Find the standard equation of the parabola with the given focus and directrix.Focus: (0, 0); directrix: x = -4
A. y2 = 8(x + 2)
B. x2 = 8(y + 2)
C. y2 = -8(x + 2)
D. x2 = -8(y + 2)
Answer: A
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Use a right triangle to write the expression as an algebraic expression. Assume that x is positive and in the domain of the given inverse trigonometric function.cos(tan-1 x)
A.
B.
C.
D. x
Discuss the symmetry of the graph of the polynomial function.f(x) = x2 + 2x - 8
A. None B. Symmetric about x = - 1 C. Symmetric about y = 1 D. Symmetric about x = 1
Solve the problem.The average number of prisoners in a county jail is modeled by y = 0.15x2 + 10.34x + 114.16, where x is the number of years after 2000.a. Graph this function from 0 to 30.b. Approximate, to the nearest whole number, how many prisoners there will be in 2010.c. Does this model indicate that the number of prisoners will increase or decrease from 2000 to 2030?
A. a.
b. 351
c. increase
B. a.
b. 233
c. increase
C. a.
b. 333
c. increase
D. a.
b. 233
c. increase
Change the word phrase to an algebraic expression. Use x as the variable to represent the number.Four divided by a number
A.
B. 4 - x
C. 4 + x
D. 4x