Step-by-step explanation:
Hey, there!!
C = {6,8}
n(C) means cardinality of set.
We define cardinality of set as the no. of elements present in set.
It contains 2 no. of elements.
so, its cardinality is n(C) is 2.
<em><u>Hope</u></em><em><u> </u></em><em><u>it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>
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:
12 cows - 48 legs
4 ducks- 8 legs
- there are many different numbers you can do but if you want to change the numbers and have more ducks then: for every one cow you take away two more ducks.
Step-by-step explanation:
22 total animals
56 total legs
ducks have 2 legs
cows have 4 legs
12 times 4 = 48 ( 12 cows with 4 legs each cow = 48 legs)
4 times 2 = 8 ( 4 ducks with 2 legs each duck = 8 legs)
Answer:
A. (2x + 5)(2x - 5)
Step-by-step explanation:
Factor out the polynomial given.
(4x² - 25) = (2x - 5)(2x + 5)
Check: Use the FOIL method.
(2x)(2x) = 4x²
(2x)(5) = 10x
(2x)(-5) = -10x
(-5)(5) = -25
Simplify. Combine like terms: 4x² + 10x - 10x - 25 = 4x² - 25
A. (2x + 5)(2x - 5) is your answer
~
Answer:
D. (6,3)
Step-by-step explanation:
To the find which point can be located on the line you will have to find the point-slope form
The formula for point-slope form is y=mx+b
m is slope
b is y-intercept
Since we already know the slope we can just replace it:
y=1/2x+b
Now we need to find the y-intercept
We can do this by distributing them with (4,2)
As you remember in point the digits are in x and y
(x,y) so we can tell that 4 is x and 2 is y
Now we can substitute x with 4 and y with 2
2=1/2(4)+b
Multiply 1/2 and 4
which is 2
2=2+b
Thus b=0
So the slope intercept form is y=1/2x
Now we can substitute the other points:
For (5,2):
2=5/2
Which is incorrect since 2 does not equal 5/2
For (2,3):
3=1/2(2)
Which is
3=1
Which is incorrect since 3 does not equal 1
For (3,4)
4=1/2(3)
Which is
4=3/2
Which is incorrect since 4 does not equal 3/2
For (6,3)
3=1/2(6)
Which is
3=3
Which is correct since 3 does equal to 3
Hope this helps!
