Answer: <u>30</u>
Step-by-step explanation:
Yvette- <em>100-7</em>
Isandro- <em>0+3</em>
1.) I'm going to speed up the process and multiply by 5.
Yvette: <em>100-7</em>
7 × 5 = 35
100-35= 65
65-35= 30
Isandro: <em>0+3 </em>
3 × 5 = 15
0+15= 15
15+15=<em> </em>30
2.) If they keep going on this pattern they will have the same number on the 10 round.
Answer:
-89
Step-by-step explanation:
The first term of the sequence is a1 = -12.
The common difference between terms is ...
d = -13 -(-12) = -1
The generic term is given by ...
an = a1 +d(n -1)
Then the 78th term is ...
a78 = -12 +(-1)(78 -1) = -12 -77
a78 = -89
Answer:
78
Step-by-step explanation:
Answer:
x = -34
, y = 31
Step-by-step explanation suing Gaussian elimination:
Solve the following system:
{2 x + 3 y = 25
3 x + 4 y = 22
Express the system in matrix form:
(2 | 3
3 | 4)(x
y) = (25
22)
Write the system in augmented matrix form and use Gaussian elimination:
(2 | 3 | 25
3 | 4 | 22)
Swap row 1 with row 2:
(3 | 4 | 22
2 | 3 | 25)
Subtract 2/3 × (row 1) from row 2:
(3 | 4 | 22
0 | 1/3 | 31/3)
Multiply row 2 by 3:
(3 | 4 | 22
0 | 1 | 31)
Subtract 4 × (row 2) from row 1:
(3 | 0 | -102
0 | 1 | 31)
Divide row 1 by 3:
(1 | 0 | -34
0 | 1 | 31)
Collect results:
Answer: {x = -34
, y = 31
20 because when you divide 12 by 3/5 you get 20 use a calculator
