Step-by-step explanation:
Let the number be x.
ATQ,
Malachy halves the number and gets an answer of 67.3.
This the equation for the given statement.
It can also be written as :
Hence, this is the required solution.
Answer:
<h2>
Function is
y = x.</h2><h2>
Domain: 
.</h2><h2>
Range: 
.</h2>
Step-by-step explanation:
In the given image, the line passes through (-1, -1) and (1, 1).
Let the equation of the line is 
, where m is the tangent of the line and c is a constant.
Putting the co-ordinates of the points in the equation, we get 
and 
From the two equations we get, c = 0 and m = 1.
Hence, the function is y = x.
Domain is .
Range is
First, we have to realize that this is factored form, so we have to put this in standard quadratic form using FOIL, which is a rule mandating how we multiply the numbers here. F stands for First, which means the first number inside the parentheses for both of them, then O means the first number in the first quantity(fancy word for parentheses) multiplied by the last number of the second quantity, and so forth. When you are done, you combine like terms
anyway, you end up with x²-12x-189, but you have to inverse all numbers because of the parentheses in front, so it becomes -x²+12x+189.
Now you can find the axis of symmetry uisng the equation -b=2a (oh yeah, I forgot to mention: the standard quadratic form is a(x)²+b(x)+c already). So you do -12 / -2, which then becomes 6.
The axis of symmetry is 6
For this sort of problem, you need to be familiar with prefixes.
So:
megabyte = 
bytes
kilobyte = 
bytes
and a regular byte would just be 
Now, you will need to do a conversion:
I'm going to explain this just in case, but we convert megabytes to regular bytes in the first half by using the information I gave you above. (In one megabyte, there are 
bytes!)
In the second fraction thought, remember one kilobyte is bytes. However, you usually only see one of each thing on the bottom of fractions, so you need to add a negative sign to the 3. (technically you could just do 
, but I think it is more correct to do write it out how I did).
*** They do equal the same thing though! Do whichever way is easier for you!
Now, your answer should be:
kilobytes (1000 kilobytes)
Hope this helped!
Answer:
3156
Step-by-step explanation:
- <em>Used formula:</em>
- <em>(1² + 2² + 3² + ... + n²) =1/6*n(n + 1)(2n + 1)</em>
--------
- 10²+12²+14²+......+26² =
- (2*5)²+(2*6)² + (2*7)² + ... + (2*13)² =
- 4*(5²+6²+7²+...+13²) =
- 4*(1²+2²+...+13² - (1²+2²+3²+4²)) =
- 4*(1/6*13(13+1)(2*13+1) - (1+4+9+16)) =
- 4*(1/6*13*14*27- 30) =
- 4*(819 - 30) =
- 4*789 =
- 3156
