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Snowcat [4.5K]
2 years ago
10

Which linear inequality is represented by the graph?

Mathematics
1 answer:
Effectus [21]2 years ago
7 0

Answer:

The equation of the line is y ≥ 1/3(x)-1

Step-by-step explanation:

Given

The line intersects y-axis at (0,-1). Therefore, the y-intercept is -1

The line passes through the points (0,-1)  and (3,0)

The slope can be obtained as follows,

m = <u>0-(-1)</u>

        3-0

    = 1/3

The linear equation with slope and intercept  is given as follows.

y = mx + c

Substitute 1/3 for m, 3 for x and 0 for y  in equation  to obtain the value of

c .

0 = 1/3 *3 + c

c= -1

To check whether the equation includes origin substitute 0 for x and 0 for y in equation

Therefore, y≥ mx+c

                      = 1/3*x-1

Hence, Linear inequality represented is y ≥ 1/3(x) -1

Learn more at below link:

brainly.com/question/4276177

#SPJ10

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What is the domain of the function y= 4x+6 - 7?
Fantom [35]
<h2>Answer:</h2>

<em>Domain:</em>  (−∞,∞)  ,  {x|x∈R}

<h2> explanation:</h2>

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

<u><em>Interval Notation:</em></u>

(−∞,∞)

<u><em>Set-Builder Notation:</em></u>

{x|x∈R}

i hope this helped. please give brainliest if it did!

4 0
3 years ago
A boat traveled 54 km with the stream and 42 km against the stream spending a total of as much time as it would spend while trav
Genrish500 [490]

Answer:

  • 24 km/h

Step-by-step explanation:

  • The speed of the boat  in the lake = x
  • The speed of the current = 3 km/h

<u>Required equation:</u>

  • 54 / (x + 3) + 42 / (x - 3) = 96/x
  • 9x(x - 3) + 7x(x + 3) = 16(x + 3)(x - 3)
  • 9x² - 27x + 7x² + 21x = 16x² - 144
  • 6x = 144
  • x = 144/6
  • x = 24 km/h

7 0
3 years ago
A bag contains three marbles, eight blue marbles and nine red marbles. If the marbles are picked at random, what is the probabil
Phoenix [80]

The probability of obtaining two blue marbles without replacement is equal to 0.15.

We are given that:

The number of yellow marbles = 3

Number of red marbles = 9

Number of Blue marbles = 8

Total marbles = 3 + 9 + 8

Total marbles = 20

Now, we have to calculate the probability of obtaining two blue marbles without replacement.

The probability will be:

P( obtaining two blue marbles without replacement )  = 8 / 20 × 7 / 19

P( obtaining two blue marbles without replacement )  = 56 / 380

P( obtaining two blue marbles without replacement )  = 0.15

Therefore, the probability of obtaining two blue marbles without replacement is equal to 0.15.

Learn more about probability here:

brainly.com/question/24756209

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5 0
2 years ago
Gillian and her friends are playing a card game using a standard deck, but without the aces. In the deck, there are 36 numbered
Nostrana [21]

Answer:

30

Step-by-step explanation:

To find the best prediction for the amount of numbered cards that will be drawn during the game, first find the probability of drawing a numbered card. There are 36 numbered cards and 48 total cards. So, the probability of drawing a numbered card is  or .

Now, multiply the probability by the number of times a card will be drawn from the deck. Since there are 10 rounds and 4 players, a card will be drawn from the deck 10 × 4, or 40, times. So, multiply  by 40.

Therefore, the best prediction for the amount of numbered cards that will be drawn during the game is 30.

3 0
2 years ago
PLEASE HELP MATH
Novosadov [1.4K]
I believe C is your answer. 
I hope this helps!
7 0
3 years ago
Read 2 more answers
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