Answer:
The equation has two solutions for x:
<u>x₁ = (8 + 10i)/2</u>
<u>x₂ = (8 - 10i)/2</u>
Step-by-step explanation:
Let's use the quadratic formula for solving for x in the equation:
X^2 - 8X + 41= 0
x² - 8x + 41 = 0
Let's recall that the quadratic formula is:
x = -b +/- (√b² - 4ac)/2a
Replacing with the real values, we have:
x = 8 +/- (√-8² - 4 * 1 * 41)/2 * 1
x = 8 +/- (√64 - 164)/2
x = 8 +/- (√-100)/2
x = 8 +/- (√-1 *100)/2
Let's recall that √-1 = i
x = 8 +/- 10i/2
<u>x₁ = (8 + 10i)/2</u>
<u>x₂ = (8 - 10i)/2</u>
I'm pretty sure the slope is: - 4/11
Answer:
Behavioral modality of measurement
Step-by-step explanation:
Observing a 3rd grade student for 30 minutes as to how many time he leaves his seat without permission is a clear example of using behavioral modality of measurement.
In this modality of measurement the behavior of the object or system is observed when it is put into action.
This example shows as to what will happen or what is supposed to take place when a 3rd grade student is is seated and observed for 30 minutes. It counts as to how many times he leaves his seat in reaction to his stimulus from the environment.
We are told that Emerson struck out 112 times in 350 at-bats. We are asked to find the percent of strike outs per at-bat.
Let us find out 112 is what percent of 350.



Therefore, Emerson struck out 32% of the at-bats.
Answer 28 because you plug it in for your answer.