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8090 [49]
3 years ago
11

35 solve the following syste

Mathematics
1 answer:
blondinia [14]3 years ago
8 0

Part A: The solution is (-0.923,5.692)

Part B: The point (3,7) is not in the solution set.

Explanation:

Part A: The given inequalities are 3 x+4 y>20 and x

The solution can be determined by solving the two inequalities by substitution method.

Changing inequalities to equality, we have,

x=3 y-18 and 3 x+4 y=20

Let us substitute x=3 y-18 in the equation 3 x+4 y=20 , we get,

3 (3y-18)+4 y=20

   9y-54+4y=20

                  13y=74

                     y=5.692

Substituting y=5.692 in x=3 y-18, we get,

x=3 (5.692)-18

  =17.076-18

x=-0.923

Thus, the solution set is (-0.923,5.692)

Part B: Now, we shall determine whether the point (3,7) is in the solution set.

Let us substitute the point (3,7) in the inequalities 3 x+4 y>20 and x, we get,

3 (3)+4 (7)>20

      9+28>20

            37>20

Also, substituting (3,7) in x, we get,

3

3

3

Since, the point (3,7) does not satisfy one of the inequality x , the solution set does not contain the point (3,7)

Thus, the point (3,7) is not in the solution set.

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Given:
Length = x + x + 3 = 2x + 3
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Area = length * width 
91 ft² = (2x + 3) (2+x)
91 = 4x + 2x² + 6 + 3x
0 = 2x² + 7x + 6 - 91
0 = 2x² + 7x - 85

(2x + 17) ( x - 5)

x = -17/2 or  x = 5

Let x = 5 ; 

length = 2x + 3 = 2(5) + 3 = 13
width = 2 + x = 2 + 5 = 7

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Perimeter = 2(length + width)
Perimeter = 2(13 + 7)
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7 0
3 years ago
Read 2 more answers
Please Please help me
Inessa [10]

Answer:

1. 30

Step-by-step explanation:

First, place the numbers from least to greatest.

11,13,23,37,45,58

Then, find the middle number (or two middle numbers).

In this case, the middle numbers are 23 and 37.

Third, we find the mean of these numbers.

23+37=60

60/2=30

So your answer is 30.

Repeat this method for the other problems.

4 0
2 years ago
The manager of a grocery store selected a random sample of 100 customers to estimate the average checkout time. The 90% confiden
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c

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2 years ago
How can you find the value of n in this equation?
lesya692 [45]
The answer would be n=37 because…
40+n=77
subtract 40 on both sides, cancelling it out on the left side and 77-40=37 so:
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4 0
3 years ago
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Appended below is the code for Selection Sort. You really do not have to understand the details of the code. If this algorithm t
kramer

Answer:

12 seconds.

Step-by-step explanation:

Let t represent time taken by code to sort an array of 24 elements.

We have been given that an algorithm takes 4 seconds to sort an array of 8 elements. We are asked to find the time it will take for same code to sort an array of 24 elements.

We will use proportions to solve our given problem.    

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\frac{t}{24}\cdot 24=\frac{4}{8}\cdot 24

t=\frac{4}{1}\cdot 3

t=12

Therefore, it will take 12 seconds for the same code to sort an array of 24 elements.

8 0
3 years ago
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