Solve the problem.The accompanying figure shows the graph of y = -x2 shifted to a new position. Write the equation for the new graph.

A. y = -x2 - 4
B. y = -(x + 4)2
C. y = -(x - 4)2
D. y = -x2 + 4


Answer: D

Mathematics

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Solve the equation.x - 15 + 54 = 0

A. {6, 9} B. {36, 81} C. {36} D. {-6, -9}

Mathematics

Find the probability.The table lists the eight possible blood types. Also given is the percent of the U.S. population having that type.Let E be the event that a randomly selected person in the U. S. has type B blood. Let F be the event that a randomly selected person in the U. S. has RH-positive blood.Find P(F|E).

A. 0.818 B. 0.340 C. 0.720 D. 0.107

Mathematics

Rotate the axes so that the new equation contains no xy-term. Discuss the new equation.17x2 - 12xy + 8y2 - 68x + 24y -12 = 0

A. ? = 63.4°
 +  = 1
ellipse
center at (, - )
major axis is x'-axis
vertices at (4 + , - ) and (-4 + , - )
B. ? = 63.4°
 -  = 1
hyperbola
center at (0, 0)
transverse axis is the x'-axis
vertices at (±4, 0)
C. ? = 26.6°
 +  = 1
ellipse
center at (0, 0)
major axis is y'-axis
vertices at (0, ±4)
D. ? = 63.4°
x'2 = -16y'
parabola
vertex at (0, 0)
focus at (0, -4)

Mathematics

Translate the expression into a word phrase.10 ÷ r

A. Ten divided by r B. r divided by ten C. Ten plus r D. Ten minus r

Mathematics