What is the y-intercept of the function, represented by the table of values below?
2 answers:
Answer: D.8
Step-by-step explanation:
y-intercept means the point of the line crosses the y-axis, where x = 0.
y = mx + b represent most linear equation, where m is the slope and b is the y-intercept.
Step 1: Find the slope of the line, choose two points: (-2,16) and (1,4).
slope = =
=
= -12/3 = -4
Step 2: Solve b by choose one point to plug in. (1,4)
y = mx + b
4 = -4(1) + b [Plug in the value of x, y, and slope]
4 = -4 + b [Add 4 on both sides]
8 = b
Therefore, the y-intercept is D.8
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Answer:
d) 4 ± 5i
Step-by-step explanation:
Here we have to use the quadratic formula.
x =
In the given equation x^2 - 8x + 41 = 0, a =1, b = -8 and c = 41
Now plug in the given values in the above formula, we get
x =
Simplifying the above, we get
x =
x =
[√-100 = √-1 *√100 = i*10 = 10i] because the value of √-1 = i]
x = (8 ± 10i )/2
Now dividing by 2, we get
x = 4 ± 5i
The answer is d) 4 ± 5i
Hope you will understand the concept.
Thank you.