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lesya692 [45]
3 years ago
5

Graph the following inequality 6x-2y>8 Please help me and show me how to graph it.

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
8 0

Answer:

6x - 2y > 8

<u><em>First, solve the inequality (Isolate the y-variable & put it in function format):</em></u>

<u><em /></u>6x - 2y > 8\\-2y > 8 - 6x\\(-1)(-2y) > (-1)(8-6x)\\2y < 6x-8\\y < \frac{6x-8}{2} \\y < 3x - 4

<u><em>Second, graph the function y = 3x - 4 on the graph.</em></u>

  • It should be linear.
  • Because the inequality is < and not ≤, the values on the line aren't included in the solution, so your line should be dotted, not solid.

<u><em>Third, shade in the area below the line(where y-values are smaller).</em></u>

  • Since the inequality is <, that means the solutions are smaller than the solutions of the function 3x - 4.

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Find the first five terms that correspond with the following expression.<br><br> 4n + 2
Lorico [155]

Answer:

6,10,14,18,22

Step-by-step explanation:

4n+2

Let n=1  4(1)+2 = 4+2 = 6

Let n=2  4(2)+2 = 8+2 = 10

Let n=3  4(3)+2 = 12+2 = 14

Let n=4  4(4)+2 = 16+2 = 18

Let n=5  4(5)+2 = 20+2 = 22

7 0
2 years ago
The weights of cars passing over a bridge have a mean of 3,550 pounds and
Dovator [93]

The approximate probability that the weight of a randomly-selected car passing over the bridge is more than 4,000 pounds is 69%

Option C is the correct answer.

<h3>What is Probability ?</h3>

Probability is defined as the study of likeliness of an event to happen.

It has a range of 0 to 1.

It is given in the question that

The weights of cars passing over a bridge have a mean of 3,550 pounds and standard deviation of 870 pounds.

mean  = 3550

standard deviation,  = 870

Observed value, X = 4000

Z = (X-mean)/standard deviation = (4000-3550)/870 = 0.517

Probability of weight above 4000 lb

= P(X>4000) = P(z>Z) = P(z> 0.517) = 0.6985

The approximate probability that the weight of a randomly-selected car passing over the bridge is more than 4,000 pounds is 69%

To know more about Probability

brainly.com/question/11234923

#SPJ1

6 0
2 years ago
Help please if you can
enot [183]

Answer: mutiply x by itself to get y

Step-by-step explanation:

6 0
3 years ago
The odds of winning a rifle are 1:9 the probability of winning a carnival game is 0.15 does the raffle or the carnival game give
Lilit [14]

Answer:

Hence the carnival game gives you better chance of winning.

Step-by-step explanation:

Let the event of win be given by 1/10 in the game of rifle then the event of loose is given by 9/10

the

Odds in favor of a game are given by  = P(Event)/ 1- P(Event)

Odds in favor of winning a rifle are given by = 1/10/ 1- 1/10

                                                                         =1/10/9/10

                                                                          =1/9

                                                                             = 0.111

The probability of winning aa rifle game is 0.111

The probability of winning the carnival game is 0.15

Comparing the two probabilities   0.111:0.15

The probability of  winning carnival game is greater than winning a rifle game

0.15>0.11

Hence the carnival game gives you better chance of winning.

3 0
3 years ago
A baker is making cakes for a big party. She uses 1/4 cup of oil for each cake. How many cakes can she make if she has a bottle
Svetradugi [14.3K]

Answer:

24 Cups

Step-by-step explanation:

you just need to divide 6 by 1/4, whihc equals 24/1

3 0
2 years ago
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