The propibility would be six
Answer:
Step-by-step explanation:
By definition, we know that the quadratic equation in the vertex form is:
Where (h, k) is the vertex.
We have thefollowing equation given in the problem:
Therefore, you can conclude that the vertex is (-8,6).
Therefore the answer is:
Answer:
r = 40/π exact answer
r = 12.7 decimal approximation
Step-by-step explanation:
arc length formula
s = (∅/360) * 2πr
s = (∅/180) * πr
--------------------------------
Plug in the givens
10 = (45/180) * πr
10 = .25πr
Divide both sides by .25
40 = πr
divide both sides by π
40/π = r
r = 40/π exact answer
r = 40/3.14
r = 12.7 decimal approximation
Answer:
N = 15 & x = 3.2
Step-by-step explanation:
divide 6 by 2 to get 1/5, which is 3. then you multiply 3 by 5 to get the answer.
sixteen-thirds is equal to 5 1/3, which you can divide by 7 to get one-seventh, which is 0.8. Then you can multiply that by 4 to get 3.2.
Answer: C) Sometimes positive; sometimes negative
============================================================
Explanation:
Pick a value between x = -1 and x = 0. Let's say we go for x = -0.5
Plug this into f(x)
f(x) = x(x+3)(x+1)(x-4)
f(-0.5) = -0.5(-0.5+3)(-0.5+1)(-0.5-4)
f(-0.5) = -0.5(2.5)(0.5)(-4.5)
f(-0.5) = 2.8125
We get a positive value.
This shows that f(x) is positive on the region of -1 < x < 0
----------------
Now pick a value between x = 0 and x = 4. I'll use x = 1
f(x) = x(x+3)(x+1)(x-4)
f(1) = 1(1+3)(1+1)(1-4)
f(1) = 1(4)(2)(-3)
f(1) = -24
Therefore, f(x) is negative on the interval 0 < x < 4
----------------
In short, f(x) is both positive and negative on the interval -1 < x < 4
It's positive when -1 < x < 0
And it's negative when 0 < x < 4