It would be the third one
Answer:
y = 5x2 + 10x - 15
We want this in format y = a(x-h)2 + k
where the vertex will be at (h,k)
y = 5(x2+2x) - 15
Complete the square on x2+2x
y = 5(x2+2x+1) - 15 - 5
We subtract 5 at the end because we are actually adding 5(1) = 5
so we need to remove it also to keep the total equal
y = 5(x+1)2 - 20
The vertex is at (-1,-20)
Okay, this is not really an answer, but I think in 2020, we will be in the 20 trillions. O know that is not the answer you were looking for, but its all I got.
Answer:
Maria did her job properly. Both gears are perpendicular.
Step-by-step explanation:
Recall that given vectors a and b, they are perpendicular if and only if
=0. If
. Then
.
IN our case a=(5,-1,2) and b) (1,-3,-4). So,

So both gears are perpendicular.
Answer:
240 visitors
Step-by-step explanation:
We are given the following in the question:
Percentage of visitors that are student to art museum = 60%
Total number of students to museum = 144
We have to find the total number of visitors to the museum.
Let x be the total number of visitors to the museum.
Thus, we can write the equation:

Thus, there were 240 visitors to the art museum on that day.