Is the ordered triple a solution to the given system of equations?(-3, -1, 4) 2x - 2y - 3z = -16 4x - 3y + 3z = 3 x + y - 5z = -24.
A. Yes
B. No
Answer: A
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Find the center, transverse axis, vertices, foci, and the equations of the asymptotes of the hyperbola.4x2 - 36y2 = 144
A. center: (0, 0)
transverse axis: y = 0
vertices: (-6, 0), (6, 0)
foci: (-2, 0), (2
, 0)
asymptotes: y = - x and y =
x
B. center: (0, 0)
transverse axis: y = 0
vertices: (0, -6), (0, 6)
foci: (0, -2), (0, 2
)
asymptotes: y = - x and y =
x
C. center: (0, 0)
transverse axis: y = 0
vertices: (-2, 0), (2, 0)
foci: (-2, 0), (2
, 0)
asymptotes: y = - x and y =
x
D. center: (0, 0)
transverse axis: y = 0
vertices: (-6, 0), (6, 0)
foci: (-4, 0), (4
, 0)
asymptotes: y = - x and y =
x
Estimate an answer to the problem.A 22-ounce can of coffee is 6.3 inches (.525 ft) tall. How many cans of coffee stacked one on top of another would it take to reach the top of a building that is 10 feet tall? Round to the nearest one.
A. 3 B. 39 C. 26 D. 19
Solve the problem.The function f(t) = -0.15t2 + 0.49t + 31.7 models a certain country's population in millions, ages 65 and older, where t represents years after 2010. The function g(t) = 0.56t2 + 12.55t + 105.7 models the total yearly cost of the government's health insurance program in billions of dollars, where t represents years after 2010. What does the function represent? Find
(15).
A. Cost per person in thousands of dollars. $79.24 thousand B. Cost per person in thousands of dollars. $0.01 thousand C. Cost per person in thousands of dollars. $0.17 thousand D. Cost per person in thousands of dollars. $7.65 thousand
Use the pictograph to answer the question.The pictograph illustrates the number of miles driven each day for one week. Each car represents 15 miles. How many more miles were driven on Wednesday than on Sunday?
A. 60 miles B. 45 miles C. 30 miles D. 75 miles