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:
The linear equation is;
Y = 450 - 2·X
Please find the included graph
Step-by-step explanation:
Whereby we have the following relation;
The cost of 1 pizza = X
The cost of 1 burger = Y
Hence;
450 = Y + 2·X
Which gives;
Y = 450 - 2·X
The linear equation for the situation is therefore as presented above
The graph of the linear equation can be plotted using the assumed data as follows;
Y, X
1, 448
2, 446
3, 444
4, 442
5, 440
6, 438
7, 436
8, 434
9, 432
10, 430
11, 428
12, 426
13, 424
14, 422
15, 420
16, 418
Answer:
14
Step-by-step explanation:
i added it
I'll just name the lines as A, B, C, D, E.
A : Corresponding angles
B : Alternate Interior angles
C : Co - Interior angles
D : Vertical angles
E : Alternate Exterior angles
Answer:
-5 2/3
Step-by-step explanation:
is 3(x-2) = -7 then it's same as 3x-6=-7
We simplify this by adding 6 and subtracting 6.
Our result is
3x=-17
-17/3=-5 2/3
