Answer:
Yoshi bought <u>4 postcards.</u>
Step-by-step explanation:
20 ÷ 5 = 4
Answer:
dom: (-∞,∞)
dom: (–∞,–2)u(–2,∞)
Step-by-step explanation:
*distribute the negative sign into (x+2)!

a parabola (anything that begins with
) will have a domain of (-∞,∞) or all real numbers!!
use synthetic division to divide (the attached picture)
domain: Because the graph is not continuous, you have to write the domains on both sides of the asymptote which is (-∞,-2)u(-2,∞)
<u>synthetic division:</u>
1. take the divisor (x+2) and solve for x. x= –2 this goes in the top left corner
2. write the numbers AND their signs on the top row. if there is no number and just the variable (like
) just write 1.
3. the first number gets pulled down
4. multiply -2 by 1 and subtract it from –5. (-5-2= -7)
multiply -2 by -7 and add that to the next number in the top row which is -7. (-7 + 14=7)
5. the first number in the bottom row of numbers is the first number in the answer but with one less exponent than the dividend. **write 1 as x**
6. the last number in the bottom row, if it is not 0, is a remainder. write it as that number over the divisor. in this case the remainder is 7. so write it as 
1.9 because if the number after it is lower then it is just the first number
Answer: The answer is 8.
Step-by-step explanation: The first step is to convert the expression into figures. We shall call the unknown number Y. So if we are told “the square of a number,” that means Y squared, or better still, Y^2. Further we are told “the difference between the square of a number and 40” and that can be written as;
Y^2 - 40.
Next we are told that this expression is equal to 3 times that number (that is 3Y). That can now be written out as follows,
Y^2 - 40 = 3Y
If we move all expressions to one side of the equation, what we would have is,
Y^2 - 3Y -40 = 0
(Remember that when a positive value crosses to the other side of an equation it becomes negative and vice versa)
We now have a quadratic equation
Y^2 -3Y - 40 = 0
By factorizing we now have
(Y -8) (Y + 5) = 0
Therefore Y - 8 = 0 or
Y + 5 = 0
Hence, Y = 8 or Y = -5
Since we are asked to calculate the positive solution, Y = 8
Answer:
The size of file downloaded is <em>88 megabytes.</em>
Step-by-step explanation:
Given that:
Average rate of downloading the file = 
Time taken to download = 
Formula for the size of file downloaded = 
Rate of downloading, 
Time taken,
= 110 seconds
To find:
Size of file downloaded in megabytes = ?
Solution:
First of all, let us apply the given formula to find the size of file downloaded:
Size of file downloaded =
Size of file downloaded = 800 kilobytes seconds
110 seconds =
<em>88000 kilobytes</em>.
Now, let us convert the unit kilobytes to megabytes to find the answer.
<em>Conversion formula:</em>
1000 kilobytes = 1 megabyte
Let us use unitary method to find the number of megabytes in 88000 kilobytes.
1 kilobytes =
megabytes
88000 kilobytes =
88000 megabytes
<em>88 megabytes.</em>
Therefore, the size of file downloaded is <em>88 megabytes.</em>