On a coordinate plane, a solid straight line has a positive slope and goes through (0, negative 1) and (3, 0). Everything above and to the left of the line is shaded.Which linear inequality is represented by the graph?

y ≤ One-thirdx − 1
y ≥ One-thirdx − 1
y < 3x − 1
y > 3x − 1

Answers

Answer 1
Answer:

Answer:

Option B.

Step-by-step explanation:

A solid straight line passes through (0, -1) and (3, 0)

Slope of the line = (y-y')/(x-x')

= (0+1)/(3-0)

= (1)/(3)

Equation of the line passing through (0, -1) will be  

y - y' = m(x - x')

y+1=(1)/(3)(x-0)

y=(1)/(3)x-1

Since this line is solid then there will the sign of (≥ or ≤)

If everything above and to the left of the line is shaded then the inequality will be

y\geq (1)/(3)x-1

Therefore, the answer will be option B. y\geq (1)/(3)x-1

Answer 2
Answer:

Answer: C

Step-by-step explanation:

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How do you find the slope?“The cost y(in dollars) to rent a kayak is proportional to the number x of hours that you rent the kayak. It costs $27 to rent the kayak for 3 hours.”

Answers

Answer:

9/1

Step-by-step explanation:

$27 for 3 hours. To find the slope, it always has to be over 1 hour because it's a unit rate. 27/3 would be 9. It makes sense too because $9 per 1 hour is the same as $27 for 3 hours.

Answer:

the slope is 9

Step-by-step explanation:

The slope is how much it cost per hour so that means if you do 27 divided by 3 then you get 9 cause 3 hours is 27 but one hour is 9

how you check if your right is by adding 9 up 3 times

9+9+9=27

Hope this Helps!

The graph shows the miles per gallon of gasoline a car uses on a trip.What does the rate of change represent in this situation?



Select from the drop-down menu to correctly complete the sentence.


The rate of change represents ​

Answers

Answer: The rate of change represents  number of miles traveled for every 1 gallon of gas used.


Step-by-step explanation:

A rate of change is a rate that illustrates how dependent variable changes in relation to independent variable.

Here the independent variable is "gas used in gallons".

and the dependent variable is "distance traveled in miles"

Thus the rate of change =\frac{\text{change in distance}}{\text{change in amount of gas}}

Thus, It illustrates number of miles traveled for every 1 gallon of gas used.

Hence, The rate of change represents number of miles traveled for every 1 gallon of gas used.


Answer:

1.) The number of miles traveled for every 1 gallon of gas used.

Step-by-step explanation:

The rate of change represents number of miles traveled for every 1 gallon of gas used.

I also took the test.

True or false: arc measure is the same length as arc length

Answers

Answer:

arc measure and arc length are two different concepts. arc measure is specifically the degree measure of the central angle that defines the arc, while the arc length is the length of the arc itself as a segment of the circumference

What is 10-2(x-y)=3x-1 in standard form?

Answers

12212121212121212121

Question 3 of 102 Points
What is the midpoint of the segment shown below?
(-1,2)
(73)
O A. (6,3)
O B. (3,3)
O C. (3.)
O D. (6,5)
10

Answers

The midpoint of the segment is approximately (3, 2.5).

What is a midpoint of a line segment?

The midpoint of a line segment is given as,

x = (a + c)/2

y = (b + d) / 2

Where (x, y) is the midpoint and (a, b) and (c, d) are the two endpoints.

We have,

To find the midpoint of the segment between two points, we take the average of their x-coordinates and the average of their y-coordinates.

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

where (x1, y1) = (-1, 2) and (x2, y2) = (7, 3)

Midpoint

= ((-1 + 7)/2, (2 + 3)/2)

= (6/2, 5/2)

= (3, 2.5)

Therefore,

The midpoint of the segment is approximately (3, 2.5).

Learn more about midpointsoflinesegments here:

brainly.com/question/13792156

#SPJ7

Answer:

Step-by-step explanation:

First, these are points in a plane, hence should be (-1,2) and (7,3)

Then we'll have

-1+7=6/2=3

2+3=5/2=2.5

Then midpoint is (3,2.5)

What comes after a decagon?

Answers

The Hendecagon comes after.
Hendecagon (11) comes after decagon.(10)