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
Answer:
78%
Step-by-step explanation:
Given the stem and leaf plot above, to find the median percentage for boys in the German test, first, write out the data set given in the stem and leaf diagram as follows:
40, 46, 46, 47, 69, 70, [78, 78,] 79, 82, 87, 90, 90, 95
The median value is the middle value in the data set. In this case, we have an even number of data set which are 14 in number.
The median for this data set would be the average of the 7th and 8th value = (78+78) ÷ 2 = 156/2 = 78
Median for boys = 78%
The pen and banana were impulse, because he didn't go to the store to buy them.. he added that while he was in the checkout line.
Answer is B.
M = (f(5) -f(-2))/(5 -(-2)) = (-10 -1)/7
m = -11/7
The slope of the line is -11/7.
