We are given
equation of line as
we will check each options
option-A:
we can plug (3,1)
x=3 and y=1
we can see that
they are not equal
so, this is FALSE
option-B:
we can plug (-1,-2)
x=-1 and y=-2
we can see that
they are equal
so, this is TRUE
option-C:
we can plug (-3,4)
x=-3 and y=4
we can see that
they are not equal
so, this is FALSE
option-D:
we can plug (2,6)
x=2 and y=6
we can see that
they are not equal
so, this is FALSE
The function
is a parabola concave up, whose solutions are
from here, you can use the quadratic formula
to find that the solutions of the parabola are
So, the parabola is positive if (which wouldn't make sense in our case) or
So, if Tanya caters 25 meals she breaks even, and starting with the 26th meal she will begin to profit.
Answer:
23
Step-by-step explanation:
Here is the complete question
Find the volume of the parallelepiped with one vertex at the origin and adjacent vertices at (1, 0, -3), (1, 2, 4), and (5, 1, 0).
Solution
We find the volume of the parallelepiped by making a 3 × 3 column matrix whose columns are the corresponding coordinates of the vertices of the parallelepiped.
So, (1, 0, -3), (1, 2, 4) and (5, 1, 0)
The determinant of A is the volume of the parallelepiped. So,
detA = 1(2 × 0 - 4 × 1) - 1(0 × 0 - (-3) × 1) + 5(0 × 4 - (-3) × 2)
= 1(0 - 4) - 1(0 + 3) + 5(0 + 6)
= 1(-4) - 1(3) + 5(6)
= -4 - 3 + 30
= 23
So the volume of the parallelepiped is 23