Answer:
1 .4x2-9= 2x+3,2x-3
2 .16x2-1=4x-1,4x+1
3 .16x2-4=4(2x+1)(2x-1)
4 .4x2-1=(2x+1)(2x-1)
Step-by-step explanation:
16x² − 1 = (4x − 1)(4x + 1) ; 16x² − 4 = 4(2x + 1)(2x − 1); 4x² − 1 = (2x + 1)(2x − 1) ;
4x² − 9 = (2x + 3)(2x − 3)
16x² − 1 is the difference of squares. This is because 16x² is a perfect square, as is 1. To find the factors of the difference of squares, take the square root of each square; one factor will be the sum of these and the other will be the difference.
The square root of 16x² is 4x and the square root of 1 is 1; this gives us (4x-1)(4x+1).
16x² − 4 is also the difference of squares. The difference of 16x² is 4x and the square root of 4 is 2; this gives us (4x-2)(4x+2). However, we can also factor a 2 out of each of these binomials; this gives us
2(2x-1)(2)(2x+1) = 2(2)(2x-1)(2x+1) = 4(2x-1)(2x+1)
4x² − 1 is also the difference of squares. The square root of 4x² is 2x and the square root of 1 is 1; this gives us (2x-1)(2x+1).
4x² − 9 is also the difference of squares. The square root of 4x² is 2x and the square root of 9 is 3; this gives us (2x-3)(2x+3).
Answer:
$112.75
Step-by-step explanation:
5% of 118.65=5.9
118.65-5.9=112.75
Answer:
You could be working at the Starbucks coffee and you messed up the coffee machine and it's turning really hot it can catch on fire and the counter is made out of would and other flammable stuff you can burn the whole Starbucks down to rubble
Answer:
Hey! I believe this is your answer:
11094%
Step-by-step explanation:
Answer:
6, 11, 16, 21
Step-by-step explanation:
To obtain the first 4 terms add the common difference 5 to the previous term, that is
a₁ = 6
a₂ = a₁ + 5 = 6 + 5 = 11
a₃ = a₂ + 5 = 11 + 5 = 16
a₄ = a₃ + 5 = 16 + 5 = 21
