5p = 80b
3(5p) = (80b)3
15p = 240b
Lan need 240g of butter to make fish pie for 15 people.
For this case we have that by definition, the equation of the line of the slope-intersection form is given by:
Where:
m: It's the slope
b: It is the cut point with the y axis.
By definition, if two straight lines are parallel then their slopes are equal. Thus, the slope of the line sought will be
We substitute the given point to find b:
Finally the line is:
Answer:
Answer:
The following functions would move the graph of the function to the right on the coordinate plane.
C)
G)
Step-by-step explanation:
We need to check for those functions which shows a horizontal shift of graph to the right.
Translation Rules:
Horizontal shift:
If the function shifts units to the left.
If the function shifts units to the right.
Vertical shift:
If the function shifts units to the up.
If the function shifts units to the down.
Applying rules to identify the translation occuring in each of the given functions.
A)
Translation:
The translation shows a shift of 2 units to the left and 7 units down.
B)
Translation:
The translation shows a shift of 3 units down.
C)
Translation:
The translation shows a shift of 3 units to the right and 1 units up.
D)
Translation:
The translation shows a shift of 4 units up.
F)
Translation:
The translation shows a shift of 6 units to the left.
G)
Translation:
The translation shows a shift of 5 units to the right.
Using the triangle of pascal we have that the expression equivalent to (x + y) ^ 6 is given by:
x ^ 6 + 6x ^ 5y + 15x ^ 4y ^ 2 + 20x ^ 3y ^ 3 + 15x ^ 2y ^ 4 + 6xy ^ 5 + y ^ 6
Therefore, the coefficients of the expansion are given by:
1, 6, 15, 20, 15, 6, 1
Answer:
The coefficients corresponding to k = 0, 1, 2, ..., 6 in the expansion of (x + y) ^ 6 are 1, 6, 15, 20, 15, 6, 1
205×3/100=6.15
Total students
205-6.15=198.85
we do not use decimal numbers
198.89=199 students