Answer:
either a full cup or 1 1/2
Step-by-step explanation:
The LCD (least common denominator) is the lowest number that both denominators (12 and 5) go into. The lowest number that both 5 and 12 go into is 60. The LCD of the two fractions is 60.
Assuming that all tiles must stay whole it would be:
1×54
2×27
3×18
6×9
Answer:
The function touches the damping factor
at x=
and x=
The x-intercept of f(x) is
at x=
Step-by-step explanation:
Given function is f(x)=
and damping factor as y=
and y=
To find when function touches the damping factor:
For f(x)=
and y=
Equating the both the equation,


x=
For f(x)=
and y=
Equating the both the equation,


x=
Therefore, The function touches the damping factor x=
and x=
To find x-intercept of f(x):
For x-intercept, y=0
f(x)=
y=

Hence,
is always greater than zero.
Therefore,
x=
Thus,
The x-intercept of f(x) is at x=
Answer:
The graph is attached Below and the plotting is given below.
Step-by-step explanation:
Given:
-9x + 6y = 18
Solution:
To draw a line on a graph the required minimum two points but here we will have three points as point A, point B, and point C.
For point A
Put x = -4 in the given equation we get
-9×-4 + 6y = 18
6y = 18-36
∴ 
∴ Point A ≡ ( -4, -3 ).
For point B
Put x = -2 in the given equation we get
-9×-2 + 6y = 18
6y = 18 - 18
6y = 0
∴ 
∴ Point B ≡ ( -2, 0 ).
For point C
Put x = 0 in the given equation we get
-9×0 + 6y = 18
6y = 18
∴ 
∴ Point C ≡ ( 0, 3 ).
Now we have Point A ,B and C join it and you will have Line.