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:Number Sets. There are sets of numbers that are used so often they have special names and symbols: ... The numbers you can make by dividing one integer by another (but not dividing by zero). In other words ... If you square a real number you always get a positive, or zero, result. ... x + 7 = 0, x = −7, Integers, set integer.
Step-by-step explanation:
Answer:
a. $12.54 = $ 1.65 + c/2 + c b. $ 7.26
Step-by-step explanation:
a. What equation can you use to find the cost c of a sandwich
Let c be the cost of a whole ham sandwich. Now, the total bill = cost of drinks + cost of half a ham sandwich + cost of a whole ham sandwich.
total bill = $ 12.54, cost of drinks = $ 1.65, cost of half a ham sandwich = c/2 and cost of a whole ham sandwich = c. So,
$12.54 = $ 1.65 + c/2 + c
b. What is the value of c
We then solve for c in the equation $12.54 = $ 1.65 + c/2 + c
collecting like terms, we have
$12.54 - $ 1.65 = c/2 + c
$ 10.89 = 3c/2
multiplying through by 2, we have
$ 10.89 × 2 = 3c
$ 21.78 = 3c
dividing through by 3, we have
c = $ 21.78/3
= $ 7.26
Answer:
-22
Step-by-step explanation:
4 + 9 + (16 ÷ 4 - 8 - 3) × 5
= 13 + (4 - 8 - 3) × 5
= 13 - 7 × 5
= 13 - 35
= -22
The rational bumber between -2 and 0 is -1
