Answer:.75x200
Step-by-step explanation:
Answer:
Step-by-step explanation:
The parabola with vertex at point (h,k) is described by the following model:
The equation which satisfies the conditions described above:
The two points are evaluated herein:
x = -6
x = -2
The equation of the translated function is .
We will have to use the formula for the area of a trapezoid on this problem, which is ( and are the bases of the trapezoid and is the height):
All we need to do is substitute the information we are given into our formula:
Now, let's just simplify the equation:
The missing base has a length of 13 units.
Answer:
P(3) is true since 2(3) - 1 = 5 < 3! = 6.
Step-by-step explanation:
Let P(n) be the proposition that 2n-1 ≤ n!. for n ≥ 3
Basis: P(3) is true since 2(3) - 1 = 5 < 3! = 6.
Inductive Step: Assume P(k) holds, i.e., 2k - 1 ≤ k! for an arbitrary integer k ≥ 3. To show that P(k + 1) holds:
2(k+1) - 1 = 2k + 2 - 1
≤ 2 + k! (by the inductive hypothesis)
= (k + 1)! Therefore,2n-1 ≤ n! holds, for every integer n ≥ 3.