Answer:
1. 68%
2. 95%
3. 99.7
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
This is a difference of squares and factors in general as
a² - b² = (a - b)(a + b)
16
= ( 4
)² ⇒ a = 4
1 = 1² ⇒ b = 1
Hence
16
- 1
= (4
)² - 1²
= (4
- 1)(4
+ 1)
4
- 1 ← is also a difference of squares and factors as
(2x² - 1)(2x² + 1)
Thus
16
- 1
= (2x² - 1)(2x² + 1)(4
+ 1 )
Answer:

Step-by-step explanation:
We want to find a third degree polynomial with zeros <em>x </em>= 2 and <em>x</em> = 2i and f(-1) = 30.
First, note that by the Complex Root Theorem, since <em>x</em> = 2i is a root, <em>x</em> = -2i must also be a root.
Hence, we will have the three factors:

Where <em>a</em> is the leading coefficient.
Expand and simplify the second and third factors:

Hence:

Since f(-1) = 30:

In conclusion, third degree polynomial function is:

Answer:
I think it is 6/7
Step-by-step explanation:
I am really bad at explaining but I'm not completely sure
<span>Solving for the slope using points ( (−4, 15), (0, 5)</span>
M = ( 15 – 5) / ( -4 – 0) = -5 / 2
Solving for b
<span>
Y = mx + b</span>
5 = 0(-5/2) + b
B = 5
So the linear function is
<span>Y = (-5/2) x + 5</span>