Answer:
2. y intercept is at 0 because it needs to go through the origin if it is proportional
3. y intercept is positive the line crosses above 0. when y intercept negative the line crosses below 0
4. y intercept is 0
5. y intercept is 1.8. it represents the time remaining as its starting timer.
6. (0, 1). y intercept is 1
7. y intercept is -4
8. y intercept is 0
9. 80m
Answer:
The child has 6 dimes and 5 quarters.
Step-by-step explanation:
Let q and d represent the number of quarters and of dimes respectively.
Then q + d = 11 (Equation A), and ($0.25/quarter)q + ($0.10/dime)d = $1.85 (Equation B).
Multiply the 2nd equation by 100 to remove the decimal fractions:
25q + 10d = 185 (Equation C)
Now multiply the 1st equation by -10 to obtain -10q - 10d = -110 (Equation D), and combine this result with Equation C:
-10q - 10d = -110
25q + 10d = 185
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15q = 75, and so q = 75/15 = 5.
According to Equation A, q + d = 11. Replacing q with 5, we get:
5 + d = 11, and so d = 6.
The child has 6 dimes and 5 quarters.
Answer:
W1 = ( -75, 20, 1 , 0 )
W2 = ( 25, -7 , 0, 1 )
Step-by-step explanation:
attached below is the remaining part of the solution
for a homogenous system of equation ; Ax = 0
x1 + 4x2 -5x3 + 3x4 = 0
-x2 + 20x3 -7x4 = 0 note: x3 and x4 are free variables
we can take x3 = 0 and x4 = 1 , hence ; x2 = -7
∴ x1 - 28 + 3 = 0 = x1 = 25
W2 = ( x1 ,x2, x3, x4 ) = ( 25, -7 , 0, 1 )
now lets take x3 = 1 and x4 = 0 hence x2 = 20 , x1 = -75
∴ W1 = ( x1 , x2 , x3, x4 ) = ( -75, 20, 1 , 0 )
It’s the first one since parallel means same slope
