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aleksley [76]
3 years ago
7

Andrew soccer team scored 16 goals during the season. Andrew, Danielle, Mel and Renee scored all the teams goals. Andrew scored

three more goals than Danielle and two more goals than Mel. Mel scored one more gold and Renee. How many goals did Mel score?
Mathematics
1 answer:
VashaNatasha [74]3 years ago
8 0

Answer:

Step-by-step explanation:

a + d + m + r = 16

a = d + 3......d = a - 3

a = m + 2.......m = a - 2

m = r + 1.......r = m - 1.......r = (a - 2) - 1......r = a - 3

a + (a - 3) + (a - 2) + (a - 3) = 16

4a - 8 = 16

4a = 16 + 8

4a = 24

a = 24/4

a = 6 <==== andrew scored 6

d = a - 3.....d = 6 - 3.....d = 3 <=== danielle scored 3

m = a - 2......m = 6 - 2.....m = 4 <==== mel scored 4

r = a - 3......r = 6 - 3 ......r = 3.......renee scored 3

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Answer:

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Step-by-step explanation:

Given

T:R^3->R^2

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Required

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Where

T(x) = [T(e_1)\ T(e_2)\ T(e_3)]\left[\begin{array}{c}x_1&x_2&x_3\\-&&x_n\end{array}\right]

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T(e_1) = (1,2)

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In matrix:

(a,b) is represented as: \left[\begin{array}{c}a\\b\end{array}\right]

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T(e_3) = (2,-6)=\left[\begin{array}{c}2\\-6\end{array}\right]

Substitute the above expressions in A = [T(e_1)\ T(e_2)\ T(e_3)]

A = \left[\begin{array}{ccc}1&-4&2\\2&6&-6\end{array}\right]

Hence, the standard of the matrix A is:

A = \left[\begin{array}{ccc}1&-4&2\\2&6&-6\end{array}\right]

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