X= 6/17or the alternative form is 0.352941
Answer:
B
Step-by-step explanation:
Using the determinant to determine the type of zeros
Given
f(x) = ax² + bx + c ( a ≠ 0 ) ← in standard form, then the discriminant is
Δ = b² - 4ac
• If b² - 4ac > 0 then 2 real and distinct zeros
• If b² - 4ac = 0 then 2 real and equal zeros
• If b² - 4ac < 0 then 2 complex zeros
Given
f(x) = (x - 1)² + 1 ← expand factor and simplify
= x² - 2x + 1 + 1
= x² - 2x + 2 ← in standard form
with a = 1, b = - 2, c = 2, then
b² - 4ac = (- 2)² - (4 × 1 × 2) = 4 - 8 = - 4
Since b² - 4ac < 0 then the zeros are complex
Thus P(x) has no real zeros
Answer:
13
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is

Here [ a, b ] = [2, 6 ]
f(b) = f(6) = 6² + 5(6) - 8 = 36 + 30 - 8 = 58
f(a) = f(2) = 2² + 5(2) - 8 = 4 + 10 - 8 = 6
Hence
average rate of change =
=
= 13
Answer:
-3
Step-by-step explanation:
The average rate of change from point (x1, y1) to point (x2, y2) is given by ...
m = (y2 -y1)/(x2 -x1)
For the given points, this is ...
m = (2 -14)/(6 -2) = -12/4 = -3
The average rate of change on the interval is -3.
Answer:
I cannot see all of the graphs, but D looks to be the right answer.
Step-by-step explanation:
<em>I hope this helps!! Have a great day!!!</em>