Step-by-step explanation:
(x+3)(x-5)
= x²-5x+3x-15 = x²-2x-15
But the given polynomial x³-15
So it is not the correct factorization.
Again, (x-3)(x+5)
= x²+2x-15
But the given polynomial x³-15
So it is not the correct factorization.
Again , (x+3)(x²-4x+5)
= x³-4x²+5x+3x²-12x+15
= x³-x²-7x+15
But the given polynomial x³-15
So it is not the correct factorization.
So , optionD is the correct answer
Y = -1/3x -1. The formula is y = mx + b where m is the slope and b is the y intercept.
(A) 13.75=3p+4h
(B) 9.75=2p+3h
(Ax3) 41.25=9p+12h
(Bx4) 39=8p+12h
(A-B)
2.25=p
So one slice is £2.25
Answer:
Option A) Inconsistent is correct
Step-by-step explanation:
Given equations are 
and 
Rewritting the equation y=5x+2 as below
5x-y=-2
Now multiplying the above equation into 2 we get
Now subtracting the equations (2) and (3)
10x-2y=12
10x-2y=-4
________
Therefore the given system of equations has no solution
Therefore it is inconsistent
Therefore given two lines are parallel. Two parallel lines never intersect, so the given system has no solution and is inconsistent.
Option A) Inconsistent is correct
Answer:
3.125%
0%
Step-by-step explanation:
A regular coin has two sides, meaning that each side has the same probability of landing which is 50%. Therefore, for the game to end exactly on the fifth flip it would need to land 3 times in a row on tails and the last 2 times on heads. Therefore, to get this probability we need to multiply 0.50 (50%) 5 times
0.5 * 0.5 * 0.5 * 0.5 * 0.5 = 0.03125 or 3.125%
Now the probability of three heads appearing in a sequence is 0% because after the second head in a row the game will automatically end.
