Answer:
k = - 6
Step-by-step explanation:
Since (x - 2) is a factor then x = 2 is a root
Substitute x = 2 into the polynomial and equate to zero, that is
2³ + k(2)² + 12(2) - 8 = 0
8 + 4k + 24 - 8 = 0
4k + 24 = 0 ( subtract 24 from both sides )
4k = - 24 ( divide both sides by 4 )
k = - 6
last week because, the class that week was only 1 hour and last weeks was 3/2 an hour
Answer:
the middle 50% of most lengths of pregnancies ranges between 255.62 days and 274.38 days
Step-by-step explanation:
Given that :
Mean = 265
standard deviation = 14
The formula for calculating the z score is 
x = μ + σz
At middle of 50% i.e 0.50
The critical value for 
From standard normal table
+ 0.67 or -0.67
So; when z = -0.67
x = μ + σz
x = 265 + 14(-0.67)
x = 265 -9.38
x = 255.62
when z = +0.67
x = μ + σz
x = 265 + 14 (0.67)
x = 265 + 9.38
x = 274.38
the middle 50% of most lengths of pregnancies ranges between 255.62 days and 274.38 days
The point that Sam's house is located is at (2.5, -2)
<h3 /><h3>Midpoint of coordinate points</h3>
The formula for calculating the midpoint of coordinate is expressed as:
M(x, y) = {(x₁+x₂)/2, (y₁+y₂)/2}
Given the coordinate between their locations at (-4, 4) and (-9, 8)
Determine the midpoint
x = (-4+9)/2
x =5/2 = 2.5
Similarly
y = 4-8/2
y = -4/2
y = -2
Hence the point that Sam's house is located is at (2.5, -2)
Learn more on midpoint here: brainly.com/question/5566419
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You answer is false because the 25 is almost equal to 28 have a nice day
