Sorry, I havent learned that.
We need to convert this equation to slope-intercept form first.
We can do that by solving for y.
x - 5y = 15
<em><u>Add 5y to both sides.</u></em>
x = 5y + 15
<em><u>Subtract 15 from both sides.</u></em>
x - 15 = 5y
<em><u>Divide both sides by 5.</u></em>
y = 1/5x - 3
We now know the slope is 1/5.
The slope of the line perpendicular to the line with a slope of 1/5 is -5.
The slope of a perpendicular line is the negative reciprocal of the original slope.
Using a graphing calculator, we know the y-intercept of the line that is perpendicular to the original line must have a y-intercept of -6 to run through the points (-2, 5).
The equation of the new line is y = -5x - 6.
Answer:
Discrete variables
Calculate the mean.
Subtract the mean from each observation.
Square each of the resulting observations.
Add these squared results together.
Divide this total by the number of observations (variance, S2).
Use the positive square root (standard deviation, S).
Answer:
x = - 4, x = 0, x = 1
Step-by-step explanation:
To find the zeros equate p(x) to zero, that is
3x³ + 9x² - 12x = 0 ← divide through by 3
x³ + 3x² - 4x = 0 ← factor out x from each term
x(x² + 3x - 4) = 0
x(x + 4)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x = 0
x + 4 = 0 ⇒ x = - 4
x - 1 = 0 ⇒ x = 1
