miles

The distance drive by Mark = 216 miles

The distance drive by Tony = 67 miles  

Step-by-step explanation:

Given as :

The total distance cover by Lana , Tony , Mark = 484   miles

Let The distance drove by Lana = L   miles

The distance drove by Tony = T

The distance cover by Mark = M

So ,  L + T + M = 484 miles

Now, The distance of Tony = \frac{1}{3} of Lana distance

Or,   T = \frac{1}{3} × L

And The distance of Mark = 15 + The distance of Lana

Or,   M = 15 + L

Now.

   L + \frac{1}{3} × L + 15 + L = 484

Or, 2 L + \frac{L}{3} = 484 - 15

Or,  2 L + \frac{L}{3} = 469

Or,  \frac{7 L}{3} = 469

Or,  7 L = 469 × 3

∴     L =  \frac{1407}{7}

I.e   L = 201

The distance drive by Lana = 201 miles

The distance drive by Mark = 15 + L =15 + 201 = 216 miles

The distance drive by Tony =  \frac{1}{3} × 201 = 67 miles

Hence The distance drive by each person is

The distance drive by Lana = 201 miles

The distance drive by Mark = 216 miles

The distance drive by Tony = 67 miles    Answer

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3 years ago
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4 years ago
Can someone help me please? I don't understand this at all
Margarita [4]
X Is a number so ( x +12) a
6 0
3 years ago
What is the x and y intercept of y=1/3x-2, y=12-6x, and y=3x-7? Please show work!
Lana71 [14]

Answer:

y = 1/3x - 2:

  • y - intercept: - 2
  • x - intercept: 6

y = 12 - 6x:

  • y - intercept: 12
  • x - intercept: 2

y = 3x - 7:

  • y - intercept: -7
  • x - intercept: 7/3

Step-by-step explanation:

Hello!

<h3>Slope Intercept Form</h3>

The slope-intercept form of a line is y = mx + b

  • y = output, ordinate
  • m = slope
  • x = input, abscissa
  • b = y-intercept

<h3>y = 1/3x - 2</h3>

The y-intercept is the "b" value of the line, given as -2.

To find the x-intercept, we simply replace the y-value with 0:

  • 0 = 1/3x - 2
  • 2 = 1/3x
  • 6 = x

y - intercept: - 2

x - intercept: 6

____________________________________________________

<h3>y = 12 - 6x</h3>

You can rearrange the equation, y = -6x + 12, to find the y-intercept: 12.

Solving for the x-intercept (remember, replace y with 0):

  • 0 = -6x + 12
  • -12 = -6x
  • 2 = x

y - intercept: 12

x - intercept: 2

____________________________________________________

<h3></h3><h3>y = 3x - 7</h3>

Simply take the "b" value, -7, to find the y-intercept of -7.

Solve for the x-intercept:

  • 0 = 3x - 7
  • 7 = 3x
  • x = 7/3

y - intercept: -7

x - intercept: 7/3

<u><em>Additional Note:</em></u>

You can also solve for the y-intercept by replacing x with 0. This method can be used for any interests, just plug in the opposite variable from what you are solving for with 0.

The proof is that the x-intercept is the value when the y = 0, the x-axis. You can plug in 0 for y to solve for x. Similarly, when solving for the y-intercept, you plug 0 for x as the y-axis is at x = 0.

3 0
2 years ago
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