For this case we have the following inequality: y < 3x + 1 < br/ >
What we must do is to evaluate a point of the Cartesian plane and verify if it is in the shaded region.
The shaded region represents the solution of the system of equations.
For the point (0, 0) we have:
0 < 3(0) + 1 < br / >
0 < 0 + 1 < br / >
0 < 1 < br / >
Therefore, the point (0, 0) is in the shaded region because it satisfies the inequality.
Then, the points that are on the line, are not part of the solution because the sign is of less strict.
Hope I helped ~~Laurel
Answer:
x = -2
Step-by-step explanation:
From x = -2 to x = 5, f' is negative. That means f is decreasing.
From x = 5 to x = 6, f' is positive. That means f is increasing.
The negative area (between x = -2 and x = 5) is larger than the positive area area (between x = 5 and x = 6). That means f decreases more than it increases.
So f is an absolute maximum at x = -2.
We use the trinomial theorem to answer this question. Suppose we have a trinomial (a + b + c)ⁿ, we can determine any term to be:
[n!/(n-m)!(m-k)!k!] a^(n-m) b^(m-k) c^k
In this problem, the variables are: x=a, y=b and z=c. We already know the exponents of the variables. So, we equate this with the form of the trinomial theorem.
n - m = 2
m - k = 5
k = 10
Since we know k, we can determine m. Once we know m, we can determine n. Then, we can finally solve for the coefficient.
m - 10 = 5
m = 15
n - 15 = 2
n = 17
Therefore, the coefficient is equal to:
Coefficient = n!/(n-m)!(m-k)!k! = 17!/(17-5)!(15-10)!10! = 408,408
Answer:
The magnitude of the necessary lifting force is 7.95N
Step-by-step explanation:
Force = mv^2/r
mass (m) = 2.00105kg, velocity (v) = 123m/s, radius (r) = 3810m
Force = 2.00105×123^2/3810 = 30273.89/3810 = 7.95N
Just multiply 42 by 10 and that gives you 420 , so the real car has a length of 420cm or 4.2 metres :)
