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:
Option E
Step-by-step explanation:
This survey will not be reliable as it is chosen for convenience; the first 120 students to arrive in school on a particular morning and this collection of individuals may not be a representative of the population. The study may become biased because it does not take into account the latecomers among the students which might have been changed the study from systematically favoring certain outcomes.
Hello!
-2x + y = 1
-4x + y = -1
You can subtract these equations from each other to eliminate y
2x = 2
Divide both sides by 2
x = 1
Put this into one of the original equations
-2(1) + y = 1
Combine like terms
-2 + y = 1
Add 2 to both sides
y = 3
The answer is D) (1, 3)
Hope this helps!
The graph suggests that the two lines meet at
If this is true, that point must belong to both lines.
To check this, plug in both equations, and you must get once you simplifiy all the numbers.
In the first equation we have
In the second,
The arc length formula is s = r*theta, where r is the radius and theta is the central angle in radians (not degrees).
Here, r = 3.4 cm and the central angle is 46 degrees. We MUST convert this measure 46 degrees into radians, using the conversion factor derived from 180 degrees = pi radians:
arc length = r*theta = (3.4 cm)*(46 degrees)*(pi rad) / (180 degrees) =
2.730 cm (to the nearest thousandth)
=