25m/90minutes = .278 mile/minute
Divide 25/90 to get .278
Hope that helps
Answer:
f(g(x)) = x² - 2x + 1
Step-by-step explanation:
To find f(g(x)), substitute x = g(x) into f(x) , that is
f(g(x))
= f(x - 1)
= (x - 1)² ← expand using FOIL
= x² - 2x + 1
Answer:
y - value of the vertex is 49.
Step-by-step explanation:
Given function is f(x) = -(x - 3)(x + 11)
f(x) = -(x² - 3x + 11x - 33)
= -(x² + 8x - 33)
= -(x² + 8x + 16 - 49)
= -[(x + 4)² - 49]
= -(x + 4)² + 49
Comparing this equation with the vertex form of a quadratic function,
f(x) = -(x - h)² + k
Where (h, k) is the vertex of the function.
Vertex of the parabola is (-4, 49)
Therefore, y-value of the vertex is 49.
Answer:
Roger
Step-by-step explanation:
Since he is attending more shows, he will benefit. He will save a net amount of $40
Answer:
Suppose that A is the set of sophomores at your school and B is the set of students in discrete mathematics at your school.
a) It is the intersection A ∩ B
b) This is the difference A − B.
c) It is the union A ∪ B.
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d) It can be shown as A ∪ B. (bar over A and B both)