1) Qual é a equação que representa o perímetro de 103 cm de um triângulo escaleno? *
1 answer:
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<em><u>The system of linear inequalities are:</u></em>
<em><u>Solution:</u></em>
Let "a" be the number of small candles bought
Let "b" be the number of large candles bought
<em><u>He needs to buy at least 20 candles</u></em>
Therefore, number of small candles and number of large candles bought must be at least 20
Thus, we frame a inequality as:
"at least" means greater than or equal to
Here, we used "greater or equal to" symbol because, he can buy 20 candles or more than 20 candles also
From given,
Cost of 1 small candle = $ 2.50
Cost of 1 large candle = $ 7
<em><u>He can spend no more than 80 dollars</u></em>
Which means, he spend maximum 80 dollars or less than 80 dollars also
So we have to use "less than or equal to" symbol
<em><u>Thus, we frame a inequality as:</u></em>
Number of small candles bought x Cost of 1 small candle + number of large candles bought x Cost of 1 large candle 80
<em><u>Thus the system of linear inequalities are:</u></em>
The equation that matches the given table is
y = 10x + 40
Solution:
General equation of a line : y = mx + c
Let us find the equation of the table.
<u>Common differences of X: </u>
0 – 1 = 1, 1 – 2 = 1, 3 – 2 = 1, 4 – 3 = 1, 5 – 4 = 1
<u>Common differences of Y: </u>
50 – 40 = 10, 60 – 50 = 10, 70 – 60 = 10, 80 – 70 = 10, 90 – 80 = 10
m = 10
Substitute m = 10 in general equation of a line
y = 10x + c
To find the constant term, substitute x = 0 and y = 40.
40 = 10(0) + c
40 = 0 + c
40 = c
c = 40
Therefore the equation of a line is y = 10x + 40.
Hence the equation that matches the given table is y = 10x + 40.