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8090 [49]
2 years ago
11

35 solve the following syste

Mathematics
1 answer:
blondinia [14]2 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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Answer:

(b) 0.251

Step-by-step explanation:

1. Standard deviation equation:

SD=\sqrt{\frac{\sum\limits^N_i {(x_{i}-X)^{2}  } }{N} }

Where X is the mean of the data, and N the amount of data. Then, N=5

2. Estimate the Mean:

X=\frac{0.750+0.750+0.200+0.600+0.200}{5}=\frac{2.5}{5}=0.5\\

3. Caclulate Standard deviation:

SD=\sqrt{\frac{{(0.750-0.500)^{2}+(0.750-0.500)^{2}+(0.200-0.500)^{2}+(0.600-0.500)^{2}+(0.200-0.500)^{2}  } }{5} }

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7 0
3 years ago
Which is one purpose of cell division?
Lady_Fox [76]
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7 0
2 years ago
Adam exchanged British pounds for Swiss franc He changed £400 into 592 francs What was the exchange rate of British pounds to Sw
OLEGan [10]

Answer: 1 : 1.48

Step-by-step explanation:

Adam was able to change £400 into 592 francs which means that the British pound is stronger because it was able to buy more Swiss francs.

The exchange rate can be gotten using direct proportion:

400 : 592

1       : x

Cross multiply:

400x = 592

x = 592/400

x = 1.48

Exchange rate is:

= 1 : 1.48

5 0
3 years ago
Please help me with this!!
bearhunter [10]

Answer:

8.06

Step-by-step explanation:

Use the Pythagorean theorem:

a^{2} +b^{2} =c^{2}

The hypotenuse is always the slanted side, or c (x in this picture), but the other numbers can be interchanged. Doesn't matter.

Plug the numbers 4 and 7 into the formula.

4^{2} +7^{2} =c^{2} \\

Now evaluate them to get c^2

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To get c, take the square root of 65

\sqrt{65}  = 8.06

6 0
2 years ago
3 tenths +4 tenths +__________tenths
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Well four plus seven would equal seven tenths.

6 0
3 years ago
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