Answer:
f(x) x^3 - 2x^2 + 5x + 12
Step-by-step explanation:
Next time please share the goal. I'm guessing your intent was to multiply out the given function.
f(x) = (x^2 + x - 3x - 3)(x - 4), or
= (x^2 - 2x - 3)(x - 4)
Now apply the distributive property of multiplication:
f(x) = x^3 - 4x^2 - 2x^2 + 8x - 3x + 12, or
= x^3 - x^2(4 - 2) + x(5) + 12, or
f(x) x^3 - 2x^2 + 5x + 12
the equation of the line is y= x-4
Step-by-step explanation:
so so the first thing that you're going to do is get y alone
-x-5=y
next you're going to find your slope which in this case is negative one.
after that in order to find the equation of a parallel line you're going to find the reciprocal of the slope.
so in this case the reciprocal is one.
next you're going to substitute in the cordinates to find the y intercept
x+b=y. (-1)+b= -5. (. b is the y intercept)
b= -4
Answer:
52
Step-by-step explanation:
Given that :
Mean (m) = 78
Standard deviation (s) = 13
Score that is 2 standard deviations below the mean
Using the relation :
Zscore = (x - m) / s
2 standard deviations below the mean means a Zscore of - 2
Hence,
-2 = (x - 78) / 13
Cross multiply
-2 * 13 = x - 78
-26 = x - 78
x = - 26 + 78
x = 52
Score which is 2 standard deviations below the mean is 52
Answer:
5
Step-by-step explanation: