Answer:
Step-by-step explanation:
a) See below for the next diagram in sequence.
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b) The numbers of straws in each diagram are ...
6, 11, 16, 21, ...
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c) Each term is 5 more than the previous one, so the recursive rule for the number of straws is ...
s[1] = 6
s[n] = s[n-1] +5
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d) The next three terms of the sequence are ...
..., 26, 31, 36, ...
Answer: The system of equations is:
x + 2y + 2 = 4
y - 3z = 9
z = - 2
The solution is: x = -22; y = 15; z = -2;
Step-by-step explanation: ONe way of solving a system of equations is using the Gauss-Jordan Elimination.
The method consists in transforming the system into an augmented matrix, which is writing the system in form of a matrix and then into a <u>Row</u> <u>Echelon</u> <u>Form,</u> which satisfies the following conditions:
For this question, the matrix is a Row Echelon Form and is written as:
or in system form:
x + 2y + 2z = 4
y + 3z = 9
z = -2
Now, to determine the variables:
z = -2
y + 3(-2) = 9
y = 15
x + 30 - 4 = 4
x = - 22
The solution is (-22,15,-2).