The value of the factorial is 5!4!/7!2! = 2/7
<h3>What is factorial?</h3>
The product of all positive integers less than or equal to a given positive integer and denoted by that integer and an exclamation point.
Given:
5!4!/7!2!
= 5!* 4*3*2!/7*6*5!*2!
=4*3/7*6
=12/42
=4/14
=2/7
Hence, 5!4!/7!2! = 2/7.
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Answer:
Do you want to be extremely boring?
Since the value is 2 at both 0 and 1, why not make it so the value is 2 everywhere else?
is a valid solution.
Want something more fun? Why not a parabola? .
At this point you have three parameters to play with, and from the fact that we can already fix one of them, in particular . At this point I would recommend picking an easy value for one of the two, let's say (or even , it will just flip everything upside down) and find out b accordingly:
Our function becomes
Notice that it works even by switching sign in the first two terms:
Want something even more creative? Try playing with a cosine tweaking it's amplitude and frequency so that it's period goes to 1 and it's amplitude gets to 2:
Since cosine is bound between -1 and 1, in order to reach the maximum at 2 we need , and at that point the first condition is guaranteed; using the second to find k we get
Or how about a sine wave that oscillates around 2? with a similar reasoning you get
Sky is the limit.
Answer:
x = 2.3202
Step-by-step explanation:
Given equation:
on taking log both sides, we get
now,
using the property of log function
log(aᵇ) = b × log(a)
therefore,
we get
(3x-5)log(10) = xlog(7)
now,
log(10) = 1
and
log(7) = 0.84509
thus,
( 3x - 5 ) × 1 = 0.84509x
or
3x - 0.84509x - 5 = 0
or
2.15491x = 5
or
x = 2.3202
The subtraction sign in front of the second set of parenthesis changes the signs on the terms inside those parenthesis. So this could be rewritten as
. None of the exponents on the x are the same, so we will just express it in terms of descending powers of x.
. This is also the same as
if you don't like to start with a negative. Either one is correct.
Answer:
From the answers you provided the best answer is B.52
Step-by-step explanation:
It starts past 32 so there's no way it can ever be that value as the graph is continuously increasing.