Just substitute the first equation into the second and solve for x: <span><span>32</span>x=−<span>12</span>x+4⟹2x=4⟹x=2</span><span>Now, since y = 3/2 * x, we have y = 3 and we are done.</span>
2x + b = w
2x = w - b
x = (w - b)/2
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.
if we zero out f(x), namely make y = 0, we can get the roots or x-intercepts for this quadratic equation
now, the equation is in x-terms, meaning is a vertically opening parabola, so the axis of symmetry will be x = something, a vertical line.
well, we have two x-intercepts, one at -4 and another at 2, and the vertex is right half-way between those guys
-4------------(-1)------------2
so the vertex is at x=-1, namely the axis of symmetry is x = -1.
Answer and Step-by-step explanation:
The two statements that are true are statement 1 and statement 4:
- The sum of pi and 0 is irrational.
- The product of and is irrational.
Pi is an irrational number, and the square root of 19 is irrational. That's because these numbers can't be put into a simplified fraction to encompass all the digits it contains.
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