Excluded values are any values of x that make the denominator equal zero. In this case, -2 and 2 are excluded values.
you have to apply this formula (a+b)(c-d)=ac-ad+bc-bd
-6a^3*b*5a^2+6a^3b*2ab+6a^3b*b+2ab^2*5a^2-2ab^2*2ab-2ab^2*b=
-30a^5*b+12a^4b^2+6a^3b^2+10a^3b^2-4a^2b^3-2ab^3
Answer:
x² - 2x - 2
By Completing the Square....
x² - 2x + 1² - 2 - 1²
(x - 1)² - 3 .....
Hope it helps.
Answer:
The interval that represents the middle 68% of her commute times is between 33.5 and 42.5 minutes.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 38 minutes, standard deviation of 4.5 minutes.
Determine the interval that represents the middle 68% of her commute times.
Within 1 standard deviation of the mean. So
38 - 4.5 = 33.5 minutes
38 + 4.5 = 42.5 minutes.
The interval that represents the middle 68% of her commute times is between 33.5 and 42.5 minutes.
Answer:
y = -1/4x + 3
Step-by-step explanation:
Because you are finding the perpendicular slope, you need to find the negative reciprocal of the original line, which would be -1/4. You then use point slope form to find the y-intercept with the slope and given point:
y - 5 = -1/4(x + 8). That equals to y = -1/4x + 3.
So the equation of this line is y = -1/4x + 3.
