Answer:
3/4
Step-by-step explanation:
3/4 = 75%
11/16 = about 68%
Therefore, 3/4 is greater
We start with

and wish to write it as

First, pull 2 out from the first two terms:

Let’s look at what is in parenthesis. In the final form this needs to be a perfect square. Right now we have

and we can obtain -10x by adding -5x and -5x. That is, we can build the following perfect square:

The “problem” with what we just did is that we added to what was given. Let’s put the expression together. We have

and when we multiply that out it does not give us what we started with. It gives us

So you see our expression is not right. It should have a -53 but instead has a -3. So to correct it we need to subtract another 50.
We do this as follows:

which gives us the final expression we seek:

If you multiply this out you will get the exact expression we were given. This means that:
a = 2
d = -5
e = -103
We are asked for the sum of a, d and e which is 2 + (-5) + (-103) = -106
Answer:
- (a) no
- (b) yes
- (c) no
- (d) no
Step-by-step explanation:
"Of the order x^2" means the dominant behavior matches that of x^2 as x gets large. For polynomial functions, the dominant behavior is that of the highest-degree term.
For other functions, the dominant behavior will typically be governed in some other way. Here, the rate of growth of the x·log(x) function is determined by log(x), which has decreasing slope as x increases.
Only answer selection B has a highest-degree term of x^2, so only that one exhibits O(x^2) behavior.
Answer:
- y = -5/2x + 5
- y = 2x -1
- y = 24/11
- y = 4x + 4
Step-by-step explanation:
To solve for y, subtract the x-term and divide by the coefficient of y.
5x +2y = 10
2y = -5x +10
y = -5/2x + 5
__
2y -4x = -2
2y = 4x -2
y = 2x -1
__
7y +4y = 24
y = 24/11
We assume there is a typo, but cannot tell what it is. Use the same method as described and demonstrated for the other problems.
__
-2x +1/2y = 2
1/2y = 2x +2
y = 4x +4
Answer:
a. Categorical
b. Quantitative
c. Categorical
d. Categorical
e. Quantitative
Step-by-step explanation:
a.
Month of year with most reservations is a qualitative or categorical variable because it can't be represented numerically in a meaningful way. For example, with most reservations month of a year can be June or July.
b.
Airbnb's total annual profit is a quantitative variable because it can be presented in numerical form and mathematical operation can be meaningfully interpreted.
c.
Type of rental on Airbnb is a qualitative or categorical variable because it can't be represented numerically in a meaningful way. Also, it can be divided into categories whole house, private room and shared room etc.
d.
Unique 10-digit reservation number is a qualitative or categorical variable as these exists in numerical form but these numbers are used only as identifiers. The mathematical operation on these numbers can't be meaningfully be interpreted.
e.
Number of house rentals is quantitative variable because it can be presented in numerical form and mathematical operation can be meaningfully interpreted.