Answer:
a = -2
h = -1
k = -6
Step-by-step explanation:
This is called the vertex form of a quadratic:
y = a(x – h)2 + k
To arrive at the answer, simply locate where each variable would be in place of the number.
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1. Using the exponent rule (a^b)·(a^c) = a^(b+c) ...

Simplify. Write in Scientific Notation
2. You know that 256 = 2.56·100 = 2.56·10². After that, we use the same rule for exponents as above.

3. The distributive property is useful for this.
(3x – 1)(5x + 4) = (3x)(5x + 4) – 1(5x + 4)
... = 15x² +12x – 5x –4
... = 15x² +7x -4
4. Look for factors of 8·(-3) = -24 that add to give 2, the x-coefficient.
-24 = -1×24 = -2×12 = -3×8 = -4×6
The last pair of factors adds to give 2. Now we can write
... (8x -4)(8x +6)/8 . . . . . where each of the instances of 8 is an instance of the coefficient of x² in the original expression. Factoring 4 from the first factor and 2 from the second factor gives
... (2x -1)(4x +3) . . . . . the factorization you require
Answer:

Step-by-step explanation:
<u>Extended Information </u><u>on</u><u> </u><u>the</u><u> Complex Number System</u>
![\displaystyle \sqrt{-1} = i \\ -1 = i^2 \\ -i = i^3 \\ 1 = i^4\:[all\:multiples\:of\:four]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Csqrt%7B-1%7D%20%3D%20i%20%5C%5C%20-1%20%3D%20i%5E2%20%5C%5C%20-i%20%3D%20i%5E3%20%5C%5C%201%20%3D%20i%5E4%5C%3A%5Ball%5C%3Amultiples%5C%3Aof%5C%3Afour%5D)
I am joyous to assist you at any time.
All work is shown above. ↑
Answer:
B. y =
Step-by-step explanation:
I. Given x = 15 and y = 4
4 = 
4 = 2+2
4 = 4 true
II. Give x = 0 and y = 2
2 = 
2 = 0 + 2
2 = 2 true
III. Given x = -15 and y = 0
0 = 
0 = -2 + 2
0 = 0 true
Good luck.