6x^2 +30x - 36
6( x^2 +5x -6)
6(x^2 -x+6x-6)
6[ x(x-1) 6(x-1)]
(x-1) (x+6)
V1=(-2,4)=(x1,y1)→x1=-2, y1=4
V2=(4,0)=(x2,y2)→x2=4, y2=0
V3=(2,-3)=(x3,y3)→x3=2, y3=-3
V4=(x4,y4)→x4=?, y4=?
V1-V2
dx=x2-x1=4-(-2)=4+2→dx=6
dy=y2-y1=0-4→dy=-4
V4-V3
dx=x3-x4→6=2-x4
Solving for x4:
6=2-x4→6-2=2-x4-2→4=-x4→(-1)(4=-x4)→-4=x4→x4=-4
dy=y3-y4→-4=-3-y4
Solving for y4:
-4=-3-y4→-4+3=-3-y4+3→-1=-y4→(-1)(-1=-y4)→1=y4→y4=1
V4=(x4, y4)→V4=(-4, 1)
Answer: The coordinates of the fourth vertex are (-4,1)
Answer:
1/4
Step-by-step explanation:
The classical probability assessment works based on the principle that the probability of an event occurring is equal to the number of times the event occurs divided by total number of outcomes.
That is:
P(A) = n(A) / N
Therefore, the probability that the next customer will buy a computer will be:
P(c) = 25 / 100 = 1/4
Answer:
The given data represents, the 30% of TOTAL CASH INFLOW = $56,700 and it is in the power tools department.
Step-by-step explanation:
Here, according to the question:
The estimated cash flow of POWER TOOLS department = $56,700
Also, the probability assessment = 30%
So, the given 30% determines the percentage of cash flow in POWER TOOLS DEPARTMENT in comparison to the TOTAL CASH FLOW.
Here, Maci is trying to find out the portion of the cash inflow in power tools department with respect to the cash flow of other departments in the hardware store.
The given data represents, the 30% of TOTAL CASH INFLOW = $56,700 and it is in the power tools department.