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rjkz [21]
2 years ago
11

Graph the solution set for this inequaltity: -6x-3y≤18

Mathematics
2 answers:
Nuetrik [128]2 years ago
8 0

Graph:

Answer:

y ≥ -2x – 6

[y is greater than or equal the negative quantity of two x minus six]

[any point on or above the line y = -2x –6]

example of solutions: {(0,-6) (1,-8) (2,-10), (3,-12), (1,-7), ...}

artcher [175]2 years ago
5 0

Answer:

Step-by-step explanation: Graph it by finding the boundary line y≥ 6-2x

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The value of a in the equation ax + y = 5 , if x = 2 and y = 3 is a) – 1 b) 0 c) 1
sasho [114]

Answer:

c) 1

Step-by-step explanation:

=> ax+y = 5

<u><em>Putting x =2, y =3</em></u>

=> a(2)+3 = 5

=> 2a = 5-3

=> 2a = 2

<em>Dividing both sides by 2</em>

=> a = 1

3 0
3 years ago
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Laboratory experiment shows that the life of the average butterfly is normally distributed with a mean of 18.8 days and a standa
inessss [21]

Answer:

a) 0.4164

Step-by-step explanation:

Mean lifespan (μ) = 18.8 days

Standard deviation (σ) = 2 days

For any given lifespan 'X', the z-score is:

z=\frac{X- \mu}{\sigma} \\z=\frac{X- 18.8}{2}

For X=12.04 days:

z=\frac{12.04 - 18.8}{2} \\z=-3.38

A z-score of -3.38 falls in the 0.036-th percentile of a normal distribution.

For X=18.38 days:

z=\frac{18.38 - 18.8}{2} \\z=-0.21

A z-score of -3.38 falls in the 41.68th percentile of a normal distribution.

The probability that a butterfly lives between 12.04 and 18.38 days is

P=41.68-0.036\\P=41.64\%\ or\ 0.4164

6 0
3 years ago
A person invests 9000 dollars in a bank. The bank pays 4.25% interest compounded daily. To the nearest tenth of a year, how long
mezya [45]

Answer:

The person must invest the money in the bank for 18 years to reach $19600, if a person invests 9000 dollars in a bank and the bank pays 4.25% interest compounded daily.

Step-by-step explanation:

4 0
3 years ago
A total of 259 tickets were sold to a benefit concert for a total of $5,312. Two types of tickets were sold: adult tickets were
jeyben [28]

Answer:

113

Step-by-step explanation:

Let the number of adult tickets sold =a

Let the number of student tickets sold =s

A total of 259 tickets were sold, therefore:

a+s=259

Adult tickets were sold for $24 each and student tickets were sold for $16 each.

Total Revenue = $5,312

Therefore:

24a+16s=5,312

We solve the two derived equations simultaneously.

From the first equation

a=259-s

Substitute a=259-s into 24a+16s=5,312

24(259-s)+16s=5,312

6216-24s+16s=5,312

-8s=5,312-6216

-8s=-904

Divide both sides by -8

s=113

Therefore, 113 student tickets were sold.

4 0
3 years ago
Jonathan worked at McDonalds 20 hours per week and earned $195. Use the equation 20h = 195 to find Jonathan's hourly wage.
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Jonny earns $9.75 an hours. Divide 195 by 20 to get the answer.
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3 years ago
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