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gavmur [86]
3 years ago
7

Which is the graph of 2x + 3y >-3?

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
4 0

Answer:

The third graph is correct for the inequality 2x + 3y > -3

Step-by-step explanation:

The slope of the graph is –2/3.

The y-intercept is –1

The area above the dashed be line is shaded.

To verify, choose a coordinate in the shaded area, substitute the values for x and y. Calculate and check.

For example: (1,1)

2(1) + 3(1) > –3

2 + 3 > –3

5 > –3 True.

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C. is the correct answer because (x+3)^2 is x^2+6x+9
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3 years ago
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A varies directly with B. If A=44 when B=110, find A when B=140
Kay [80]

\frac{44}{a}  =  \frac{110}{140}

a =  \frac{44 \times 140}{110}  = 56

7 0
3 years ago
n a group of 40 people, 10 people are healthy. The 30 unhealthy people have either high blood pressure, high cholesterol, or bot
aalyn [17]

Answer:

If a person is randomly selected from this group, the probability that they have both high blood pressure and high cholesterol is P=0.25.

Step-by-step explanation:

We can calculate the number of people from the sample that has both high blood pressure (HBP) and high cholesterol (HC) using this identity:

N(\text{HBP or HC})=N(\text{HBP})+N(\text{HC})-N(\text{HBP and HC})\\\\\\ N(\text{HBP and HC})=N(\text{HBP})+N(\text{HC})-N(\text{HBP or HC})\\\\\\ N(\text{HBP and HC})=15+25-30=10

We can calculate the probability that a random person has both high blood pressure and high cholesterol as:

P(\text{HBP and HC})=\dfrac{10}{40}=0.25

3 0
3 years ago
A store sells packages of 48 Snickers bars for $28 per package, and packages of 36 KitKat bars for $22.50 per package. Mrs. Swee
serg [7]

Answer: 96 snickers and 108 kitkats

Step-by-step explanation: you should do system of equations and then it would be 48s+36k=204 and 28s+22.5k=123.5, after you do the math, the answer turns out to be 96 snickers and 108 kitkats. :)

5 0
3 years ago
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At a local restaurant, the amount of time that customers have to wait for their food is normally distributed with a mean of 36 m
Degger [83]

The probability that a randomly selected customer will have to wait between 32 minutes and 37 minutes is 59.81%

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Z score is given by:

z = (raw score - mean) / standard deviation

Given mean of 36 minutes and a standard deviation of 3 minutes.

For x = 32:

z = (32 - 36)/3 = -1.33

For x = 37:

z = (37 - 36)/3 = 0.33

P(-1.33 < z < 0.33) = P(z < 0.33) - P(z < -1.33) = 0.6179 - 0.0198 = 0.5981

The probability that a randomly selected customer will have to wait between 32 minutes and 37 minutes is 59.81%

Find out more on equation at: brainly.com/question/2972832

#SPJ1

7 0
2 years ago
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