Answer:
Step-by-step explanation:
<u>Graphs</u>
The graph shows the amount of water in gallons as a function of time in seconds.
We are required to find the amount of water in the bucked after 1 second. Since the graph does not show an exact location for t=1, we must find the equation of the line.
Two points are clear on the graph: (0,0) (12,5). This gives us the necessary information to find the equation of the line, which has the form:
Where w is the amount of water in the bucket, t is the time, and m and b are two constants to be determined.
Using the point (0,0):
It follows that b=0
The equation now takes the form:
Using the point (12,5):
We find m:
The final equation is:
Substituting t=1:
The bucket has 5/12 gallons of water at t=1 second. Expressing the answer as an ordered pair:
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:
One Solution
Step-by-step explanation:
Answer:
y=0
Step-by-step explanation:
add 2 to both sides. The -2 on the left side cancels out leaving Y and the -2 on the right side adds to 0
17% i hope homie haven't been in school for a hot minute but good enough eh?
