Find the standard form of the parabola with the given characteristics.
directrix: x = –1 vertex: (7, –1)
A) (x + 7)2 = 32(y – 1)
B) (x – 7)2 = 32(y + 1)
C) (x – 1)2 = 32(y + 7)
D) (y – 1)2 = 32(x + 7)
E) (y + 1)2 = 32(x – 7)
E) (y + 1)2 = 32(x – 7)
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Find the slope-intercept form of the equation of a line that passes through the given points.f(0) = 0, f(1) = -6
A. f(x) = - 
x
B. f(x) = 6x
C. f(x) = -6x
D. f(x) = 
x
A company installs 5,000 light bulbs. The lifetimes of the lightbulbs are approximately normally distributed with a mean of 500 hours and a standard deviation of 100 hours. Find the approximate number of bulbs that can be expected to last the indicated amount of time.At least 500 hours
A. 5,000 B. 1,000 C. 2,500 D. 2,400
Find the equation of the line described, and express your answer in the specified form.Perpendicular to the line y = 3x - 3; passes through the point (-1, 2); slope-intercept form
A. y = 3x + 
B. y = -3x + 
C. y = 
x + 
D. y = - 
x + 
Use the discriminant to determine whether the equation has two rational solutions, one rational solution, two irrational solutions, or two nonreal complex solutions. Do not actually solve.w2 + 5w + 8 = 0
A. Two rational solutions B. Two irrational solutions C. One rational solution D. Two nonreal complex solutions