Answer: A. ![4.3\times10^7](https://tex.z-dn.net/?f=4.3%5Ctimes10%5E7)
Step-by-step explanation:
Given : A certain CD-ROM disk can store approximately
megabytes of information.
1 megabyte =
bytes
Then, The storage capacity of CD-ROM disk will be :
If an average word requires 14 bytes of storage, then the number of words can be stored :-
![\dfrac{6\times10^8}{14}=0.428571428571\times10^8\approx0.43\times10^8=4.3\times10^7](https://tex.z-dn.net/?f=%5Cdfrac%7B6%5Ctimes10%5E8%7D%7B14%7D%3D0.428571428571%5Ctimes10%5E8%5Capprox0.43%5Ctimes10%5E8%3D4.3%5Ctimes10%5E7)
Hence, number of words can be stored = ![4.3\times10^7](https://tex.z-dn.net/?f=4.3%5Ctimes10%5E7)
Answer:y = - 5x - 7
Step-by-step explanation:The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
here m = - 5 and b = - 7, hence
y = - 5x - 7 ← equation of line
<span>f(x) = x</span>² <span>+ 12x + 6 </span>→ y = x² + 12x + 6<span>
Let us convert the standard form into vertex form.
1) Complete the squares. Isolate x</span>² and x terms.
<span>y - 6 = x</span>² + 12x
<span>
2) Create the perfect square trinomial. Whatever number is added on one side must also be added on the other side.
y - 6 + 36 = x</span>² + 12x + 36<span>
y + 30 = (x + 6)</span>²
<span>y = (x + 6)</span>² - 30 ← Vertex form
<span>
To check:
y = (x + 6) (x + 6) - 30
y = x</span>² + 6x + 6x + 36 - 30
<span>y = x</span>² + 12x + 6<span>
The zero that could be added to the given function is 36, -36</span>
Square (added characters)