Use inductive reasoning to predict the next equation.36 - 34 + 32 - 30 = 37 - 35 + 33 - 3146 - 44 + 42 - 40 = 47 - 45 + 43 - 41
A. 56 - 54 + 52 - 50 = 57 - 55 + 53 - 51
B. 56 + 54 - 52 - 50 = 57 + 55 - 53 + 51
C. 56 - 54 - 52 + 50 = 57 - 55 + 53 - 51
D. 56 + 54 - 52 + 50 = 57 + 55 - 53 + 51
Answer: A
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Find the vertex, focus, and directrix of the parabola. Graph the equation.(y + 1)2 = 4(x + 3)
A. vertex: (3, 1)
focus: (3, 2)
directrix: y = 0
B. vertex: (-3, -1)
focus: (-2, -1)
directrix: x = -4
C. vertex: (1, 3)
focus: (2, 3)
directrix: x = 0
D. vertex: (-3, -1)
focus: (-3, 0)
directrix: y = -2
Find an equation of variation for the given situation.y varies directly as x and inversely as z , and y = 5 when x = 10 and
A. y = 8xz
B. y = 5xz
C. y =
D. y =
Answer the question. is parallel to
. Identify two pairs of congruent angles and the number of degrees in each congruent angle.
A. ?ADC ? ?BAD ; both are 68°. ?FAB ? ?EDC ; both are 112°. B. ?FAB ? ?EDC ; both are 68°. ?ADC ? ?BAD ; both are 112°. C. ?FAB ? ?BAD ; both are 68°. ?EDC ? ?CDA ; both are 68°. D. ?CDA ? ?FAB ; both are 112°. ?EDC ? ?BAD ; both are 112°.
For the scatterplot below, determine which, if any, of the following functions might be used as a model for the data. Quadratic: f(x) = ax2 + bx + c Polynomial, not quadratic Exponential, f(x) = aekx, k > 0 Exponential, f(x) = ae-kx, k > 0 Logarithmic, f(x) = a + b ln x Logistic, f(x) = Year
A. Exponential, f(x) = aekx, k > 0
B. Logistic, f(x) =
C. Exponential, f(x) = ae-kx, k > 0
D. Logarithmic, f(x) = a + b ln x