6x²-5x+1
=6x²-3x-2x+1
=3x(2x-1)-1(2x-1)
=(3x-1)(2x-1)
Answer:
{x,y}={8,5}
Step-by-step explanation:
12x + 12y = 156 4x + 6y = 62
We don’t know the value of the shorter side, so we will categorize it as x. Side 2 is just 4 feet longer than x, so we would add 4 on to it. Side 3 has double the x, so we would multiply it be 2 for 2x, and subtract the 4 feet from it.
Side 1: x
Side 2: x + 4
Side 3: 2x - 4
If the perimeter is 64 feet, then all of the sides have to add up to it. Therefore, first we add all of the side lengths up:
x + x + 4 + 2x - 4 = 4x.
Now we put 4x, the amount of all these sides added up, equal to the perimeter of 64.
4x = 64. Divide both sides by 4 to get x by itself.
x = 16.
Now that we know x is 16, we will substitute it in for all the side lengths’ equations.
We know that Side 1 was just x, so that will be 16. Since Side 2 was 4 more than x, we’d do 16 + 4 = 20. We substitute 16 in for x in Side 3’s equation: 2(16) - 4 = 32 - 4 = 28.
Therefore, the final lengths of all the sides are:
Side 1: 16
Side 2: 20
Side 3: 28
Answer: 38.41 minutes
Step-by-step explanation:
The standard error for the difference in means is given by :-
where , 
= Standard deviation for sample 1.
= Size of sample 1.
= Standard deviation for sample 2.
= Size of sample 2.
Let the sample of Latino name is first and non -Latino is second.
As per given , we have
The standard error for the difference in means will be :
Hence, the standard error for the difference in means =38.41 minutes
Answer:
Choice C is correct.
Step-by-step explanation:
put point A in (x+1,y-3)
now (-6,4) becomes (-5,1).
put point C in (x+1,y-3)
now (2,1) becomes (3,-2)
put point B in (x+1,y-3)
now (-3,-2) becomes (-2,-5).
